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2 years ago

15

Aiden is putting a carpet on the floor of his bedroom. The carpet is 6 feet long and 7 feet wide. What is the total area of Aide

n's carpet?

1 answer:

kakasveta [241]2 years ago

8 0

6 × 7 = 42 because area = length × width

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Which number line shows the solution for

Brums [2.3K]

Answer:

It's the last choice.

Step-by-step explanation:

| n | ≤ 2 represents the distance between n and 0 that is less than or equal to 2. The dots on the 2 and -2 are black because the equal sign is part of the inequality.

Note the vertical lines about the n mean the absolute value of n - the positive distance between n and 0, which has a maximum of 2 either side of the 0.

6 0

3 years ago

The system of equations has no solution:<br> y=2/3x-5<br> 4x - 6y = 30<br> true or false?

Serjik [45]

1. y = 2/3x - 5

2. 4x - 6y = 30

Divide 2. by 2

3. 2x - 3y = 15

Substitute 1. into 3.

4. 2x - 3(2/3x - 5) = 15

5. 2x - 2x + 15 = 15

6. 15 = 15

False. There are an infinite number of solutions.

3 0

2 years ago

Convert the angle 61 38’ 45” to decimal degrees, and round to the nearest hundredth of a degree

slega [8]

A suitable calculator* can do this easily.

61°38'45" = (61 +(38 +45/60)/60)° ≈ 61.65°

_____
I like the RealCalc app for Android, but many graphing calculators also will do this conversion. Of course, you can simply evaluate the expression as above.

6 0

3 years ago

Read 2 more answers

What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D

Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

$\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a} \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a} = \frac{-6-14}{2}=\frac{-20}{2} = -10$

4 0

3 years ago

Determine which rectangle was transformed to result in rectangle E

jenyasd209 [6]

Answer:

Rectangle C

Step-by-step explanation:

Rectangle C was transformed to Rectangle E.

To see how this occurs, let's follow point F (-2, 5) through the two transformations.

(a) Reflection across the x-axis

The x-coordinate does not change, but the y-coordinate changes sign.

Thus, F ⟶ F' (-2, -5).

(b) Translating up two units

The x-coordinate does not change, but the y-coordinate increases by 2..

Thus, F' ⟶ F" (-2, -3).

You can follow the same transformations for the other three corners of rectangle C.

Rectangle C ⟶ Rectangle E

3 0

3 years ago

Read 2 more answers