2 years ago

Does each pair of expressions form an equation when joined with an equals sign?

Mathematics

1 answer:

jenyasd209 [6]2 years ago

6 0

Answer:

the answer is yes

Step-by-step explanation:

I took the test and got it right :)

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The value of y varies directly with x and the constant of variation is 4. What is the value of x when y=84?

anygoal [31]

Y varying directly with x means y equals a constant multiplying x: y=kx
in this case, k=4, so 84=4x
x=21

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3 years ago

How many solutions does the equation −4y + 4y + 2 = 2 have?

Effectus [21]

Actually infinity would be your answer because you can do 2-2 = 0 so -4y + 4y = 0, and you can do this with any number and it turns out to be 0. Because 0 times anything is 0, and anything times itself is itself and -4 + 4 is 0.<span />

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3 years ago

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BC is parallel to DE. What is the length of CE?

Korolek [52]

The Lea thing of ce are 1.25

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3 years ago

Atraeus is solving the quadratic equation by completing the square. 7x^2 – 14x + 6 = 0 7x^2 – 14x = –6 A(x^2 – 2x) = –6 What is

olganol [36]

Hello,

A=7
Indeed
A(x²-2x)=-6
7x²-14x=-6

==>A=7 and -14=-2A==>A=7

7 0

4 years ago

After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

3 years ago