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3 years ago

What is the equation of a line that passes through (-2,-3) and is perpendicular to 2x-3y=6

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

For the perpendicular family we swap the coefficients on x and y, negating one. The point fixes the constant:

3x+2y = 3(-2)+2(-3)=-12

2y = -3x - 12

y = -3/2 x - 6

Choice A

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19 – 5x = 9(1+x) solve

Maurinko [17]

$\Large\boxed{\tt Answer:~x=\frac{5}{7} }$

$\tt Step-by-step~explanation:$

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

7 0

3 years ago

Read 2 more answers

What is 5654554 + 5544527?

vovangra [49]

Answer:

11,199,081

Step-by-step explanation:

Hope this helped, have a great day! ;D

5 0

3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

Klio2033 [76]

The firs term
A(1)=-6+(1-1)(6)
A(1)=-6+(0)(6)
A(1)=-6

The fourh term
A(n)=-6+(n-1)(6)
A(4)=-6+(4-1)(6)
A(4)=-6+(3)(6)
A(4)=-6+18
A(4)=12

The tenth term
A(10)=-6+(10-1)(6)
A(10)=-6+(9)(6)
A(10)=-6+54
A(10)=48

Answer:
D. -6,12,48

6 0

3 years ago

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combine

SVEN [57.7K]

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is 54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

8 0

3 years ago

The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.

mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

$A=\frac{k}{B}$

Where k is the proportionality constant [that we need to find]

For this problem, we can write the ratio as:

$N=\frac{k}{C}$

Now given N = 480 and C = 4.90, we first find k:

$N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352$

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

$N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55$

Rounding to next whole number, we have 436 items

5 0

3 years ago