What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.

Preimage and image points are labeled as primes.

gtnhenbr [62]

Answer: false

Step-by-step explanation:

3 0

3 years ago

Y+2 = -3(x – 4)<br> Complete the missing value in the solution to the equation. <br><br> (?, -2)

ss7ja [257]

Answer:

The missing value in the solution to

the equation will be:

$x=4$

Step-by-step explanation:

Given the equation

$y+2\:=-3\left(x\:-\:4\right)$

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

$\left(-2\right)+2\:=-3\left(x\:-\:4\right)$

switch the sides

$-3\left(x-4\right)=\left(-2\right)+2$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$-3\left(x-4\right)=-2+2$

$-3\left(x-4\right)=0$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}$

$x-4=0$

$x=4$

Therefore, the missing value in the solution to

the equation will be:

$x=4$

4 0

3 years ago

True or False: The weight of an object varies with the amount of gravity that pulls on it.

Lisa [10]

Answer:

True

..

.

4 0

2 years ago

Read 2 more answers

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Kryger [21]

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

is

y=9x-5

4 0

3 years ago

The area of a triangle is 20 cm², and the

grandymaker [24]

Answer:

Heavenly, we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz :P

20 = 1/2 *( $b^{2}$ + 4b)

20*2 = $b^{2}$ + 4b

40 = $b^{2}$ + 4b

0 = $b^{2}$ + 4b-40

rewrite the above so it's in x format

$x^{2}$ + 4x -40 = 0

use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P

X = (b± $\sqrt{b^{2}-4*a*c }$ ) / 2*a