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vesna_86 [32]
3 years ago
8

X= y-2 2x+3y=21 Solution_______

Mathematics
1 answer:
algol133 years ago
3 0
X= y-2

2x+3y=21
⇒ 2(y-2)+3y=21
⇒ 2y-4+3y= 21 (distributive property)
⇒ (2y+3y)-4= 21 (combine like terms)
⇒ 5y= 21+4
⇒ 5y= 25
⇒ y= 25/5
⇒ y= 5

The final answer is y=5~

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Equation Given: <img src="https://tex.z-dn.net/?f=h%28t%29%3D-4.9t%5E%7B2%7D%2B358" id="TexFormula1" title="h(t)=-4.9t^{2}+358"
Vilka [71]

Answer:

At 3.44 seconds, the penny is at a height of 300 meters above the ground.

Step-by-step explanation:

Basically, we have to solve an equation here:

-4.9t^{2} + 358 = 300

Hence,

-4.9t^{2} = 300 - 358

t^{2} = \frac{-58}{-4.9}

t = 3.44

Hence, at 3.44 seconds, the penny is at a height of 300 meters above the ground.

Hope this helped!

4 0
2 years ago
Chloe drew a triangle with side lengths of 30 centimeters, 24 centimeters, and 18 centimeters. Juan drew a triangle with side le
vlada-n [284]

Answer:

A and B

Step-by-step explanation:

Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle.  Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.

That means they are different only in size. So, their angle measures are the same and they are the same shape.

A and B are true.

C is never true, because the sum of all 3 angles in a triangle is always 180°.

D is not true, because they are similar.

5 0
2 years ago
If VZ=p–7 and WY=p–21, what is the value of p?
sveta [45]

Using the midline property;

2wy = vz

2(p - 21) = p - 7

2p - 42 = p - 7

2p - p =  - 7 + 42

p = 35

8 0
2 years ago
HELP ASAP (1O BRAILY/POINTS FOR ANSWER)
shutvik [7]

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Hope this helped!

5 0
2 years ago
Read 2 more answers
Determine the maximum number of zeros of the polynomial function -8x^4-x^2+2 a. 1 c. 3 b. 4 d. 2 Please select the best answer f
alexgriva [62]
Generally speaking, the number of solutions to an algebraic equation is equal to the exponent of the highest power.  so the answer is b.4


6 0
3 years ago
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