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3 years ago

Find the coordinates of Rif M(-4, 5) is the midpoint of RS and S has coordinates (0, -10).

Mathematics

1 answer:

alexandr402 [8]3 years ago

3 0

Answer: R = (-8, 20)

Step-by-step explanation:

Given that :

M is the midpoint of RS

M = (-4, 5)

S = (0, - 10)

NOTE :

midpoint, M equals

Mx = (Rx + Sx) / 2

My = (Ry + Sy) / 2

Mx = - 4, Sx = 0, My = 5, Sy = - 10

Mx = (Rx + Sx) / 2

-4 = (Rx + 0) / 2

-8 = Rx + 0

Rx = - 8

My = (Ry + Sy) / 2

5 = (Ry + (-10)) / 2

10 = Ry - 10

10 + 10 = Ry

Ry = 20

Hence, coordinates of R = - 8 and 20

R = (-8, 20)

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Louie is trying to find a rectangular canvas for his art project. Its height must measure 18 inches and form a 48° angle with th

KengaRu [80]

Answer:

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches

8 0

3 years ago

Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti

lakkis [162]

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

$x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24$

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

5 0

3 years ago

Three brothers share 2 sandwiches equally how much of a sandwich does each brother get?

Valentin [98]

Answer:
Each brother gets $\frac{2}{3}$ of a sandwich

Explanation:
We know that the total number of sandwiches is 2 and that the number of brothers is 3.

Since we are given that the sandwiches will be divided equally among the three brothers, this means that each will get an equal share.

Therefore, to get the share of each, we will simply divide the number of sandwiches by the number of brothers as follows:
each one will get = $\frac{# sandwiches}{# brothers}$ = $\frac{2}{3}$ of a sandwich

Hope this helps :)

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4 years ago

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3 years ago

The graph of F(x) = x^2 is shown.

max2010maxim [7]

Answer:

Step-by-step explanation:

Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:

g(x) = a(x-b)^2

Where

a is the vertical compression or stretch. If a > 1, it is a vertical stretch and if 0 < a < 1, it is a vertical compression.

b is the horizontal translation b units to the right

The function given is p(x) = 3(x-8)^2

So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right

the correct answer is B

4 0

3 years ago