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3 years ago

given the equation y-3=1/2 (x+6) in what point-slope form, identity the equation of the same line in standard form

1 answer:

7 0

Hello there! Your answer should be y=1/2x+6!
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Explanation:
y-3=1/2 (x+6) {Now use the distributive property: [a(b+c)=ab+ac]}
y-3=1/2x+3 (add 3 to both sides now...)
y=1/2x+6
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Please tell me in the comments section below if I helped you!
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P.S. brainiest would be appreciated.

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A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years? R

Thepotemich [5.8K]

Use the compound amount formula:

A = P*(1+r/n)^(nt)

Here,

A = $3500*(1+0.0375/12)^(12*12) = $5485.24

4 0

4 years ago

Rotate shape A 90° clockwise with centre of rotation (0,0).

Andreyy89

Answer:

(2,4)====(-4,2)

(4,3)===(-3,4)

(2,3)====(-3,2)

5 0

3 years ago

You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,

kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

$\text{Sum of square of differences} = \sum (x_i -\bar{x})^2$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{962}{15} = 64.13$

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0

3 years ago

Which of the following is true about radiation from the sun?

bearhunter [10]

This isn't a math question and should be in the science section. However, I will still answer the question. The answer is choice B.

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Here's a further breakdown

A. False. The radiation or energy from the sun can travel through air or else you wouldn't feel the sun's rays. Also, plant life wouldn't be alive without that energy going through the air.

B. True. The rays travel through a vacuum of space. If they couldn't travel through space, then the same problem comes up as in choice A: the issue of not feeling the sun's rays.

C. False. They rays have different frequencies. Because there are many wavelengths (see choice D below), this means there are different frequencies. Recall that f = 1/w where f is the frequency and w is the wavelength.

D. False. The rays are made of different wavelengths. The visible light portion is what we can see, though there is a lot more to the electromagnetic spectrum (eg: ultraviolet light).

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So once again, the answer is choice B

6 0

4 years ago

Perimeter of an isosceles triangle is 90 m. If the length of the two equal sides is three fourth of the unequal side , find the

Sveta_85 [38]

Answer:

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

Step-by-step explanation:

An isosceles triangle is a triangle with two sides being equal (also two equal base angles).

Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:

x + x + y = 90

2x + y = 90

But the length of the equal side is three fourth of the unequal side, i.e x = 3/4y

Therefore:

2(3/4y) + y = 90

3/2y + y = 90

2.5y = 90

y = 90/2.5

y = 36 meters

Also x = 3/4 * 36 = 27 meters

The length of the equal side is 27 meters each and that of the unequal side is 36 meters

5 0

3 years ago