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damaskus [11]
3 years ago
11

The equation of the line in the xy-plane that has slope 7/6 and passes through (9.-6) is

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

0 = 7x-6y -99

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 7/6x+b

Using the point

-6 = 7/6(9) +b

-6 = 7*3/2 +b

-6 = 21/2 +b

Subtract 21/2 from each side

-12/2 -21/2 = b

-33/2 = b

y= 7/6x -33/2

Multiply each side by 6

6y = 7x - 99

Subtract 6y from each side

0 = 7x-6y -99

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In Oakland County the fine for speeding is $15 for each mile per hour over the speed limit. Jim was fined $165 for speeding in a
shtirl [24]

Answer:

36 mph

Step-by-step explanation:

First, we have to find the unit rate of the money.

Since it's 15 dollars for each mile over the speed limit, divide 15 by 165.

The answer is 11, which means he was going 11 mph over the speed limit.

Add 11 to 25, and you get 36

7 0
3 years ago
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
2 years ago
Evaluate the expression 4+−4√2+−1√ and write the result in the form a+bi.
castortr0y [4]

In the expression, the real number a equals 12 and the real number b equals -16.

<h3>How to explain the information?</h3>

It should be noted that the expression given is:

= (4 - 2i)²

Therefore, we need to expand the expression. This will be:

= (4 - 2i)(4 - 2i)

= 16 -8i -8i + 4i²

= 16 -16i +4i²

Substitute -1 for i²

= 16 - 16i + 4(-1)

= 16 - 16i - 4

= 12 - 16i

Therefore, the value of the expression is 12 - 16i.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.

8 0
2 years ago
I need Help!!!<br><br><br>(Question is attached)
katrin2010 [14]

Answer:

SEE BELOW

Step-by-step explanation:

1 - 12000 ft

2 - 10 minutes

3 - The third segment in he graph is not as steep as the first segment because the flight took more time to lose altitude than the time taken to gain altitude.

<em>Hope it helped</em>

3 0
2 years ago
Drag a statement or reason to each box to complete this proof.
goblinko [34]

The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.

<h3>How to utilize properties of Algebra?</h3>

Statement 1; −3(x + 8) = −21

Reason 1; Given

Statement 2; −3(x + 8)/-3 = −21/-3

Reason 2; Division property of Equality

Statement 3; x + 8 - 8 = 7 - 8

Reason 3; Subtraction Property of Equality

Statement 4; x = -1

Reason 4; Given

Read more about properties of Algebra at; brainly.com/question/855307

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5 0
1 year ago
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