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Wittaler [7]
3 years ago
15

The question is in the picture

Mathematics
1 answer:
faust18 [17]3 years ago
7 0

Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

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Which function has the same y-intercept as the function y equals 2/3 x - 3​
aleksley [76]

We have the function y = \frac{2}{3} x -3 and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

y = \frac{2}{3} (0) -3 = -3

Now that we found that y-intercept =-3, any lineal function of the type: y = ax - 3 will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: y=ax^{2} + bx - 3 will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0
3 years ago
The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line. 
IgorLugansk [536]

Answer:

A. y + 6= -2(x - 4)

Step-by-step explanation:

Let A(a , b) be a point of the line

and m be the slope.

The equation of the line in Point-slope form :

y - b = m (x - a).

…………………………

Given :

Slope = -2

A(4 , -6)

Then

Point-slope equation : y + 6= -2(x - 4)

6 0
2 years ago
15x=3x+120 <br><br> Show answer
inn [45]
15x = 3x + 120 (subtract both sides by 3x)
12x = 120 (divide both sides by 12)
x = 100

5 0
3 years ago
Read 2 more answers
A certain bacteria population increases continuously at a rate proportional to its current number. The initial population of the
luda_lava [24]

Answer: C

Step-by-step explanation:

This describes an expotential function

At t = 0, P = 70

Therefore, C = 70

P = 70 e^kt

Solve for k by plugging in (4,360)

k = 0.4094

plug in t(7 hours)

70 e^(0.4094*7)

The answer roughly equals C

3 0
3 years ago
Read 2 more answers
Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library ca
Lapatulllka [165]

Answer:

343

Step-by-step explanation:

Finding? How many people with a library card should he expect in the population?

Important? Population = 700. Sample 1= 53%. Sample 2 = 51%. Sample 3 = 43%.

How? Average the 3 samples percentages together. The percent sign tells us what the sample size is (% = out of 100). Set up the proportions for library card to sample size and then library card to population. Cross multiply.

5 0
2 years ago
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