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3 years ago

A given line has the equation 10x+2y=-2 .

Mathematics

2 answers:

Phantasy [73]3 years ago

6 0

Answer:

y=1-5x

Step-by-step explanation:

10x+2y=2

add subtract 10 from both sides

10x+2y=2

-10x. -10x

so now the equation should look like

2y=2-10x

then after that you have to get the Y variable alone so you have to divide everything by 2

2y÷2 = 2÷2 - 10x÷2

After you divide every term by 2 you slope intercept should be

y= 1-5x

please correct me if I am wrong

a_sh-v [17]3 years ago

5 0

Here’s the correct answer and how I got the answer :)

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Create and solve a 2 step with subtraction and multiplication Also, x = 9

juin [17]

Answer:

x - 4(x - 2) = -37

x - 4x + 8 = -37

-5x = -37 - 8

-5x = -45

x = 9

4 0

3 years ago

Find the area of a rectangle with a length of 10 inches and width of 4 inches.

kipiarov [429]

10 x 4 = 40 inches squared

3 0

3 years ago

Read 2 more answers

Help me please please

Mariana [72]

Answer:

scale factor P to Q: 4/5 scale factor Q to P: 5/4

Step-by-step explanation:

Divide original length over new length and you'll get the scale factor.

5 0

3 years ago

Complete the table of values for the function f(x)=-x^2+8x-2

Kipish [7]

Answer:

f(1) = 7

f(2) = 18

f(3) = 31

f(4) = 46

f(5) = 63

f(6) = 82

f(7) = 103

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f(9) = 151

f(10) = 178

Step-by-step explanation:

f(1) = (-1)^2+8(1)-2 = 7

Continue plugging in values...

6 0

3 years ago