I guess you mean [tex]\cos a=-\dfrac25[/tex]. Since [tex]a[/tex] is in quadrant III, we expect [tex]\sin a<0[/tex]. Then
[tex]\sin a=-\sqrt{1-\cos^2a}=-\dfrac{\sqrt{21}}5[/tex]
Since [tex]b[/tex] is in quadrant I, we expect [tex]\sin b>0[/tex], so that
[tex]\sin b=\sqrt{1-\cos^2b}=\dfrac{\sqrt{15}}4[/tex]
Now,
[tex]\sin(a+b)=\sin a\cos b+\cos a\sin b=-\dfrac{2\sqrt{15}+\sqrt{21}}{20}[/tex]
[tex]\cos(a+b)=\cos a\cos b-\sin a\sin b=\dfrac{3\sqrt{35}-2}{20}[/tex]
and
[tex]\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=-\dfrac{2\sqrt{15}+\sqrt{21}}{3\sqrt{35}-2}[/tex]
Consider the function f(x) = 3x. Which statement MUST be true?
A)
f(3)
f(1)
=
f(6)
f(4)
B) f(3)·f(1) = f(6)·f(4)
C) f(3) − f(1) = f(6) − f(4)
D) f(3) − f(1) = f(−3) − f(−1)
After substituting values of x into the function f(x) = 3x, statement 'f(3) − f(1) = f(6) − f(4)' is found to be correct.
Explanation:In order to determine which statement is accurate, we need to substitute the values of x into the function f(x) = 3x and perform the correct operations.
Let's examine the options:
A) This does not include any operation, so this is not a valid statement.
B) f(3)·f(1) = 9*3 = 27; f(6)·f(4) = 18*12 = 216. So this is not true.
C) f(3) − f(1) = 9 - 3 =6; f(6) − f(4) = 18 - 12 = 6. This statement is true.
D) f(3) − f(1) = 9 - 3 = 6; f(-3) − f(-1) = -9 - (-3) = -6. So this is not true.
Therefore, the statement that must be true is 'f(3) − f(1) = f(6) − f(4)'.
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Considering the function f(x) = 3x the correct Option is C: f(3) − f(1) = f(6) − f(4) .
Let's analyze each statement for the function f(x) = 3x to determine which one is true:
A) f(3)/f(1) = f(6)/f(4):
This statement suggests a proportional relationship. Computing the values, we get f(3) = 9, f(1) = 3, f(6) = 18, and f(4) = 12. Therefore, f(3)/f(1) = 9/3 = 3 and f(6)/f(4) = 18/12 = 1.5, so the statement is not true.B) f(3)·f(1) = f(6)·f(4):
This statement suggests a multiplicative relationship. Using the same computed values, f(3)·f(1) = 9·3 = 27 and f(6)·f(4) = 18·12 = 216, so this statement is not true.C) f(3) − f(1) = f(6) − f(4):
This implies an additive relationship. Using the computed values, f(3) − f(1) = 9 − 3 = 6 and f(6) − f(4) = 18 − 12 = 6. Both sides are equal, so this statement is true.D) f(3) − f(1) = f(−3) − f(−1):
This implies another additive relationship, but with negative inputs. Computing these values, f(−3) = −9 and f(−1) = −3, then f(3) − f(1) = 9 − 3 = 6 and f(−3) − f(−1) = −9 − (-3) = −6. Therefore, this statement is not true.Therefore, the correct answer is C.
What is the quotient of -8x^6/4x^-3?
Answer: [tex]-2x^{9}[/tex]
Step-by-step explanation:
To find the quotient, you need to apply the Quotient of powers property. This is:
[tex]\frac{a^m}{a^n}=a^{(m-n)[/tex]
Then given the expression [tex]\frac{-8x^6}{4x^{-3}}[/tex] you can apply the property mentioned before. Then you get:
[tex]\frac{-8x^{(6-(-3))}}{4}[/tex]
You should remember the multiplication of signs:
[tex](-)(-)=+\\(+)(+)=+\\(-)(+)=-[/tex]
Therefore, simplifying the expression, you get that the quotient of [tex]\frac{-8x^6}{4x^{-3}}[/tex] is:
[tex]-2x^{9}[/tex]
Answer:
d
Step-by-step explanation:
d
Belize is a small country in Central America. The
southern portion of the country receives an average
of 200 inches of rain per year. The northern portion
of the country averages 30% of this total. What is
the average yearly rainfall in the northern part of
Belize to the nearest inch?
a. 60
b. 20
c. 140
d. 40
Answer:
60 inches
Step-by-step explanation:
30% of 200 inches = 200 inches * 30%
30% = 0.3
Substitute: 200 inches * 0.3
Multiply: 60 inches
What is the measure of angle C
Answer:
C = 77°
Step-by-step explanation:
From the intercepted arc theorem, we can say that Angle ABC (angle B) is HALF of the arc intercepted (which is 110).
Hence, angle ABC = 55.
Now, looking at triangle ABC, we know that sum of 3 angles of a triangle is 180. We already know Angle A to be 48 and Angle B to be 55, thus Angle C is:
A + B + C = 180
48 + 55 + C = 180
103 + C = 180
C = 180 - 103
C = 77
Please help!
Find the exact circumference of the circle.
The answer will be B
letter B is the answer
Are cubic millimeters bigger than cubic inches
No. Inches are longer than millimeters
False, it is the other way around. You can think of cubic measurements just like regular ones. Cubic inches are larger than cubic millimeters just like inches are bigger than millimeters.
The manager of an online news service received the report given in the table on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be half the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?
table:
2012: 5,600
2013: 5,880
Answer:
= 5880 +
= 5880 + (0.10 × 5880)
= 5880 + 588
= 6,468
In 2014 subscriptions would be sold 6,468.
Step-by-step explanation:
1,003,498 word form
Please my
one million - three thousand - four hundred - ninety eight
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Wood fencing is sold in 8 foot sections for $111.50. Chain link fencing costs $9.75 per linear foot (in whole foot lengths). And, vinyl fencing can be purchased for $53.55 per linear yard (in whole yard lengths).
Which neighbor's fencing project will cost the most?
Which neighbor's fencing project will cost the least?
Answer:
- The neighbor's fencing project that will cost the most is: Neighbor A.
- The neighbor's fencing project that will cost the least is: Neighbor B.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
[tex]Fence_A=5yards+8yards+25yards+8yards\\Fence_A=46yards[/tex]
Convert yards to feet (Remember that [tex]1yard=3feet[/tex]:
[tex]Fence_A=(46yards)(\frac{3feet}{1yard})=138feet[/tex]
You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:
[tex]sections=\frac{138feet}{8feet}=17.25[/tex]≈18
Then, the cost for this fencing project will be:
[tex]Cost_A=\frac{(18sections)(\$111.50)}{1section}=\$2,007[/tex]
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
[tex]C=2\pi r[/tex]
Where r is the radius.
In this case, the radius is:
[tex]r=\frac{30feet+10feet}{2}=20feet[/tex]
Substituting, you get:
[tex]C=Fence_B=2\pi (20feet)=125.66feet[/tex]≈126 feet
You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:
[tex]Cost_B=(126)(\$9.75)=\$1,228.5[/tex]
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
[tex]Fence_C=16feet+58feet+16feet\\Fence_C=90feet[/tex]
Convert from feet to yards (Remember that [tex]1yard=3feet[/tex]:
[tex]Fence_A=(90feet)(\frac{1yard}{3feet})=30yards[/tex]
You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:
[tex]Cost_C=(30)(\$53.55)=\$1,606.5[/tex]
Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.
The neighbor's fencing project that will cost the least is: Neighbor B.
Answer:
Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.
The neighbor's fencing project that will cost the least is: Neighbor B.
Step-by-step explanation:
There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the probability of picking a red
Answer:
8/24=1/3
There are 24 balls in total and 8 of them are red. So you get 8/24 but you need to simplify it to its simplest form which is 1/3
Final answer:
The probability of picking a red ball from a container with 5 white, 8 red, 7 yellow, and 4 green balls is 1/3, because you divide the number of red balls (8) by the total number of balls (24).
Explanation:
The subject of this question is probability, a branch of mathematics concerned with the likelihood of an event occurring. To find the probability of picking a red ball, we need to divide the number of red balls by the total number of balls in the container.
In the question, there are 5 white balls, 8 red balls, 7 yellow balls, and 4 green balls, which means there are a total of 24 balls. The probability of picking a red ball is calculated by taking the number of red balls and dividing it by the total number of balls:
Probability of picking a red ball = Number of red balls / Total number of balls = 8 / 24 = 1/3.
what is the perimeter of a hexagon with an apothem of 10
Assuming that said hexagon is regular then triangles formed (split in half by the apothem) are 30-60-90 triangles. The side that you'd get would be 10√3/3. Multiplied by two, you'd get 20√3/3. The perimeter would be 120√3/3, which would be 40√3 as the answer.
The perimeter of the hexagon is 40√3 if the apothem is 10 after applying tan ratio.
What is hexagon?A hexagon is a six-sided polygon with six inner angles totalling 720° and six outside angles totalling 360° in geometry. Regular, irregular, concave, convex, and complicated hexagons are two-dimensional shapes.
From the figure, we can calculate the side length of the hexagon:
We know each interior angle of the hexagons = 120 degree
Half of the angle = 120/2 = 60 degree
From the tan ratio:
tan30 = (s/2)/10
1/√3 = s/20
s = 20/√3
Perimeter = 6×(20/√3) = 120/√3 = 40√3
Thus, the perimeter of the hexagon is 40√3 if the apothem is 10 after applying tan ratio.
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This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
a. 48mm
B. 64mm
c. 112mm
d. 384mm
B:64————————bc 8x8 is 64
Answer:it’s D
Step-by-step explanation:
pls help i need to finish all my khan academy work or else i fail my grade, plsssss help
Answer:
Start by dividing things up so that you know them. Use the dotted line to make a square a 2 triangles. Base and height for the square is 4 so that total is 16. Then the triangles have a base an height of 4 as well so that ((4•4)/2)= 8. Then add them together = 24
Hope this helps.
Answer:
Step-by-step explanation:
For questions 18-20 determine if line segment AB and line segment CD are parallel, perpendicular or neither
Answer:
Part 18) Lines AB and CD are perpendicular
Part 19) Lines AB and CD are parallel
Part 20) Lines AB and CD are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal each other (the product of their slopes is equal to -1)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Part 18) we have
[tex]A(-4,3),B(2,-12),C(10,5).D(0,1)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-12-3}{2+4}[/tex]
[tex]m=-\frac{15}{6}[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{1-5}{0-10}[/tex]
[tex]m=\frac{4}{10}[/tex]
[tex]m=\frac{2}{5}[/tex]
step 3
Compare the slopes
[tex]-\frac{15}{6} \neq \frac{2}{5}[/tex] ----> the lines are not parallel
[tex]-\frac{15}{6}*\frac{2}{5}=-1[/tex] ----> the lines are perpendicular
Part 19) we have
[tex]A(2,3),B(8,-15),C(-2,2).D(-5,11)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-15-3}{8-2}[/tex]
[tex]m=-\frac{18}{6}=-3[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{11-2}{-5+2}[/tex]
[tex]m=-\frac{9}{3}=-3[/tex]
step 3
Compare the slopes
[tex]-3=-3[/tex] ----> the lines are parallel
Part 20) we have
[tex]A(5,6),B(-1,6),C(-2,-7).D(-2,-4)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{6-6}{-1-5}[/tex]
[tex]m=\frac{0}{-6}=0[/tex] ----> is a horizontal line parallel to the x-axis
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{-4+7}{-2+2}[/tex]
[tex]m=\frac{3}{0}[/tex] -----> is undefined (is a vertical line, parallel to the y-axis)
step 3
Compare the slopes
The lines are perpendicular (because the x-axis and the y-axis are perpendicular)
The classification of line segments AB and CD as parallel, perpendicular, or neither depends on the slopes of the lines. If the slopes are equal, the segments are parallel; if the slopes are negative reciprocals, the segments are perpendicular. Without specific locations or further details for these segments, a definitive determination can't be made.
Explanation:In order to determine if line segment AB and line segment CD are parallel, perpendicular, or neither, we must consider the slope they form when plotted on a Cartesian plane. If they have the same slope, they are parallel. If the slopes are negative reciprocals of each other, they are perpendicular. If neither of these are the case, then they are neither parallel nor perpendicular.
For example, consider line segment AB located at points A (1, 3) and B (3, 7), and line segment CD located at points C (2, 4) and D (4, 8). The slope of AB (m1) can be calculated as (7-3) / (3-1) = 2 and the slope of CD (m2) as (8-4) / (4-2) = 2. Since m1 = m2, AB is parallel to CD.
While this provides a basic approach, without specific values or further information about AB and CD, a definitive classification cannot be made.
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AB has endpoints at (-1, -1) and (-2, -4). Its transformation A'B' has endpoints at (-2, -2) and (-4, -8). What type of transformation occurred? Are lengths of segments affected by this
A) rotation; no; The lengths of the two segments are the same.
B) reflection; yes; The length of segment A'B' is longer than the original segment AB.
C) dilation by a scale factor of 2; yes; The length of segment A'B' is longer than the original segment AB.
D) dilation by a scale factor of 1/2; The length of segment A'B' is shorter than the original segment AB.
type of transformation? Justify.
will mark brainliest if correct and give 50 pts.
The correct answer is C
g(t)=−9t−4
g ( ? ) = 23
Answer:
g(- 3) = 23
Step-by-step explanation:
We require to find the value of t so that g(t) = 23
Equate g(t) to 23 and solve for t, that is
- 9t - 4 = 23 ( add 4 to both sides )
- 9t = 27 ( divide both sides by - 9 )
t = - 3
Hence g(- 3) = 23
If the value of the function g(t) = -9t - 4 is 23. Then the value of t will be negative three.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The function g(t) is given below.
g(t) = - 9t - 4
If the value of the function g(t) is 23. Then the value of t will be given as
23 = - 9t - 4
27 = - 9t
t = - 3
Then the value of t will be negative 3.
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Please help
A septic tank in the shape of a rectangular prism must hold a volume of 234 cubic feet. If the width of the tank is 4.5 feet and the length is 8 feet, what is the height of the tank?
Final answer:
The height of the septic tank is 6.5 feet.
Explanation:
To find the height of the septic tank, we need to use the formula for the volume of a rectangular prism, which is length x width x height.
Given that the volume of the tank is 234 cubic feet, the width is 4.5 feet, and the length is 8 feet, we can substitute these values into the formula and solve for the height:
234 = 8 x 4.5 x height
Dividing both sides of the equation by 36, we get:
6.5 = height
Therefore, the height of the tank is 6.5 feet.
If the determinant of this matrix is -19, what is the value of a?
A.
3
B.
4
C.
5
D.
6
Answer:
C)5
Step-by-step explanation:
For a 3x3 matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
determinent is given by = = a(ei − fh) − b(di − fg) + c(dh − eg)
Given Matrix
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinent of matrix= -6((-3)(-3) − (4)(4)) − 7(a(-3) − (4)(-6)) + 1(a(4) − (-3)(-6))
-19= -6(9-16) - 7(-3a+24) +4a-18
125= 25a
125/25= 25a/25
a= 5 !
Answer:
a = 5
Step-by-step explanation:
We are given 3 x 3 matrix and the determinant of the matrix is -19.
We need find the value of "a" in the given matrix.
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinant (D) = -6[(-3)(-3) − (4)(4)] − 7[a(-3) − (4)(-6)] + 1[a(4) − (-3)(-6)]
-19 = -6[9 - 16] -7[-3a +24] +1[4a - 18]
-19 = -6[-7] +21a - 168 + 4a - 18
-19 = 42 + 21a -168 + 4a - 18
Simplify the like terms, we get
-19 = 25a - 144
25a = -144 + 19
25a = 125
Dividing both sides by 25, we get
a = [tex]\frac{125}{25}[/tex]
a = 5
So the value of a is 5.
How do you solve to get y?
Answer:
y = 64
Step-by-step explanation:
Using the rule of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{y}[/tex] 4 = [tex]\frac{1}3}[/tex], then
4 = [tex]y^{\frac{1}{3} }[/tex]
Cube both sides
4³ = ([tex]y^{\frac{1}{3} }[/tex])³, hence
y = 64
Will mark brainliest if you show ur work
How many solutions does the equation 6z − 3z − 7 = −2 + 3 have?
Two
None
Infinitely many
One
Answer:
[tex]\boxed{\bold{One \ Solution}}[/tex]
Step-by-step explanation:
Solve equation to find answer(s)Combine: 6z - 3z = 3z
[tex]\bold{3z-7=-2+3}[/tex]
Add: -2 + 3 = 1
[tex]\bold{3z-7=1}[/tex]
Add 7 to both sides:
[tex]\bold{3z-7+7=1+7}[/tex]
Simplify:
[tex]\bold{3z=8}[/tex]
Divide both sides by 3:
[tex]\bold{\frac{3z}{3}=\frac{8}{3}}[/tex]
Simplify:
[tex]\bold{z=\frac{8}{3}}[/tex]
- M -
student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at last game which system of equations can be used to solve for the number of each kind of ticket sold
Answer:
85 student tickets and 35 adult tickets were sold.
Step-by-step explanation:
Howdy!
We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.
So:
$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.
Given that 120 tickets were sold in total, we have that:
A + B = 120
So the system of equations to be solved is the following:
$12×A + $20×B = $1,720 (1)
A + B = 120 (2)
Solving for 'A' in equation (2) we get:
A = 120 - B
Substituting this value into equation (1) we get:
$12×(120 - B) + $20×B = $1,720
Solving for 'B' we have:
$12×(120 - B) + $20×B = $1,720
$1,440 - $12×B + $20×B = $1,720
$1,440 + $8×B = $1,720
$8×B = $1,720 - $1,440
$8×B = $280
B = 35 tickets.
Given that B = 35, then A = 120 - 35 = 85 tickets.
So 85 student tickets and 35 adult tickets were sold.
Answer:
Students=85
Adults=35
Step-by-step explanation:
-12s-20a=-1720
20k+20a=2400
8k=680
k=85
85+a=120
a=35
In the given right triangle, find the missing length.
27 m
25 m
26 m
28 m
Answer:
26m
Step-by-step explanation:
a^2+b^2=c^2
24^2+10^2=c^
576+100=c^2
676=c^2
√676=√c^2
26=c
What is the answer??????
Answer:
D. G(x) = (x + 3)²Step-by-step explanation:
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==========================================
From the graph:
G(x) - the graph F(x) has been shifted 3 units to the left (look at the vertex).
Therefore your answer is G(x) = F(x + 3) = (x + 3)²
The answer is D. D is the answer
-5y = -5
7x + 6y = 7
Is (5,1) a solution of the system?
Choose 1 answer.
A. Yes
B. No
-5y = -5 = 1
7x + 6y = 7
=-1.167
your answer is B) no
The given coordinate (5,1) is not a solution to the system of equations -5y = -5 and 7x + 6y = 7. Both equations do not hold true when 5 and 1 are substituted for y and x respectively.
Explanation:In Mathematics, to confirm if the given set of numbers ((5,1)) are a solution to the system, we substitute these values back into both system equations. In this case, 5 for y and 1 for x. As a result, the equation -5y = -5 becomes -5*5= -25, which is not equal to -5. Therefore, 5 is not a solution for y. Similarly, solving 7x + 6y = 7 after substituting the values becomes 7*1 + 6*5= 37, which is not equal to 7. So, 1 is not a solution for x. Therefore, the provided answer (5,1) is not a solution for the given system of equations. Thus, the answer is B. No.
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Help please
With y=2x-4
Answer: 8, 0, -12
1. This is the equation of a line y=mx +b. All you have to do it substitute your x values into the x in the equation.
y=2(6)-4
y=8
y=2(2)-4
y=0
y=2(-4)-4
y=-12
Just plug in the values for what you are given, you plug in the value for x and solve for y.
For this case we have a function of the form [tex]y = f (x)[/tex]
Where [tex]f (x) = 2x-4[/tex]
We must find the values of "and" when:
[tex]x = 6\\y = 2 (6) -4\\y = 12-4\\y = 8[/tex][tex]x = 2\\y = 2 (2) -4\\y = 4-4\\y = 0[/tex][tex]x = -4\\y = 2 (-4) -4\\y = -8-4\\y = -12[/tex]ANswer:
8,0, -12
Option C
The Bulldogs, a baseball team, has nine starting players. The heights of the starting players are 72 in., 71 in ., 78 in., 70 in., 72 in., 72 in., 73 in., 70 in., and 72 in. Which term BEST describes the data value 78 in.?
A) mean
B) median
C) mode
D) outlier
By looking at this data, you can see that while most of the data is in between 70 and 73, the only number that isn't in that range is 78. Therefore, the term outlier describes 78in the best.
Answer:
D) Outlier
Step-by-step explanation:
Dan solves 6p=5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?
Answer:
Both the addition property of equality and the additive identity property
Step-by-step explanation:
we know that
The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true
The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back
we have
[tex]6p=5-3p[/tex]
step 1
Applying the addition property of equality adds 3p both sides
[tex]6p+3p=5-3p+3p[/tex]
step 2
Applying the additive identity property
[tex]6p+3p=5+0[/tex]
step 3
[tex]9p=5[/tex]
step 4
[tex]p=5/9[/tex]
Answer:
Both the Addition Property of Equality and the Additive Identity Property
Step-by-step explanation:
This is Because we know the The Addition Property of Equality means or defines If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. So that would show or represent the Step 1
And for Step two it is The Additive Identity Property because we know that defines : an identity element (such as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added.
This is why the correct answer is.... "Both the Addition Property of Equality and the Additive Identity Property"
Need help anyone please ?
ok well in this specific example you are multiplying by 1000 so the answer or you are moving the decimal to the right 3 places so the answer is 3240
Use the model below to calculate 9 ÷ 1 3 please help.
9/3
3/9
13 1/2
27
Answer:
Step-by-step explanation:
c i think
Answer:
D
Step-by-step explanation:
Calculate
9 Divided by 1/3 =
27 so your answer should be D.
I did the Test Btw!
There are four steps for converting the equation x^2+y^2+12x+2y-1=0 into standard form by completing the square. Complete the last step.
Answer:
(x + 6)² + (y + 1)² = 36 + 1 + 1
Step-by-step explanation:
using the steps given, we are left with:
x² + 12x + 36 + y² + 2x + 1 = 38
we can factor each term in parentheses:
(x² + 12x + 36) + (y² + 2x + 1) = 36 + 1 + 1
lets start with x² + 12x + 36. we factor by finding 2 numbers that add up to 12 and when multiplied together get 36. the answer is 6. so we can factor:
(x + 6)²
next we factor y² + 2x + 1. the same rules apply, and this number would be 1.
(y + 1)²
we have the following:
(x + 6)² + (y + 1)² = 36 + 1 + 1
to simplify the right side, we add the terms, then square it as well to find the radius of the circle, in which the formula is (x - h)² + (y - k)² = r²
(x + 6)² + (y + 1)² = 38²
(x + 6)² + (y + 1)² = 1444
(x + 6)² + (y + 1)² = √1444
(x + 6)² + (y + 1)² = 38
this is the final form