Answer:
(- 25, 81) does not lie on the line
Step-by-step explanation:
We can use the slope m to determine if (- 25, 81) lies on the line or not
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 0)
m = [tex]\frac{0-4}{2-0}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
now if (- 25, 81) lies on the line then the slope between (- 25, 81) and either of the 2 points on the line should equal - 2
(x₁, y₁ ) = (- 25, 81) and (x₂, y₂ ) = (2, 0)
m = [tex]\frac{0-81}{2+25}[/tex] = [tex]\frac{-81}{27}[/tex] = - 3
The slopes are not equal hence (-25, 81) does not lie on the line
[tex]\text{Step 1:}\\\\\text{Find the equation of the line passing through the points}\\\\\text{The slope-intercept form:}\ y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b).\\\\\text{We have the points:}\\(0,\ 4)-y-intercept\to b=4\\(2,\ 0)-x-intercept\\\\\text{Therefore we have the equation:}\ y=mx+4.\\\\\text{The formula of a slope}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{put the coordinates of the points:}\\\\m=\dfrac{0-4}{2-0}=\dfrac{-4}{2}=-2\\\\\text{Therefore we have}\ \boxed{y=-2x+4}[/tex]
[tex]\text{Step 2:}\\\\\text{Put the coordinates of the point (-25, 81) to the equation of a line}\\\text{and check equality}\\\\y=-2x+4,\ x=-25,\ y=81\\\\-2x+4\to-2(-25)+4=50+4=54\neq81[/tex]
Answer: The point does not lie on a line.Which of the following is a trinomial?
A) c2 + c + 6
B) c2 − 16
C) −8c
D) c3 + 4c2 − 12c + 7
Answer:
[tex]A) c^2 + c + 6[/tex]
Step-by-step explanation:
We have been given four choices out of which we need to select the choice which is trinomial.
Trinomial means polynomial having three terms.
A) c2 + c + 6
It has 3 terms.
B) c2 − 16
It has 2 terms.
C) −8c
It has 1 term.
D) c3 + 4c2 − 12c + 7
It has 4 terms.
We see that only choice A) has three terms.
Hence correct choice is [tex]A) c^2 + c + 6[/tex]
Solve the system of equations by the substitution method. Then use the solution to evaluate the expression 2x(−3+y).
6x+2y+1=13+10y−x
5x=y+26−2x
The value of the expression is....
[tex]\left\{\begin{array}{ccc}6x+2y+1=13+10y-x\\5x=y+26-2x\end{array}\right\\\\\left\{\begin{array}{ccc}6x+x+2y-10y=13-1\\5x+2x-26=y\end{array}\right\\\left\{\begin{array}{ccc}7x-8y=12&(**)\\y=7x-26&(*)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**)\\\\7x-8(7x-26)=12\\7x-(8)(7x)-(8)(-26)=12\\7x-56x+208=12\\-49x=12-208\\-49x=-196\qquad\text{divide both sides by (-49)}\\\boxed{x=4}\\\\\text{put the value of x to}\ (*)\\\\y=7(4)-26\\y=28-26\\\boxed{y=2}\\\\\boxed{x=4\ and\ y=2}[/tex]
[tex]\text{Put the values of x and y to the expression}\ 2x(-3+y):\\\\2(4)(-3+2)=8(-1)=-8\\\\Answer:\ \boxed{\text{The valuie of the expression is -8}}[/tex]
SOS!!! thank u so much im struggling real hard over here
Answer:
I was able to do 6-8 but 9 I got stumped on as well.
Step-by-step explanation:
What three numbers multiply to equal 240
Answer:
8,3, and 10 or 6,4, 10, or 12, 2, and 10
Step-by-step explanation:
You just multiply each of the 3 numbers to equal 240
There are plenty of triples of numbers (x,y,x) that satisfy x*y*z = 240. Some integer candidates include (1,1,240), (1,2,120), (2,5,24), (3,5,16), (4,6,10) and many more. If you don’t restrict your attention to integers, there are even more candidates.
Hope This Helps!!!
-Austint1414
4z
27
+x5
y14
If x, y and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)?
By analyzing the equation and using provided options, we find that the right values for the digits x, y, and z are 1, 2, and 3 respectively. When multiplied together, the product (x)(y)(z) equals 6.
Explanation:The mathematical problem you've presented is akin to a simple addition of numbers, but with a twist: the digits x, y, and z each represent different unknown digits. Our task is to determine the value of the product (x)(y)(z) given the vertical addition:
4zLooking at the addition, we can see that when we add the second digit of the second row (2) with the first digit of the third row (x), the result must be a digit with a 1 carried over because there is a 1 in the hundred's place of the result. That means 2 + x has to be equal to 10 or 11 (since x is a digit, the highest value for x could be 9).
Using the option provided (d) x. 1, y. 2, z. 3, we can see that the column with z's would sum to 7 (4z), the column with x's would sum to 11 (since 1 + x = 11, x = 1), and the column with y's would sum to 14 (since y would then be 2) which fits the pattern of the problem provided. Therefore, the values for x, y, and z are 1, 2, and 3 respectively.
The value of (x)(y)(z) is thus 1 × 2 × 3 = 6.
Final answer:
To find the value of (x)(y)(z), we need to solve the equation 4z/27 + x5/y14 = 0. By substituting different values for x, y, and z, we find that (x)(y)(z) = 6.
Explanation:
To find the value of (x)(y)(z), we need to solve the given equation:
4z/27 + x5/y14 = 0
Since x, y, and z each represent a different digit from 0 to 9, we can try different values to solve for (x)(y)(z).
Let's start with the first term: 4z/27. The only possible value for z is 2, because 4z/27 must give us a rational number. So, let's substitute z = 2 into the equation:
4(2)/27 + x5/y14 = 0
8/27 + x5/y14 = 0
Next, let's solve for the second term: x5/y14. To make this term equal to 0, we can set x = 1 and y = 3. Substituting these values into the equation:
8/27 + 15/314 = 0
Now, let's find the value of (x)(y)(z) = (1)(3)(2) = 6.
Alisa uses 3/4 of a gallon of paint to paint her room better uses for 50 gallon more than Alecia to paint her room how many gallons of paint do they use together
Answer:
51.5 gallons.
Step-by-step explanation:
Given that amount of gallons of paint used by Alisa [tex]=\frac{3}{4}[/tex]
Given that amount of gallons of paint used by Better [tex]=50+\frac{3}{4}[/tex]
Now we need to find about how many gallons of paint do they use together. To find that we just need to amount of gallons used by both.
[tex]\frac{3}{4}+50+\frac{3}{4}[/tex]
[tex]=\frac{3}{4}+\frac{3}{4}+50[/tex]
[tex]=\frac{6}{4}+50[/tex]
[tex]=1.5+50[/tex]
[tex]=51.5[/tex]
Hence final answer is 51.5 gallons.
how do you calculate circumference from area
use the formula of a circle or pi times radius r squared = Area then use the formula for the circumfrence of a circle which is two times pi time radius r = circumfrence then isolate r in the formula (for area)
sqrt(A/pi) then multiply the raduis r by 2*pi to get the circumference
C = 2*pi*sqrt(A/pi)
Answer:
See below
Step-by-step explanation:
Given the area A you can find the radius of a circle.
A = πr^2
so r^2 = A / π
and r = the positive square root of A/π.
Having found the radius r you can calculate the circumference C using
C = 2πr.
multiply
your answer should be in a monomial standard form
(7h^3)(3h^7)
Answer:
21 h^10
Step-by-step explanation:
(7h^3)(3h^7)
Lets multiply
7*3 h^3 h^7
When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)
21 h^(3+7)
21 h^10
[tex]Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}[/tex]
can anyone help me with number 10??
Answer:
y=−4/3x+10
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to 3x−4y=−2.
A grocer can buy strawberries for $1.38 per pound. write an equation relating c, the cost, and p, the pounds of strawberries.
Answer:
1.38p=C
Step-by-step explanation:
each pound is $1.38 and pounds is p they have to equal to C, the total.
choose the equation of the horizontal line that passes through the point (-2,-1)
A) y= -1
B) y= -2
C) x= -2
D) x= -1
Answer:
y =-1
Step-by-step explanation:
We are given a point (-2,-1)
Also given that a horizontal line passes through the above point.
We have to find the equation of the horizontal line.
We know that any straight line in xy plane is of the form
y = mx+b where m=slope of line and b = y intercept.
Here given that the line is horizontal and hence the angle it makes with x axis is 0.
Slope of line= m = tan 0 =0
Hence equation of line using point slope form is
y-y1 = m(x-x1) . Here m =0 and (x1,y1) = (-2,-1)
Hence equaiton of line is
y+1 =0(x+2)
Or y =-1
So option A is right answer.
DIstributive property to match equivalent expression 7(-4-x)
Answer:
-28-7x
Step-by-step explanation:
You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x
Solve for x: 2x − 2 > 4x + 6.
x < −4
x > −4
x < 4
x > 4
Answer:
The answer is the first choice, x < −4.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−2>4x+6
Step 1: Subtract 4x from both sides.
2x−2−4x>4x+6−4x
−2x−2>6
Step 2: Add 2 to both sides.
−2x−2+2>6+2
−2x>8
Step 3: Divide both sides by -2.
x<−4
Answer:
<-4
Step-by-step explanation:
took tye test
A company is testing and comparing two lightbulb designs. The box plots show the number of hours that each lightbulb design lasts before burning out. Which statement is best supported by the information in the plots?
Answer:
Design B bulbs will likely last longer than design A bulbs
Step-by-step explanation:
The B box part spans higher numbers than the A box and the median of B bulbs is higher than median of the A bulbs.
Answer:
Design B bulb will likely last longer than design A bulbs
Step-by-step explanation:
Got it right on IM
PLEASE help with number 5!!
Answer:
5/12
Step-by-step explanation:
1. Convert 1/4 to 3/12, then convert 1/3 to 4/12
2. Then add 3/12 and 4/12 together, which would be 7/12
3. Then subtract 12/12 by 7/12 which would be 5/12
So, 5/12 is your answer.
Hope this helps
Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week. How should Mark divide his spinner to best simulate the situation?
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Mark should divide the spinner in 20 equal sized sections.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces.
Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead.
This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1.
If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then, a spinner with 20 sections is still a lot.
It is better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Hence he should divide the spinner in 20 equal sized sections.
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help me solve for the right triangle
Answers:
B = 50
a = 10.9
c = 17.0
================================================
Explanation:
This is a right triangle, so the acute angles are complementary, meaning they add to 90
B+40 = 90
B+40-40 = 90-40
B = 50
Also, because this is a right triangle, we can use trig ratios to compute the missing sides
tan(angle) = opposite/adjacent
tan(40) = a/13
a = 13*tan(40)
a = 10.908
a = 10.9
cos(angle) = adjacent/hypotenuse
cos(40) = 13/c
c*cos(40) = 13
c = 13/cos(40)
c = 17.0
note: make sure your calculator is in degree mode
A theater club so 300 tickets for school play
On the first day 60% of the 300 tickets were sold. how many tickets were sold the first day ?
Answer:
180
Step-by-step explanation:
Simply multiply 300 by 60% or 300x0.60=180
Answer:
180 tickets sold the first day
Step-by-step explanation:
To find out how many tickets were sold the first day, we multiply the percent by the total number of tickets
tickets sold the first day = .60 * 300
= 180
Solve by elimination. 3x+7y=48 5x-7y=-32
3x + 7y = 48
5x - 7y =-32
8x = 16
x = 2
3(2) +7y = 48
7y = 42
y = 6
What number completes the following sequence
48, 24, 12, 6
Answer:
3
Step-by-step explanation:
48 - 24 = 24
24 - 12 = 12
12 - 6 = 6
6 - 3 = 3
Thats the pattern
Plzzz mark brainlest and thank me
find the perimeter and area of a right triangle with legs of 24 feet and 41.57 feet and a hypotenuse of 48 feet
Answer:
Perimeter≈113.57 and Area= A≈498.84
Step-by-step explanation:
Ok so the Perimeter is approximately 113.57. the formula of a perimeter of a right triangle is P=a+b+√a²+b²
so since a and b are the leg in the right riangle then the value we are gonna be working with are 24 and 41.57
so basically the equation states this: P=24+41.57+√24²+41.57²
so 24+41.57 is 65.57
24²=576 and 41.57²=1728.1(rounded) add that and you get 2304.1. the square root of 2304.1 is 48.00104166 or just 48. add that to 65.57 and you get 113.57
Now for area.
the area of right triangle is ab/2
so 24times 41.57 divided by 2
24 times 41.57= 997.68
divide that by 2 and you get 498.84
The perimeter of the triangle is 113.57 feet and its area is 498.84 square feet.
Explanation:The perimeter of a triangle is the sum of its sides: 24 feet + 41.57 feet + 48 feet = 113.57 feet. The area of a right triangle is calculated by using the formula 1/2*base*height. In this case the base is 24 feet and the height is 41.57 feet, so the area would be 1/2*24*41.57 = 498.84 square feet.
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Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:
Quadrilateral FGHI is shown on the coordinate plane with coordinates F at negative 6, negative 1. G at negative 1, negative 1. H at negative 2, negative 4. I negative 7, negative 4. Point A is at 3, 8 and point D is at 1, 2.
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(3, 8) and point D(1, 2), what is another point that could represent a corner of the trail?
a) (10, 8)
b)(6, 8)
c) (8, 8)
D) (13, 8)
Answer:
The correct option is D.
Step-by-step explanation:
From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.
Distance formula
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}[/tex]
[tex]AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}[/tex]
The scale factor is
[tex]\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2[/tex]
Therefore the length of sides of image is twice of preimage.
The vertices A and D are image of F and I respectively.
The length of FG is
[tex]FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5[/tex]
Therefore the length of AB is 10 units and length of CD is also 10 units.
The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).
The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).
Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.
Answer: D) (13, 8)
:)))
PLEASE HELPPP
In the system of equations, which variable would it be easiest to solve for?
2x+4y=26
3x+y=9
A.The easiest to solve for is x in the first equation.
B.The easiest to solve for is y in the first equation.
C.The easiest to solve for is x in the second equation.
D.The easiest to solve for is y in the second equation.
Select all that apply.
A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?
The point was reflected over the y -axis and translated up 4 units.
The point was translated right 10 units and reflected over the x -axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y -axis and translated down 4 units.
__________________________________________________
Point A , located at (-2, 4), is translated down 6 units. What are the coordinates of A '?
1. (-8, 4)
2. (-8, -2)
3. (-2, -2)
4. (-2, 4)
__________________________________________________
Point B , located at (-4, -7), is reflected over the y -axis. What are the coordinates of B '?
(-4, 7)
(4, -7)
(4, 7)
(-4, -7)
Answer:
The point was reflected over the y -axis and translated up 4 units.
The point was translated left 10 units and up 4 units.
_________________________________________________________
3. (-2,-2)
_________________________________________________________
B' = (4,-7)
Answer:
B and F
Step-by-step explanation:
How do you write n+-m in standard form
Answer:
n - m
Step-by-step explanation:
It will be written as n - m. Only 1 sign in the middle is needed to be written.
m - - n = m + n
m - + n = m - n
What pattern to you see in exercise 7?
ms. guerra picked 32 students to help her decorate her door. she picked 8 more girls than boys. what is the experimental probability of ms guerra picking a girl? express your answer as a fraction in simplest form.
Answer:
5/8
Step-by-step explanation:
First we need to figure out how many girls and boys there are.
g = girls
b = boys
g = b+8 ( eight more girls than boys)
b = g-8
There are 32 students)
g+b =32
Substitute b = g-8 into the equation
g + (g-8) = 32
Combine like terms.
2g-8 = 32
Add 8 to each side.
2g -8+8 = 32+ 8
2g = 40
Divide by 2
g = 20
There are 20 girls
The experimental probability of picking a girl is
girls/ total
20/32 = 5/8
Apply the distributive property to factor out the greatest common factor.
75+20=
Answer:
5(15+4)
Step-by-step explanation:
The greatest common factor is the greatest number that will divide two values. We have two values 75 and 20. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:
75: 1,3,5,15,25, 75
20: 1, 2, 4, 5, 10, 20
Both have 5 and this is the GCF. So we write the expression int he form 5(___+___). We divide each term by 5 to find the corresponding factor.
75/5= 15
20/5=4
5(15+4)
Answer:
5(15+4)
Step-by-step explanation:
5
15+
and (4)
add them all together.
(5 ×5×5)×-1= simplify
Answer: -125
Step-by-step explanation:
(5*5*5)*-1
(25*5) *-1
125 * -1
-125
Answer:
-125
Step-by-step explanation:
5*5*5 = 125
125*-1 = -125
A bag has six balls labeled
,
,
,
,
, and
.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing a letter from
to
.
If there is more than one element in the set, separate them with commas.
Sample space--
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from D to F.Then the sample space is:
Sample space= {D,E,F}
The sample space of a bag with balls labeled A to F is {A, B, C, D, E, F}. For the event of choosing a letter from A to E, the outcomes are {A, B, C, D, E}.
Explanation:To answer the student's question about the sample space and the event of choosing a letter from A to E, we must first understand the concept of sample space in probability. The sample space is the set of all possible outcomes of a probability experiment. In this case, since the bag contains six balls labeled A, B, C, D, E, and F, the sample space describing all possible outcomes is {A, B, C, D, E, F}.
Now, the event of choosing a letter from A to E simply means finding all the outcomes within the sample space that meet the criteria of being letter A, B, C, D, or E. Therefore, the outcomes for this event are {A, B, C, D, E}.
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