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3 years ago

What do you already know about linear relationships?

Mathematics

1 answer:

inna [77]3 years ago

8 0

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

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What is the value of x? <br> -2/7x+6+1/7x=18 <br> x=

Alenkinab [10]

$- \frac{2}{7} x$ + 6 + $\frac{1}{7} x$ = 18

First, simplify $\frac{2}{7} x$ to $\frac{2x}{7}$ / Your problem should look like: $-\frac{2x}{7}$ + 6 + $\frac{1}{7} x$ = 18
Second, simplify $\frac{1}{7} x$ to $\frac{x}{7}$ / Your problem should look like: $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ = 18
Third, simplify $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ to $- \frac{x}{7}$ + 6 / Your problem should look like: $-\frac{x}{7}$ + 6 = 18
Fourth, regroup terms. / Your problem should look like: 6 - $\frac{x}{7}$ = 18
Fifth, multiply both sides by 7. / Your problem should look like: 42 - x = 126
Sixth, subtract 42 from both sides. / Your problem should look like: -x = 126 - 42
Seventh, simplify 126 - 42 to 84. / Your problem should look like: -x = 84
Eighth, multiply both sides by -1. / Your problem should look like: x = -84

Answer: x = -84

4 0

3 years ago

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec

Novay_Z [31]

D. 1032 cubic centimeters I think

8 0

3 years ago

Read 2 more answers

What is the volume if each edge of each cube is 1 centimeter

Irina-Kira [14]

Answer:

1 cm^3

Step-by-step explanation:

Length x Width x Height

1 x 1 x 1 = 1

3 0

3 years ago

Find the lengths and slopes of the diagonals to name the parallelogram. Choose the most specific name. E (-2, -4), F(0, -1), G(-

Kay [80]

Answer:

1) d) Square

2) Proofs that PWRS is a rhombus are

Length of QS ≠ PR and

Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.

Step-by-step explanation:

The given points (x, y) of the parallelogram are;

E(-2, -4), F(0, -1), G(-3, 1), H(-5, -2)

The slope, m, of the segments are found as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

By computation, the slope of segment EF = 1.5

The slope of segment FG = -0.67

The slope of segment GH = 1.5

The slope of segment HE = -0.67

Therefore, EF is parallel to GH and FG is parallel to HE

The length of the sides are;

$\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

By computation, the length of segment EF = 3.61

The length of segment FG = 3.61

The length of segment GH = 3.61

The length of segment HE = 3.61

The diagonals are;

EG and FH

The length of segment EG = 5.099

The length of segment FH = 5.099

Therefore, the diagonals are equal and the parallelogram is a square

2) The given dimensions are;

P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2)

A rhombus has all sides equal

The length of segment PQ = 2.24

The length of segment QR = 2.24

The length of segment RS = 2.24

The length of segment PS = 2.24

The diagonals are;

QS and PR

The length of segment QS = 4.24

The length of segment PR = 1.41

The slope of segment QR = -0.5

The slope of segment PS = -0.5

The slope of segment RS = -2

The slope of segment QP = -2

Therefore, QS≠QR the parallelogram is a rhombus

The correct option ;

Length of QS ≠ PR and

Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.

Where there are acute angles in parallelogram PQRS, then the correct option is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2

8 0

3 years ago

The ordered pair (4, -8) is in the 4th quadrant if we took the opposite of the x- value and the opposite of the y-value, which q

harina [27]

9514 1404 393

Answer:

2nd quadrant

Step-by-step explanation:

Reversing the signs of both coordinates reflects the point across the origin. The quadrant diagonally opposite quadrant 4 is quadrant 2.

_____

You recall that quadrants are numbered 1 to 4 counterclockwise, starting from upper right.

8 0

3 years ago