Let m = slope of the line
m = delta y divided by delta x
m = (4 - 2)/(0 - (-9))
m = 2/(0 + 9)
m = 2/9
The slope is 2/9.
Do you know what the answer really means?
Answer:
[tex]{\huge\boxed {\frac{2}{9}}}[/tex]
Step-by-step explanation:
Slope formula:
↓
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_2=4\\y_1=2\\x_2=0\\x_1=(-9)\\[/tex]
[tex]\frac{4-2}{0-(-9)}=\frac{2}{9}[/tex]
The slope of the line is 2/9.
2/9 is the correct answer.
I hope this helps you, and have a wonderful day!
A regular convex polygon has eight sides. What is the measure of an exterior angle?
Answer:
The measure of one exterior angle is 45 degrees.
Step-by-step explanation:
The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.
Answer:
Exterior angle = 45°
Step-by-step explanation:
We know that the sum of exterior angles of a polygon is 360 degrees.
Since here we a regular polygon with eight sides (which makes it an octagon) so this means that the interior angles each would be equal to:
[tex]\frac{(n - 2) \times 180}{n} \\ \frac{(8 - 2) \times 180}{8}\\ \frac{6 \times 180}{8} \\ \frac{1080}{8} [/tex] = 135 degrees
We know that each interior angle is supplementary to the exterior angle at the vertex.
So each exterior angle = [tex]180-135[/tex] = 45 degrees
If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?
Answer:
b² - 4ac = 0
Step-by-step explanation:
The nature of the roots of a quadratic equation are determined by the discriminant, that is
• If b² - 4ac > 0 then roots are real and distinct
• If b² - 4ac = 0 then roots are real and equal
• If b² - 4ac < 0 then roots are not real
x = - 3 indicates an equal root, hence b² - 4ac = 0
Please help I’m desperate for the answer
The domain is the input value of an equation/ graph, which is the X value.
The X value on a graph is the horizontal axis across the bottom.
The X-axis for this is the months, so the answer is The domain represents a 11-month period of flower production.
Solve: 62x - 3 = 6-2x+1
x = -1
x = 0
x = 1
x = 4
Answer: X=1 Is the answer on edge 2023 :)
Step-by-step explanation: X=1
To solve the equation 62x - 3 = 6 - 2x + 1x, combine like terms, add and subtract terms to isolate x, and simplify the solution.
Explanation:To solve the given equation, 62x - 3 = 6 - 2x + 1x:
Combine like terms: 63x - 3 = 6 - xAdd x to both sides: 63x + x - 3 = 6Combine like terms: 64x - 3 = 6Add 3 to both sides: 64x - 3 + 3 = 6 + 3Combine like terms: 64x = 9Divide both sides by 64: 64x / 64 = 9 / 64Simplify: x = 9 / 64Therefore, the solution to the equation is x = 9 / 64.
What is the slope and the y-intercept of the line on the graph below?
The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?
From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.
This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).
Now we can see that either C or D is the answer.
To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.
Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.
Answer: OPTION C
(c) slope = Negative one-fourth, y-intercept = 1
slope = -1/4, y -intercept =1
Step-by-step explanation:
find the total area for the regular pyramid
(please follow the answer set up in the picture)
Answer:
T.A. = 144 + 36√3
Step-by-step explanation:
The pyramid has a regular triangle for a base. The other three faces are isosceles triangles.
The height of base can be found by dividing it into two right triangles. We can either use properties of a 30-60-90 triangle, or use Pythagorean theorem.
h = 6√3
So the area of the base is:
A = 1/2 bh
A = 1/2 (12)(6√3)
A = 36√3
Similarly, the height of the three isosceles triangles can be found by dividing them into two right triangles and using Pythagorean theorem.
h = √(10² - 6²)
h = 8
So the area of the isosceles triangles is:
A = 1/2 bh
A = 1/2 (12)(8)
A = 48
So the total surface area of the pyramid is:
T.A. = 3(48) + 36√3
T.A. = 144 + 36√3
4(10x+2)-40x
Each step of the equation
Answer:
8
Step-by-step explanation:
We cannot solve this, since this is an expression, not an equation.
Lets simplify the expression
4(10x+2)-40x
Distribute the 4
40x +8 - 40x
8
Answer:
[tex]\displaystyle =8[/tex]
Step-by-step explanation:
Distributive property:
↓
A(B+C)=AB+AC
A=4, B=10x, and C=2
[tex]4*10x+4*2[/tex]
Simplify.
[tex]40x+4*2[/tex]
[tex]4*2=8[/tex]
[tex]40x+8[/tex]
[tex]40x+8-40x[/tex]
Group like terms
[tex]40x-40x+8[/tex]
Add numbers from left to right.
[tex]40x-40x=0[/tex]
[tex]\displaystyle 8[/tex], is the correct answer.
Hope this helps!
simplify ... 4xsquared x 4xsquared
Answer:
4X4=16
16X16=256
Step-by-step explanation:
Hi there! My name is Zalgo and I am here to provide you with your answer for today! So, 4x^2*4x^2 (4xSquared multiplied by 4xSquared) is quite simply. When you square a number, you are multiplying that number by itself (so, 4 times 4 equals 16). Once you have done that, you are left with 16 times 16. 16 multiplied by 16 is 256!
I hope that this answer helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! :3)
Which is f(5) for the function –2x2 + 2x - 3?
Answer:
f(x)=-13
Step-by-step explanation:
-2x2+2x-3
-2(5)*2+2(5)-3
-10*2+10-3
-20+7=-13
I hope this helps!
Answer:
The value of f(5) is -43
Step-by-step explanation:
[tex]f(x)=-2x^2 + 2x - 3[/tex]
To find f(5) we plug in 5 for x in the given equation f(x)
Replace all x by 5
[tex]f(x)=-2x^2 + 2x - 3[/tex]
[tex]f(5)=-2(5)^2 + 2(5) - 3[/tex]
[tex]f(5)=-2(25) + 10 - 3[/tex]
[tex]f(5)=-50+ 10- 3=-43[/tex]
The value of f(5) is -43
Which system below has no solution?
y = 4x and y = 2x - 3
y = -4x and y = 2x - 3
y = -4x and y = 2x + 3
y = -4-x and y = 2x - 3
it is multiple choice
The system of equations with y = -4x and y = 2x + 3 has no solution.
Explanation:The system of equations with y = -4x and y = 2x + 3 has no solution. To determine this, we can set the two equations equal to each other and solve for x:
-4x = 2x + 3
Adding 4x to both sides, we get:
0 = 6x + 3
Subtracting 3 from both sides, we get:
-3 = 6x
Dividing both sides by 6, we get:
-1/2 = x
Substituting x = -1/2 back into either equation will result in a false statement, indicating that the system has no solution.
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The measure of angle A is 15 degrees and the length of side BC is 8. What are the lengths of the other two sides, rounded to the nearest tenth?
Answer:
AB=30.9 AC=29.9
Step-by-step explanation:
Rest of the answer is in the picture.
Answer:
AC= 29.9
AB= 30.9
What is the product of -2x^3 + x - 5 and x^3 - 3x - 4 ? Show your work.
Is the product of x^3 - 3x - 4 and -2x^3 + x - 5 equal to the product of and ? Explain your answer.
For this case we must find the product of the following expressions:
[tex](-2x ^ 3 + x-5) (x ^ 3-3x-4)[/tex]
We apply distributive property, that is, we multiply term by term, taking into account that:
[tex]- * - = +\\- * + = -[/tex]
[tex]-2x ^ {3 + 3} + 6x^{3 + 1} + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]
If we multiply:
[tex](x ^ 3-3x-4) (- 2x ^ 3 + x-5)[/tex]
We will obtain the same result because we would be applying the commutative property of multiplication.
ANswer:
[tex]-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]
Answer:
2x^6+7x^4+3x^3-3x^2+11x+20
Step-by-step explanation:
.................. yw!! for nyone still wondering
enter the missing numbers in the boxes to complete the table of equivalent ratios
Time(min)
?
6
?
15
Distance(km)
6
18
24
?
Answer:
The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.
2/1.5=1.3
9/1.5=6
18/1.5=12
Hope this helps!
Step-by-step explanation:
Kris has 4 yards of ribbon. it takes 2/3 yard to wrap one package. How many packages can Kris wrap?
A.Kris can wrap 5 packages
B.Kris can wrap 4 Packages
C.Kris can wrap 6 packages
Answer:
C. 6 packages
Step-by-step explanation:
4 divided by 2/3
=>4x3/2=6
mark me as the brainliest plz
Given 4 yards of ribbon and each package requires 2/3 yard, Kris can wrap 6 packages.
Explanation:This question is about dividing total resources, in this case, ribbon, by the amount needed for each unit, in this case, a package. Kris has 4 yards of ribbon, and each package requires 2/3 yard of ribbon to wrap. To find out how many packages Kris can wrap, we need to do a division: total yards of ribbon ÷ yards of ribbon per package.
The equation for this would be: 4 ÷ 2/3. When we divide by a fraction, we multiply by its reciprocal. The reciprocal of 2/3 is 3/2, so we set up the equation like this: 4 x (3/2).
The answer to this equation is 6. Hence, Kris can wrap 6 packages with 4 yards of ribbon.
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What is the common ratio for this geometric sequence?
27, 9, 3, 1,...
Answers:
A. 1/3
B. 6
C. 1/6
D. 3
PLEASE HELPPPP!
Answer:
The common ratio is 1/3.
Step-by-step explanation:
Divide each term after the first by the previous one.
9/27 = 1/3
also 3/9 = 1/3 and 3 / 3 = 1/3.
Answer:
A. 1/3Step-by-step explanation:
[tex]\text{The common ratio of a geometric sequence}\ a_n:\\\\r=\dfrac{a_{n+1}}{a_n}\\\\\text{We divide next term by the previous one.}\\\\r=\dfrac{9}{27}=\dfrac{9:9}{27:9}=\dfrac{1}{3}\\\\r=\dfrac{3}{9}=\dfrac{3:3}{9:3}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}\\\vdots[/tex]
What is the missing reason in the proof?
Prove –(–y – x) – x = y
–(–y – x) – x = –[–y +(–x)] – x
Definition of subtraction
–[–y +(–x)] – x = y + x – x
Opposite of a sum property
y + x – x = y + x + (–x)
Definition of subtraction
y + x + (–x) = y + [x + (–x)]
Associative property of addition
y + [x + (–x)] = y + 0
Additive inverse property
y + 0 = y
(blank)
Answer options for (blank):
A. Symmetric Property
B. Additive Inverse Property
C. Additive Identity Property
D. Opposite of a Sum Property
Answer:
Option C is correct.
Step-by-step explanation:
The last step is y+0 =y
This represents additive identity property.
This property states if zero is added to any number we get the same number.i.e if 0 is added to y then we get y (y+0=y)
So, Option C is correct
Final answer:
The missing reason in the proof that demonstrates –(–y – x) – x equals y is the Additive Identity Property, which indicates adding zero to a number does not change its value.
Explanation:
The question refers to a series of algebraic manipulations with the aim of proving the equation –(–y – x) – x = y. The final step in the proof involves the simplification of y + 0 to y. The correct reason for this step is the Additive Identity Property, which states that adding zero to any number does not change the value of that number. Therefore, the missing reason in the proof is option C.
Which of the following is the coefficient in the algebraic expression 22y + z ?!
Answer:
22
Step-by-step explanation:
Answer:
22 is the coefficient.
Step-by-step explanation:
Because the coefficient is always beside the variable
For Ex: 10x
where x is your variable and 10 is your coefficient.
Hope my answer has helped you!
(20 Points)
Perform the indicated operations.
Answer:
5x-8/12y
Step-by-step explanation:
x+1
3y
+
x−2
4y
−(
x+3 /6y
=
30xy2−48y2
72y3
=
30x−48/72y
=
5x−8 /12y
If Alessandra had 392,396 school books, what is the square root of half of her school books?
Answer:
Step-by-step explanation:
She likely has more books than the Library of Congress.
First of all you have to take 1/2 the number
(1/2) 392,396 = 196198
sqrt(196198) = 443 rounded to the nearest whole number.
Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes
Answer:
0.6389
Step-by-step explanation:
This question is on a rectangle distribution
We apply; Area × probability
9× height = 1 unit square................find the height of the rectangle
h=1/9
The waiting time greater than 3.25 will be = 9-3.25= 5.75
P(time> 3.25 minutes) = 5.75 × 1/9 = 0.6389
the population of a city has increased by 15% since it was last measured. If the current population is 59.800, what was the previous population?
Answer:
about 50 000 i think sorry if this didnt hep
Step-by-step explanation:
To calculate the previous population before a 15% increase that resulted in a current population of 59,800, we use the formula: Previous Population = Current Population / (1 + Percentage Increase), which yields a previous population of approximately 52,000.
Explanation:The question pertains to determining what the previous population of a city was before it experienced an increase of 15%. Given that the current population is 59,800, we can calculate the previous population using the formula:
Current Population = Previous Population * (1 + Percentage Increase)
To find the Previous Population, we rearrange this formula:
Previous Population = Current Population / (1 + Percentage Increase)
By substituting in the given values:
Previous Population = 59,800 / (1 + 0.15)
Previous Population = 59,800 / 1.15
Previous Population = 52,000 (approximately)
Therefore, the previous population of the city was around 52,000 inhabitants before the 15% increase.
Which best explains why this triangle is or is not a right triangle?
Answer:
D
Step-by-step explanation:
Using the converse of Pythagoras
If the square of the longest side equals the sum of the squares on the other 2 sides then the triangle is right.
longest side = 39
39² = 1521
36² + 15² = 1296 + 225 = 1521
The triangle is right since 36² + 15² = 39²
Answer:
This triangle is a right triangle:36² + 15² = 39².Step-by-step explanation:
If a ≤ b <c is the length of the sides of a right triangle, then:
[tex]a^2+b^2=c^2[/tex]
We have
[tex]a=15\ in,\ b=36\ in,\ c=39\ in[/tex]
Check the equality:
[tex]L_s=15^2+36^2=225+1296=1521[/tex]
[tex]R_s=39^2=1521[/tex]
[tex]L_s=R_s[/tex]
It's a right triangle.
a jeweler cut a rhinestone in the shape of a rhombus. If one of the angles of the rhinestone measures 130 degrees, what is the measure of the consecutive angle, x?
A. 180 degrees
B. 130 degrees
C. 50 degrees
D. 90 degrees
The measure of the consecutive angle x is 50 degrees in the given rhinestone. The given angles are supplementary angles.
What are the properties of a rhombus?A rhombus shape has also been named a diamond. Its properties are as follows:
A rhombus has 4 equal length of sides.Its opposite sides are parallel.The diagonals bisect each other at right angles.The opposite angle are equal in measure.The adjacent angles are supplementary to each other i.e., their sum is 180 degrees.The Sum of all the angles in the rhombus is 360 degreesCalculating angle x:The measure of one of the angles = 130 degrees
The angle x is supplementary to the given angle. So, their sum is 180 degrees. I.e.,
130 + x = 180
⇒ x = 180 -130
⇒ x = 50°
Thus, the measure of the angle x is 50°.
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Can someone give me the answer because I’m clueless
Answer:
D
Step-by-step explanation:
In year 0, we have 6.
In year 1, we have 6(4)
In year 2, we have 6(4)(4) or 6(4)^2
The 4 is the repeated factored
The answer is D
Idk what the answer is help me or nah?????
Answer:
x = 13.0
Step-by-step explanation:
We are given the two legs of the right triangle.
We can use the Pythagorean theorem.
a^2 +b^2 = c^2
7^2 +11^2 = x^2
49+121 = x^2
170 = x^2
Take the square root of each side
sqrt(170) = sqrt(x^2)
13.038 = x
To the nearest tenth
13.0 =x
if f(x)= 5 ^ x + 2x and g(x)= 3x - 6, find (f+g)(x)
Answer:
(f+g)(x) is 5^x + 5x - 6
Step-by-step explanation:
To find (f + g)(x), we are merely adding up all the terms present in both
f(x)= 5^x + 2x and g(x)= 3x - 6. 5^x is unique and cannot be combined with any other term. 2x and 3x can be combined to obtain 5x. -6 is unique.
Thus, the sum (f+g)(x) is 5^x + 5x - 6.
Answer:
[tex]5^x+5x-6[/tex]
Step-by-step explanation:
[tex]f(x)=5^x + 2x[/tex]
[tex]g(x)= 3x - 6[/tex]
[tex](f+g)(x)[/tex]
[tex]f(x) + g(x)[/tex]
[tex]5^x+2x+3x-6[/tex]
[tex]5^x+5x-6[/tex]
Drag the tiles to the correct boxes to complete the pairs.
Using the properties of integer exponents, match each expression with the correct equivalent expression.
Answer:
1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4} \implies 2^{-32}[/tex]
2. [tex]2^4 . (2^2)^{-2} \implies 1[/tex]
3. [tex](-2^{-4}).(2^2)^0 \implies -2^8[/tex]
4. [tex](2^2).(2^3)^{-3} \implies 2^{-5}[/tex]
Step-by-step explanation:
1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4}[/tex] :
[tex] = \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}[/tex]
2. [tex] 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } [/tex] :
[tex]= 2^4 \times \frac{1}{2^4} = 1[/tex]
3. [tex](-2^{-4}).(2^2)^0[/tex] :
[tex]= (-2^4)^2 \times 1 = -2^8[/tex]
4. [tex](2^2).(2^3)^{-3}[/tex] :
[tex]= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}[/tex]
Answer:
The answer is 1-2 2-4 3-4 and 4-3
Step-by-step explanation:
simplify the polynomial by combining like terms
[tex]11x {}^{2} + 11x {}^{2} [/tex]
A.
[tex] - 12x {}^{2} [/tex]
B.
[tex]12x {}^{2} [/tex]
C.
[tex] - 24x {}^{2} [/tex]
D.
[tex]24x {}^{2} [/tex]
Answer:
22 x^2
Step-by-step explanation:
Simplify the following:
11 x^2 + 11 x^2
Hint: | Add like terms in 11 x^2 + 11 x^2.
11 x^2 + 11 x^2 = 22 x^2:
Answer: 22 x^2
none of your answers are correct.
13.5 is 15% of what number?
Answer:
90
Step-by-step explanation:
13.5/.15
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
15 is a percent and percent's are always taken out of the 100. This means that one proportion will have 15 as the part and 100 as the whole
We want to know out of what number is 13.5 15% of. This means 13.5 is the part and the unknown (let's make this x) is the whole.
[tex]\frac{13.5}{x} =\frac{15}{100}[/tex]
Now you must cross multiply
13.5*100 = 15*x
1350 = 15x
To isolate x divide 15 to both sides
1350/15 = 15x/15
90 = x
This means that 15% of 90 is 13.5
Hope this helped!
~Just a girl in love with Shawn Mendes
Same question as the previous one but forgot to show the answer choices
Answer:
C
Step-by-step explanation:
x apples cost 80
1 apple costs 80/x
5 apples costs 80*5/x = 400/x
The same calculation works for the oranges.
y oranges cost 75
1 orange = 75/y
6 oranges = 75*6/y
6 oranges = 450/y
The total cost is 450/y + 400/x which is C