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2 years ago

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.

Mathematics

2 answers:

My name is Ann [436]2 years ago

5 0

Answer:

y=-9x-10

Step-by-step explanation:

First, start by putting the first equation into slope intercept form:

y=-9x+5

We know that in the standard slope intercept formula (y=mx+b), m is the slope and b is the y intercept. Thus, line with the same slope as the one above would have a slope of -9.

To have the same y intercept as y=-8x-10, the y intercept would have to be -10.

Therefore, the formula would be y=-9x-10

11111nata11111 [884]2 years ago

4 0

Answer:

y = - 6/5x + 8/9

Step-by-step explanation:

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following equations:

Equation 1:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Equation 2:

Finally, the requested equation is:

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1 year ago

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belka [17]

<h2>Hello!</h2>

The answer is:

The correct option is the option D

$g=1.63\frac{m}{s^{2}}$

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

$V_{f}=V_{o}-g*t$

Where:

$V_{f}$ is the final speed.

$V_{o}$ is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

$V_{f}=8.15\frac{m}{s}$

$V_{o}=0\frac{m}{s}$

$t=5seconds$

Then, using the formula to isolate the acceleration, we have:

$V_{f}=V_{o}-g*t$

$V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}$

Now, substituting we have:

$g=\frac{V_{o}-V_{f}}{t}$

$g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}$

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

$g=1.63\frac{m}{s^{2}}$

Hence, the correct option is the option D

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Have a nice day!

7 0

2 years ago

3x + 15 *

Temka [501]

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7 0

3 years ago

Read 2 more answers

Solve for x. 2^6x+7=(1/8)^1-5x

wel

as a fraction the answer is

x=(10/9)

as a mixed number

x=1(1/9)

as a decimal

x=1.1

I wasn't sure which form you were looking for I I gave you them all

8 0

2 years ago

Determine the perimeter of the triangle.<br> 3x<br> x + 6<br> 5x – 7

Gekata [30.6K]

Answer:

9x-1

Step-by-step explanation:

The perimeter of the triangle is adding up all 3 sides.

(3x)+(x+6)+(5x-7)=P

9x-1 = perimeter

All I have done is combine like terms.

If there is a... x = something, replace x with the number.

8 0

2 years ago

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10. ​

Find the equation of a line that has the same slope as y = 5 - 9x and the same y-intercept as y=-8x - 10.