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grandymaker [24]
3 years ago
15

What is the slope intercept from of the equation of the line that passes through (7, -5) and (3, -9)

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

B. y = x - 12

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{5 - 9}{-7 + 3} = \frac{-4}{-4} = 1

Then use the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done faster that way. It does not matter which ordered pair you choose:

−9 = 3 + b

−12 = b

y = x - 12

________________________________________________________________________________________________

−5 = 7 + b

−12 = b

y = x - 12

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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Find the measure of each numbered angle.
Andrew [12]

Answer:

∠3 = 22°

∠4 = 22°

∠5 = 88°

Step-by-step explanation:

86 + 72 = 158

180 - 158 = 22

∠3 ≅∠4 they're verticle angles

22+ 70 = 92

180 - 92 = 88

5 0
3 years ago
Read 2 more answers
The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340

Thus, the correct answer is

Option D) 340

7 0
3 years ago
William buys a book for $14.85. If he pays with a $20 bill, what will his change c be? Write an equation.
butalik [34]
<h3>Answer:  14.85 + c = 20</h3>

============================================================

Reason:

To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)

The change c is

c = 20-14.85

To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20

In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.

----------------

Extra info (optional section)

If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00

Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.

4 0
2 years ago
If x=at^3 and y=bt^2 then find dy/dx
Molodets [167]
Dy/dx = (dy/dt) / (dx/dt)

dy/dt = 2bt

dx/dt = 3at^2

therefore dy/dx = 2bt/3at^2
              dy/dx = 2b/3at
8 0
3 years ago
The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic units, of the shaded part of the sp
aleksandr82 [10.1K]

Answer:

it would be (10)- (4)

Step-by-step explanation:

7 0
2 years ago
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