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Bingel [31]
4 years ago
15

A line passes through the point (-8,9) and has a slope of 5/4.

Mathematics
1 answer:
Masteriza [31]4 years ago
5 0

Answer:

The answer is

<h2>y =  \frac{5}{4} x + 19 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

y - 9 =  \frac{5}{4} (x + 8) \\  y - 9 =  \frac{5}{4} x + 10 \\ y =  \frac{5}{4} x + 10 + 9

We have the final answer as

y =  \frac{5}{4} x + 19 \\

Hope this helps you

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Manuel drives 300 miles to Orlando fl. He drives at 50 mile per hour. After driving for two hours he takes 15 minutes break two
Serjik [45]

Answer:

It took him 6.75 hours

or 6 hours and 45 minutes

Step-by-step explanation:

The first two hours he travels

50 mi/h *2 h = 100 mi

then a 15 min break

then 2 more hours

50 mi/h *2 h = 100 mi

then a 30 min break

then 2 more hours

50 mi/h *2 h = 100 mi

5 0
3 years ago
A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized sect
PtichkaEL [24]

Answer:

P=40

a + b + x = P

a = 3x    

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

Step-by-step explanation:

longest section 1 = a

mid length section 2 = b

shortest section 3 = x

P=40

a + b + x = P

a = 3x    

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

5x + 5 = 40

5x = 35

x = 7

b = 12

a = 21

5 0
3 years ago
Identify the independent and dependent quantities from the function’s verbal description. What is the independent quantity, and
ad-work [718]

Question:

What is the independent quantity, and which variable should represent it?

Answer:

They're independent of everything else. The dependent variable (sometimes known as the responding variable) is what is being studied and measured in the experiment. It's what changes as a result of the changes to the independent variable. An example of a dependent variable is how tall you are at different ages.

Explanation:

The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment. The dependent variable is the one that depends on the value of some other number. ... Another way to put it is the dependent variable is the output value and the independent variable is the input value. So for y=x+3, when you input x=2, the output is y = 5. An experiment usually has three kinds of variables: independent, dependent, and controlled. The independent variable is the one that is changed by the scientist. Independent variable – the variable that is altered during a scientific experiment. Dependent variable – the variable being tested or measured during a scientific experiment. Controlled variable – a variable that is kept the same during a scientific experiment.

Note:

Sorry i'm 5 days Late, But i hope this clears up any confusion for anyone!

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A.

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