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1 year ago

What is Y=2x+5 y=3x-1 system by substitution

Mathematics

1 answer:

Bad White [126]1 year ago

3 0

Answer:

x=6 , y=17

Step-by-step explanation

3x-1=2x+5

+1 -2x

x=6

plug in 6 for x to solve y

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

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Select the positive or negative integer for the situation.

prisoha [69]

Answer:

1500

Step-by-step explanation:

deposit means put in and withdraw means take

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1. Kenneth bought 315 packages of cookies. Each package had 64 cookies. How many cookies

nasty-shy [4]

Answer:

20160

Step-by-step explanation:

315*64 = 20160

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2 years ago

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Please answer. Thank you.

Aloiza [94]

Answer:

Step-by-step explanation:

Graph shows constant change between the weight and the cost.

3/2.25 is 1.33333333

4/3 is 1.3333333

5/3.75 is 1.3333333 as well.

Others are not constant.

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2 years ago

1.2.6 1-118 Find each sum. A. 3/5 + 1/3 B. 5/7 + 1/2 C. 1/6 + 2/8

Blababa [14]

A.) 14/15 B.) 17/14 C.) 5/12

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