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3 years ago

Solve for y: ax+yb=c

Mathematics

1 answer:

Ganezh [65]3 years ago

4 0

Answer:

y = $\frac{c-ax}{b}$

Step-by-step explanation:

ax + yb = c ( subtract ax from both sides )

yb = c - ax ( isolate y by dividing both sides by b )

y = $\frac{c-ax}{b}$

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Three consecutive odd intergers have a sum of 27. find the integers

Misha Larkins [42]

Solve for x:
x + (x + 2) + (x + 4) = 27
3x + 6 = 27
3x = 27 - 6
3x = 21
3x / 3 = 21 / 3
x = 7
The integers:
x + (x + 2) + (x + 4) = 27
7 + (7 + 2) + (7 + 4) = 27
7 + 9 + 11 = 27
27 = 27

The integers are 7, 9 , 11

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3 years ago

Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

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$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

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2 years ago

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Kruka [31]

Answer:

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Step-by-step:

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