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2 years ago

Factor completely 5x2 − 5x − 100.

1 answer:

4 0

First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)

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How would you solve this problem.

Jet001 [13]

We can find h by calculating the area S of the parallelogram in two ways. We can write: $S=18\cdot10$ . On the other hand, $S=12\cdot h$ . Then:

$18\cdot10=12\cdot h\\\\ 12h=180\\\\h=\dfrac{180}{12}\\\\\boxed{h=15}$

7 0

2 years ago

Kenya is solving the equation 5 3/4 - 1/6x = 4 1/2. She gets to 1 1/4 = 1/6x. Is this a valid way to solve the equation? answer

Alona [7]

Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

move the variable to it's own side.

5 3/4 - 4 1/2 = 1/6x

change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

1 1/4 = 1/6 x

divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

30/4 = x

reduce: 15/2 = x

8 0

3 years ago

3/7 p= -6<br> solve for p!<br> please help!

Stels [109]

Hello,

p = -6 * 7 / 3 = -14

8 0

2 years ago

Read 2 more answers

What is the scale factor of triangle ABC to DEF ?

bekas [8.4K]

Answer: The correct option is (A). 3.

Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.

As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are

AB = 5 units, BC = 4 units, CA = 3 units,

DE = 15 units, EF = 12 units, FD = 9 units.

We know that the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.$

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

$S=\dfrac{DE}{AB}=\dfrac{15}{5}=3.$

Thus, the required scale factor is 3.

Option (A) is correct.

8 0

3 years ago

Read 2 more answers

Find the midpoint of A and B where A has coordinates (2, 4)<br> and B has coordinates (-3,-9).

Pavel [41]

Answer:

x= -0.5

y= -2.5

6 0

2 years ago