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3 years ago

A line passes through the two given points. Is it vertical, horizontal, or neither?

1 answer:

6 0

To answer this question, let us find the slope using the coordinates:

(2, 1) and (3, 4)

1 - 4 / 2 - 3
-3 / -1
3

The slope is 3, so the answer is neither, since a horizontal line has a slope of 0 and the slope of a vertical line is undefined.

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Michael Pedro and Kevin were saving money. All together they saved $130. Kevin saved 3 times more than Pedro. Michael saved $20

yKpoI14uk [10]

Answer:

The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Step-by-step explanation:

Given as :

The three person namely Michael , Pedro , Kevin

The total saving of all together = $ 130

Let The Michael's saving = $ M

The Pedro's saving = $ P

The Kevin's saving = $ k

I.e Michael's saving + Pedro's saving + Kevin's saving = $ 130

Or, M + P + K = $ 130

again ,

Kevin saved 3 times more than Pedro

I.e K = 3 × P

And , Michael save $ 20 less than Pedro

I.e M = P - $ 20

Now

∵ M + P + K = $ 130

or, ( P - $ 20) + P + 3 × P = $ 130

Or, 5 P - $ 20 = $ 130

Or, 5 P = $ 130 + $ 20

Or, 5 P = $ 150

∴ P = $ $\frac{150}{5}$

I.e P = $ 30

So The Pedro's saving = P = $ 30

And

M = P - $ 20

∴, M = $ 30 - $ 20

I.e M = $ 10

So, The Michael's saving = M = $ 10

Similarly

K = 3 × P

∴ k = 3 × $ 30

I.e K = $ 90

So, The Kevin's saving = k = $ 90

Hence The saving of all three person are

The Pedro's saving is $ 30

The Michael's saving is $ 10

The Kevin's saving is $ 90

Answer

5 0

3 years ago

A geometric sequence has an initial value of 9 and a common ratio of 5. What function could represent this situation?

leonid [27]

Answer:

The functions that represent this situation are A and C.

Step-by-step explanation:

A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.

In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.

This is the explicit formula for the geometric sequence whose first term is k and common ratio is r

6 0

3 years ago

What are the factors of 5x2 + 39x − 8?

prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into: