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3 years ago

Which expression has an equivalent value to x^2 + 9x +8 for all values ofx?

1 answer:

6 0

The answer would be the first option (x+1)(x+8). You would use the foil method, which will give you the equivalent value of the expression.

Hope this helped

You might be interested in

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? check all that apply.

diamong [38]

Answer

A. XY and ST

B. VU and TW

D.TX and WX

Step-by-step explanation:

The question is on volume of a hexagonal right pyramid

The formula for volume of hexagonal right pyramid is

$V=\frac{\sqrt{3} }{2}a^2h$

where a is the base length and h is the height of the pyramid.

So to get the volume, you need to find the base area then multiply it by the height.

Let observe the lengths that can help you in calculating the volume.

Length XY is important because it is a base length

Length st is important because it is the height of the pyramid

Length VU/YZ is important because it is a base length

Length TW/TX is important because it could help you determine the slant height and if the apothem length is given, you can determine the height TS

Length XW is important because it is a base length

Length XS is not important because it is not the apothem length.Apothem length is a perpendicular bisector of the base length originating from the center of the pyramid

Therefore the correct pairs of lengths are ;

A. XY and ST

B. VU and TW

D.TX and WX

3 0

3 years ago

Write the equation of the line for the following table of values.

Luda [366]

Answer:

We conclude that the equation of the line is:

$y = 5x + 1$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given the data table

x -3 -5 -7 -9 -11

y -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)

(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)$

$m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}$

$m=5$

Thus, the slope of the line is: m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b

$y = mx+b$

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

$y = mx+b$

$y = 5x + 1$

Therefore, we conclude that the equation of the line is:

$y = 5x + 1$

5 0

3 years ago

A two-digit locker combination is made up of nonzero digits and no digit is repeated in any combination.

frez [133]

$|\Omega|=9\cdot8=72\\
A\cap B=\{(1,2),(1,4),(1,6),(1,8)\}\\
|A\cap B|=4\\\\
P(A\cap B)=\dfrac{4}{72}=\dfrac{1}{18}\Rightarrow \text{A}$

3 0

3 years ago

If c is positive and b is negative, what two signs would you use?

Artyom0805 [142]

- and + Be more specific for a better answer also provide a picture

4 0

3 years ago

Use the information given to correctly complete the sentence.

IRISSAK [1]

Explanation: 54 yards is about 162 feet, and since we are converting measurements we need this ( duh ) and 135 seconds is approximately 2.25 minutes, so what we need to do is is divide the numbers like any conversion problem: 162 divided by 2.25 is 72.

Hope this answer helps!

4 0

3 years ago