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notsponge [240]
4 years ago
14

Which is the slope-intercept form of the equation y - 12 =-1/3(x- 6)?

Mathematics
1 answer:
lara31 [8.8K]4 years ago
5 0

Answer:y=-1/3x+14

Step-by-step explanation:

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Find the distance between (2a+2, 2b) and (2b+2, 2a), given that a>b.
Elina [12.6K]

Answer:

Distance = 2\sqrt{2}a-2\sqrt{2}b

Step-by-step explanation:

We will use distance formula shown below to solve this:

Distance Formula:  \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Where

x_1 = 2a + 2

y_1 = 2b

x_2 = 2b+2

y_2 = 2a

Substituting, we solve for the expression for distance:

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\D=\sqrt{(2a-2b)^2+((2b+2)-(2a+2))^2}\\D=\sqrt{(2a-2b)^2+(2b+2-2a-2)^2}\\D=\sqrt{(2a-2b)^2+(2b-2a)^2}\\D=\sqrt{4a^2 -8ab+4b^2+4b^2-8ab+4a^2}\\D=\sqrt{8a^2-16ab+8b^2}\\D=\sqrt{(2\sqrt{2}a-2\sqrt{2}b)^2}\\D=2\sqrt{2}a-2\sqrt{2}b

This is the expression in terms of a, and b,  given a > b

7 0
3 years ago
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone is what shape?
Vilka [71]
It's an isosceles triangle. The best way to solve these problems is to just visualize the cross section. If you just think about it, it makes sense.
3 0
3 years ago
Read 2 more answers
Jordan deposited $500 in a savings account that earns 8% interest compounded annually. At the end of 2 years, she transferred th
KIM [24]
Your answer is 520 hopefully it works
4 0
3 years ago
An aircraft has a maximum of 30 first class seats and 220 economy seats.
Sidana [21]

Answer:

x\leq 30

y\leq 220

240x+120y

Step-by-step explanation:

Let

x ----> the number of first class seats

y ----> the number of economy class seats

we know that

An aircraft has a maximum of 30 first class seats

so

x\leq 30

An aircraft has a maximum of 220 economy seats

y\leq 220

A flight will be cancelled if the money taken for the seats is less than $28,800.

so

240x+120y

therefore

Three inequalities that represent the situation are

x\leq 30

y\leq 220

240x+120y

8 0
3 years ago
Nine fever than half a number is five more than four times the number
gogolik [260]
9-1a/2 = 5+4a
-5         -5

4-1a/2 = 4a
  +1a/2   +1a/2

4 = 9a/2
*2   *2

8 = 9a
/9   /9

8/9 = a

HOPE THIS HELPS!!!
5 0
3 years ago
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