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3 years ago

What is the slope of a line parallel to the line with equation 5x + 3y = 7?

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

-5/3

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

$\frac{3y}{3} =\frac{-5x+7}{3} \\y=\frac{-5}{3}x+\frac{7}{3}$ .

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

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IRISSAK [1]

Step-by-step explanation:

cos A = 16/20 = 4/5

tan A = 12/16 = 3/4

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3 years ago

What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?

Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

$\frac{y_2-y_1}{x_2-x_1}$

in this case

it will look like this

$\frac{-7.5-(-3.5)}{6-4}$ = $\frac{-4}{2}$ =-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0

3 years ago

I really need help please

Leokris [45]

Answer:

So we have two given angles- 31* and 43*.

First we add those together.

31* + 43* = 74*

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180* - 74* = 106*

106* is the missing angle.

x106* - 31* = 75*

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6 0

2 years ago

The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the f

Tpy6a [65]

An exponential or geometric function can be expressed as a power of t, where t is time.

This means that if you can fit all three values into the formula

S = S0 * (1+r)^t

for a constant r, and t=1, 2, 3 (or 0, 1, 2 for simplicity), then it's exponential.

You can see right away that the first and second sets of numbers are not exponential. These are linear, because each month is a fixed value greater than the previous one.

If you look at the formula above, you can see that each successive time interval's growth can be calculated by multiplying a fixed value to the previous intervals. For example, the second month is given by:

S(1) = S0 * (1+r)

S(2) = S0 * (1+r)^2 = S0 * (1+r) * (1+r) = S(1) * (1+r)

Since each month's sales is 102% the previous month's in the fourth set, this is the one you want.

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Answer:

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Step-by-step explanation: hope this also helps

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