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kogti [31]
2 years ago
8

Write an equation in point-slope form of a line that goes through the points (1,4) and (3,-10). Do not use any spaces in your an

swer.
Mathematics
1 answer:
olasank [31]2 years ago
6 0

Answer:

y-4=-7(x-1) OR y-(-10)=-7(x-3)

Step-by-step explanation: The point-slope form is y_-y_{1}=m_(x_-x_{1})

In slope-intercept form, the equation would be y = -7x + 11

You could find the slope by using the slope equation, \frac{y_{2} -y_{1} }{x_{2} -x_{1} }.

Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.

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Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
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Answer:

Step-by-step explanation:

The standard form of this exponential function is

y=a(b)^x where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

y=490(.2)^x

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2 years ago
Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each ba
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If y varies inversely as x and y=32 when x=3, find x when y=15
deff fn [24]
Y=kx, k is not equal to 0
when y=32,x=3, 32=3k
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5 0
3 years ago
Find the values of X and Y that makes these triangles congruent by the HL theorem
muminat

Answer:

C. x = 3, y = 2

Step-by-step explanation:

If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.

Thus:

x + 3 = 3y (eqn. 1) => equal hypotenuse

Also,

x = y + 1 (eqn. 2) => equal legs

✔️Substitute x = y + 1 into eqn. 1 to find y.

x + 3 = 3y (eqn. 1)

(y + 1) + 3 = 3y

y + 1 + 3 = 3y

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y + 4 - y = 3y - y

4 = 2y

Divide both sides by 2

4/2 = 2y/2

2 = y

y = 2

✔️ Substitute y = 2 into eqn. 2 to find x.

x = y + 1 (eqn. 2)

x = 2 + 1

x = 3

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A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 an
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