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3 years ago

Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

(25, 9)

Step-by-step explanation:

<h3>Given </h3>

Point (5, -7) and midpoint (15, 1)

Missing endpoint

<h3>Solution</h3>

<u>Midpoint formula:</u>

x = (x1 + x2)/2,
y = (y1 + y2)/2

<u>Substituting values:</u>

15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 25
1 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9

<u>Missing endpoint is:</u>

(25, 9)

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Roxanne graphed this system of equations to find the solution.

Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

$y = \frac{2}{3}x-5$ .....[1]

$y = -2x+3$ . .....[2]

equate these two equations we get;

$\frac{2}{3}x-5=-2x+3$

Add 5 to both sides we get;

$\frac{2}{3}x = -2x+8$

Add 2x to both sides we have;

$\frac{8}{3}x = 8$

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0

3 years ago

Read 2 more answers

Find the value of the greater root of x2 - 13x + 12 = 0.

JulsSmile [24]

The answe has to be d

4 0

3 years ago

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A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ

Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = $2.2\times 7.4=16.28$

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = $2.2\times -6.2=-13.64$

Thus change in moment is: $16.28-(-13.64)=29.92$

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

$\frac{29.92}{0.25}=119.68$

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0

3 years ago

The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22

stiv31 [10]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

when

p = 3824

$s = \frac{p}{16}$

$s = \frac{3824}{16}$

s = 239

The final answer is

239 square feet

Hope this helps you

6 0

3 years ago

Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating syst

lisabon 2012 [21]

Answer:

a) c) μ = 16.4.

b) d) μ > 16.4.

c) a) μ < 16.4.

d) c) μ ≠ 16.4.

e) d) right; left; both.

Step-by-step explanation:

Question a:

Test if it is getting worse, so at the alternative hypothesis we test if the mean is of greater than 16.4 inches, but at the null hypothesis we test if it is still of 16.4 options, so option C.

Question b:

At the alternative hypothesis we test if the mean is of greater than 16.4 inches, as said above, so the answer is given by option d.

Question c:

Dying down, so if the mean is lower than 16.4 inches, so option a.

Question d:

Don't know, so just test if it is different, which includes both lower or greater, so the correct answer is given by option c.

Question e:

Test if more -> right, so on question b) is a right tailed test.

Test if less -> left, so on question c) is a left tailed test.

Different -> both sides, so on question d) it is a two-tailed test.

Thus the correct answer is given by option d.

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3 years ago