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2 years ago

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5

Mathematics

1 answer:

Paraphin [41]2 years ago

7 0

Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

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Question 4 0

BartSMP [9]

Answer:

Fail to reject the null hypothesis because 0.15>0.05

. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.

Step-by-step explanation:

Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.

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2 years ago

A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time

Olegator [25]

Answer:

315 km

Step-by-step explanation:

If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.

Let's use the points (0.5, 42) and (4.5, 378):

as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is

m = rise / run = 336 km / 4 hr = 84 km/hr

then distance traveled = speed times time, or

distance traveled = (84 km/hr)t, where t is the elapsed time.

In 6 hours the bus would travel

( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi

8 0

2 years ago

Read 2 more answers

A sum has five addends. Each addend is a unit fraction. The sum is 1. What are the addends?

Bogdan [553]

I would assume 1/5 is your answer. As 1/5+1/5+1/5+1/5+1/5 = 5/5 which is 1.

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3 years ago

Read 2 more answers

Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo

svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

2y = 3000 - 3x

y = $\frac{1}{2}[3000-3x]$

y = 1500 - $\frac{3x}{2}$

Now area of the rectangle A = xy square feet

A = x[ $1500-\frac{3x}{2}$ ]

For maximum area $\frac{dA}{dx}=0$

A' = $\frac{d}{dx}(1500x-\frac{3}{2}x^{2})$ = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - $\frac{3}{2}\times 500$

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

other two fencing 2(750+750) = $3000

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3 years ago

Please help answer number 4!

solong [7]

The image is black, what’s the question?

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3 years ago