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3 years ago

1. What is the product of a number and its multiplicative inverse?

Mathematics

1 answer:

Dafna1 [17]3 years ago

5 0

Answer: 1. 5^3

2.-5/1

3. -1/3

Step-by-step explanation:

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

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7 0

3 years ago

when all the kids who tried out for soccer were divided into teams of 15 players, there were exactly eight teams. how many kids

seropon [69]

You would multiply 15 ×8= 120 kids tried out

5 0

3 years ago

A rectangle has an area of 84 square feet. the length is twice the width. draw a rectangle and draw a line dividing it in two to

algol13

The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.

<h3>How to determine the dimensions</h3>

The formula for determining the area of a rectangle is expressed as;

Area = width × length

Given that;

Area = 84 square feet
length = 2w

Let's substitute into the formula

84 = w(2w)

84 = 2w²

Divide both sides by 2

84/ 2 = w²

42 = w²

Take square root of both sides

w = √42

w = 6.4 feet

Length = 2w = 2 × 6. 4 = 12. 96 meters

Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.

Learn more about rectangles here:

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6 0

1 year ago

A handyman charges a flat rate of $150, plus $25 per hour for house painting. A painter charges $55 per hour for house painting.

FromTheMoon [43]

Answer:

150+25=55

Step-by-step explanation:

i cnt promise the right answer but i tried and

got really confused really quick

hope i helped

8 0

3 years ago

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3 friends went to a coffee shop. Each of them got a muffin and two cups of coffee. The total cost of the order was $21.75. If a

Pavlova-9 [17]

Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure

Step-by-step explanation:

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3 years ago