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3 years ago

Solving by elimination4x-y=-45x=2y+1

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

Answer:

x=-3, y=-8

Step-by-step explanation:

please like my answer and brainliest me HSHSSHSHS

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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

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

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3 years ago

Please try and help me with this question I need help

Umnica [9.8K]

B) an=5^n−1
d) an=10^n−1

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3 years ago

What is the volume of the figure?

FromTheMoon [43]

It’s going to be the area of the triangle on the side times the length, so 0.5 x 36 x 15 x 48 = 12960

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4 years ago

The number 0.14356712341… never repeats or terminates. The number is number. Rounded to the nearest thousandth, it is

Alenkinab [10]

0.144 because the number after 3 is 5 and that rounds the 3 to a 4.

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3 years ago

Solving by elimination4x-y=-45x=2y+1​

Solving by elimination4x-y=-45x=2y+1