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postnew [5]
2 years ago
9

A line with a slope of o passes through the points (9, z) and (-7, 5). What is the value of z?

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

z = 5

Step-by-step explanation:

m = ∆y/∆x = y₂-y₁/x₂-x₁

0 = y₂-y₁/x₂-x₁ = 5 - z / -7 - 9 = 5 - z / -16 →

5 - z / -16 = 0 → 5 - z / -16 × -16 = 0 × -16 → 5 - z = 0 →

5 - z - 5 = 0 - 5 → -z = -5 → z = 5

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Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

Ce^{k} = 1

e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

5 0
3 years ago
The​ world's largest university​ (by enrollment) is University​ A, followed by University B. If the enrollment in University A i
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Answer:

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