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Over [174]
3 years ago
5

Harold has been hired as a salesman. He is paid a flat rate of $375 each week and earns an additional $14.25 commission for each

sale. If x represents the number of sales and y represents the total earned, which equation will help Harold determine the amount he earns in one week? (2 points) Select one: a. y = $375h - $14.25 b. y = $375h + $14.25 c. y = $14.25h + $375 d. y = $14.25h - $375
Mathematics
1 answer:
Andru [333]3 years ago
5 0
The answer is
c. \: y = 14.25h + 375
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Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has
Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0),  Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

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

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8  

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0
3 years ago
If the sin 0° = 0, then which statement is true?
snow_tiger [21]

Cos 90° = 1

Step-by-step explanation:

Cos 90° = 1, Because The angles are complements

4 0
3 years ago
Read 2 more answers
A file folder box is in the shape of a rectangular prism with a length of 12 inches, a width of 9 inches, and a height of 10 inc
Sonbull [250]
The answer is c 438 in 2
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3 years ago
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Evaluate N^2 + 2N 1 for N=5
Murljashka [212]

Answer:

35

Step-by-step explanation:

write 5 in N's place

5^2+2×5×1

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8 0
3 years ago
An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y                  (eldest)

m=16000+y       (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500                 ...or $298500

m=16000+149250=165250         ...or $165250

y=149250                                      ...or $149250

Add all those numbers up, and you reach $613000.

7 0
3 years ago
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