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max2010maxim [7]
3 years ago
7

For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-inter

cept)

Mathematics
1 answer:
valkas [14]3 years ago
3 0
(Look at photo for explanation for slope)
Slope/m is 17
After graphing both points and making a line, you will find that the y-intercept/b crosses at -15

So,
Slope/m = 17
Y-intercept/b = -15

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Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your
Rasek [7]
To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.
f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= \frac{y-4}{-8}  \\ f^{-1}(x)=\frac{x-4}{-8}

From the work show, it can be seen that Talib's work is correct.
4 0
3 years ago
Read 2 more answers
Tri-Star Industries employs electrical, plumbing, and air conditioning technicians. Their home office is made up of three square
Molodets [167]

Answer:

6084 \text{ft}^2.

Step-by-step explanation:

Please find the attachment.

We have been given that  the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 \text{ft}^2 and the area of the A/C building is 900 \text{ft}^2.

We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.

a^2+b^2=c^2

We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.

Upon substituting our given information in Pythagoras theorem, we will get:

5184+900=c^2

6084=c^2

Therefore, the area of electrical building is 6084 square feet.

3 0
3 years ago
Every Monday evening, a mathematics teacher stops by the dry cleaners, drops off the shirts that he wore for the week, and picks
ikadub [295]
(T+W+T+F+S+S+M)+(T+W+T+F+S+S+M)=14
7 0
3 years ago
Find the value of x in the following proportion:
prisoha [69]

Answer:

12

Step-by-step explanation:

6 0
2 years ago
Solve : 4(4p+6)=16 find the value of p
inna [77]

Answer:

p=-1/2

Step-by-step explanation:

4(4p+6)=16

4p+6=4

4p=4-6

4p=-2

P=-2/4

p=-1/2

7 0
3 years ago
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