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3 years ago

Find the slope of the line passing through the given points, when possible. (If an answer is undefined, enter UNDEFINED.)

Mathematics

1 answer:

juin [17]3 years ago

4 0

Answer:

8/3

Step-by-step explanation:

The slope is rise/run.

This line rises 8/5 - (-1/5), and 'runs' 3/8 - (-3/10).

That simplifies to 9/5 and 27/40.

<em>That</em> means the slope is (9/5)/(27/40), which simplifies to 8/3

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Explain how to write and solve an equation to find an unknown side length of a rectangle when given the perimeter

ratelena [41]

P=2(L+W)
if given one side and the perimiter
(P/2)-L=W
(P/2)-W=L

4 0

3 years ago

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

3 years ago

P^2 - 17p + 72 factor the trinomial. enter smaller number first ? answer (p+?)(p+?)

klio [65]

Answer:

(p - 8)(p - 9)

Step-by-step explanation:

We need 2 numbers whose product is + 72 and whose sum = -17.

They are -8 and -9

3 0

3 years ago

(-1) power 50 is what

Tcecarenko [31]

(-1) to the power of an even number is +1.

(-1) to the power of an odd number is -1.

Since 50 is an even number, (-1)⁵⁰ = 1.

7 0

1 year ago

Ava, Grace, Jayden, and Zoe together stacked a total of 50 brownies on a tray. Ava stacked 0.14 of the brownies, Grace stacked 4

OLEGan [10]

1. Zoe stacked the most brownies. She stacked 27 brownies out of the 50 brownies.

2. 15

3. 43 + 3n ≥ 70, so n ≥ 9

4. D. 58x + 13 + 58y

5. The answer would be ≤4

6. 9.94 + 10.01p ≤ 70, so p ≤ 6

7. C 40 89

8. D. x+(x+5)=77

Hope I helped you! Please consider marking my answer the brainliest :)

4 0

3 years ago