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3 years ago

Factor the expression x^2-x-42

Mathematics

1 answer:

prohojiy [21]3 years ago

7 0

Yay! Quadratics!

-42 has two factors that sum up to -1. -7 and 6.

So then it becomes, (x-7)(x+6)
Check it using FOIL.

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An equation parallel and perpendicular to 4x+5y=19

UNO [17]

Answer:

Parallel line:

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

$y=\frac{5}{4}x-\frac{1}{2}$

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

$4x+5y=19$

we can change it into y=mx+b form

$5y=-4x+19$

$y=-\frac{4}{5}x+\frac{19}{5}$

so,

$m=-\frac{4}{5}$

Parallel line:

we know that slope of two parallel lines are always same

so,

$m'=-\frac{4}{5}$

Let's assume parallel line passes through (1,1)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-1=-\frac{4}{5}(x-1)$

now, we can solve for y

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

$m'=\frac{5}{4}$

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-2=\frac{5}{4}(x-2)$

now, we can solve for y

$y=\frac{5}{4}x-\frac{1}{2}$

4 0

3 years ago

Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.

NISA [10]

The correct answer is the second choice.

Paolo made an error when he cross multiplied the proportion. He should have multiplied the 3 and the 8 and also the 12 and the x.

The second line should be:

12x = 24

6 0

3 years ago

Read 2 more answers

Here are three problems. Select all problems that can be solved using division. Jada cut 4 pieces of ribbon that were equal in l

Ivenika [448]

Answer:

A and C

Step-by-step explanation:

7 0

3 years ago

Sean lives about 15.5 miles from the airport. Which number rounds to 15.5 when rounded to the nearest tenth?

Natasha_Volkova [10]

ANSWER(S):

15.51

EXPLANATION(S):

15.51 rounded to nearest tenth is 15

*more than one answer

5 0

3 years ago

HELP ASAP ASAP!! NO LINKS PLEASEEEE OR U WILL BE REPORTED, I NEED AN ANSWER WITH EXPLANATION AND WORK SHOWN OR EXPLAINED, WILL G

iogann1982 [59]

Graph these numbers and then connect at the end.

3. y (6,-3). x (2,-4) z (5,-7)

4. U (5,4). T (5,1) S (1,0) V(-3,4)

i hope these help.

7 0

2 years ago