MATHEMATICS
HIGH SCHOOL

Answer: The slope of a line is defined as the rate of change on the vertical axis, divided by the rate of change on the horizontal axis, Î”y/Î”x. So for a horizontal line, the rate of change on the y axis is zero, this means that it's slope will be 0/Î”x and for vertical line, x-axis does not change, which make the denominator 0 Î”y/0.

MIDDLE SCHOOL

What are sets and Pls give examples

Is a collection of well defined and distinct objects.

Ex: ( A B C D E) all letters

Ex2: ( January, February, March, April) all months

Ex: ( A B C D E) all letters

Ex2: ( January, February, March, April) all months

MIDDLE SCHOOL

How can 2x2 = x2 + 4x + 8 be set up as a system of equations? y = x2 - 4

y = x2 + 2x + 8

y = x2

y = x2 + 4x + 8

y = 2x2

y = x2 + 4x + 8

y = x2

y = 2x + 8

I would say that y=x2+4x+8 simply because it matches what the original equation

MIDDLE SCHOOL

6 dollars of 3 cans of tuna in a unit rate

The unit rate is $2 per can.

Step-by-step explanation:

You divide 6 by 3 which then equals 2.

Answer:

$2.00 per can

Step-by-step explanation:

MIDDLE SCHOOL

A small company's net income for the first six month of the year was 76,500 and for the last six months it was 100,000 what is the ratio of the first six months of the year to the last six month

Answer:

153:200

Step-by-step explanation:

the ratio of the first six months to the last six months is 76,500:100,000

then simplified is 153:200

COLLEGE

Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?

Divide 40,000 by 500,000 and you get 0.08 which is 8%

Hope this helps!

Hope this helps!

The answer is 8% Hope this helps

MIDDLE SCHOOL

The scale drawing of a poster design has the dimensions of 15 cm by 20 cm. The dimensions of the actual poster will be 60 cm by 80 cm. What is the scale of the drawing? 1/15 1/4 1/3 3/4

The scale is 1:4, as the poster's dimensions are 4 times larger than the scale drawing, which is represented by the second number in the ratio. To see this, you need to see that 15 goes into 60 four times and 20 goes into 80 four times. I hope this helped you!

HIGH SCHOOL

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?

Answer:

Length of the bigger triangle is 10.5 units

Step-by-step explanation:

Let the length of the other triangle = x

We have that,

The length of the smaller triangle = 7 units

the ratio of sides of the figures = 2 : 3

So, we get that the proportions of the lengths will be equal.

That is,

i.e.

i.e.

i.e. x = 10.5

Hence, the length of the bigger triangle is 10.5 units.

1) 7/2 = 3.5

2) 3.5 * 3 = 10.5

answer: 10.5

2) 3.5 * 3 = 10.5

answer: 10.5

MIDDLE SCHOOL

the width of a rectangle is 2 inches less than it's length,and the area is 35 square inches.What are the length and width of the rectangle?Separate the answers with a comma.

7 for the length and 5 for the width. 7 x 5 = 35

Answer:

Length: 7 inches, Width: 5 inches

Step-by-step explanation:

Width: w

Length: w + 2

w(w + 2) = 35

w²+ 2w - 35 = 0

w² + 7w - 5w - 35 = 0

w(w + 7) - 5(w + 7) = 0

(w + 7)(w - 5) = 0

w = 5, -7

Since w is the width, can't be negative

w = 5

Length = w + 2 = 5 + 2 = 7

COLLEGE

Whats the slope of (-6,-4) (3,-7)

The formula is (y2-y1)/(x2-x1)

Plug in the values. Be careful two minuses become plus

(-7+4)/(3+6)=-3/9= -1/3

Plug in the values. Be careful two minuses become plus

(-7+4)/(3+6)=-3/9= -1/3