All categories

3 years ago

The ordered pairs (0,-5) (-1,-7) and (1,n) are solutions of the same linear equation. find n

1 answer:

5 0

The three points are on the same line, so the slopes formed by any of the two points stay the same
[-7-(-5)]/(-1-0)=[n-(-5)/(1-0)
(n+5)=2
n=-3

You might be interested in

PLEASE SOMEONE HELP ME WITH NUMBER 2. Only PLEASE I NEED HELP!!!!!

Black_prince [1.1K]

Answer:

The intersection of line l is AC

and the intersection of line m is DF.

4 0

3 years ago

Read 2 more answers

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the

Eduardwww [97]

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

4 0

3 years ago

Read 2 more answers

Will mark Brainlest help me to find the value of x (step by step) pls

podryga [215]

Answer:

5 (cm)

Step-by-step explanation:

1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and

2. x=AC=AB/√2; ⇔ x=5 (cm).

4 0

2 years ago

Read 2 more answers

Mikel walks down 5 flights of stairs . each flight has 8 steps. which describes mikel's descent

Ludmilka [50]

Answer:

40 steps downwards

Step-by-step explanation:

4 0

2 years ago