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3 years ago

F(x)= -3x+7 what is f(-20)?

Mathematics

1 answer:

TEA [102]3 years ago

6 0

Answer:

Step-by-step explanation:

Evaluate 7 - 3 x where x = -20:

7 - 3 x = -3 (-20) + 7

Hint: | Multiply -3 and -20 together.

-3 (-20) = 60:

60 + 7

Hint: | Evaluate 60 + 7.

60 + 7 = 67:

Answer: 67

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Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).

svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find WZ and WX:

$WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }$

$WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }$

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0

2 years ago

A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl

lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0

2 years ago

What is the slope of the line that is perpendicular to the given line x-2y=10?

laiz [17]

Not sure how to do it in this form but in slope intercept form for example if the slope was -4/3 the perpendicular would be 3/4 it’s the negative reciprocal of the answer

7 0

2 years ago

3) How are a square and rectangle different?

Luda [366]

Answer: The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve for y x+2y=6. what's the answer

Luda [366]

Solve for y

x+2y=6

Add (-x) to both sides:

x + 2y + (-x) = 6 + (-x)

Simplify:

2y = 6 - x

Divide both sides by 2

2y/2 = (6-x) / 2

2y/2 = 6/2 - x/2

y = 3 - x/2

5 0

3 years ago

Read 2 more answers