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3 years ago

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Answer:

y - 5 = -7(x - 8)

Step-by-step explanation:

We can immediately adapt y - k = m(x - h) as follows: replace m with -7, h with 8 and k with 5, obtaining:

y - 5 = -7(x - 8)

This is the desired equation in point-slope form.

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Evaluate the expression when x-3<br> 4x2 - 14x + 4

Lady_Fox [76]

Answer:

Step-by-step explanation:

Evaluate 4 x^2 - 14 x + 4 where x = -3:

4 x^2 - 14 x + 4 = 4×(-3)^2 - -3×14 + 4

(-3)^2 = 9:

4×9 - 14 (-3) + 4

4×9 = 36:

36 - 14 (-3) + 4

-14 (-3) = 42:

36 + 42 + 4

| 1 |

| 4 | 2

| 3 | 6

+ | | 4

| 8 | 2:

Answer: 82

6 0

3 years ago

An Air Force plane flew to the

Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours

4 0

2 years ago

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0

2 years ago

For a ride on a rental scooter, John paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for

enot [183]

The linear equation is $8+0.06x=19.94$ and John rode the scooter for $199$ minutes.

Fee to start the scooter $=$ $ $8$ .

Fee to ride per minute $= 6$ cents $=$ $ $0.06$ .

Total bill $=$ $ $19.94$ .

Let $x$ be the minutes for which he rides the scooter.

The linear equation is formed as:

$8+0.06x=19.94$

$0.06x=19.94-8$

$0.06x=11.94$

$x=199$ minutes.

So, John rode the scooter for $199$ minutes.

Learn more about linear equation here:

brainly.com/question/24794429?referrer=searchResults

5 0

2 years ago

Read 2 more answers

5-a/8=4/7 solve for a show your work

timama [110]

Subtract 5 from both sides
a/-8 = 4/7 - 5

simplify 4/7 - 5 to 31/-7
a/-8 = 31/-7

multiply both sides by 8
-a = 31/-7 x 8

simplify 31/7 x 8 to 248/7
-a = 248/7

multiply both sides by -1.
The answer is a = 248/7

The words are the explanations of the steps and the dark bolded words are the work shown for each step.

6 0

3 years ago