MATHEMATICS
MIDDLE SCHOOL

B. Irrational

Answer: Hey there!!

49/9 = 7

is a rational number as it has a definite answer 7.

Hope it helps you.

49/9 = 7

is a rational number as it has a definite answer 7.

Hope it helps you.

MIDDLE SCHOOL

write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3

Greetings!

Hope this helps!

Answer:

y =

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

So the slope of the perpendicular line is:

= -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m =

y - 6 = (x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y =

y =

Hope this helps!

MIDDLE SCHOOL

$115 coat; 7% tax What is the total cost

$115 * 0.07 = $ 8.05

$115 + $ 8.05 = $123.05

answer: total cost is $123.05

MIDDLE SCHOOL

The sum of a number and 9 is multiplied by -2 and the answer is -8. Find the number

The number is -5.

-5 + 9 = 4

4 • -2 = -8

-5 + 9 = 4

4 • -2 = -8

MIDDLE SCHOOL

Use distributive property to simply 2(4+9w)

Answer:8+18w

I think that’s it.