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2 years ago

What is the equation of the line that passes through the point (2,-1) and has a slope of 3/2

Mathematics

1 answer:

Assoli18 [71]2 years ago

5 0

Answer:

y=3/2x-4

Step-by-step explanation:

y=3/2x+b

-1=3/2(2)+b

-1=3+b

-4=b

y=3/2x-4

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Solve the system

konstantin123 [22]

Use substitution.

y = 2 - x and y = 4x + 7 can become

2 - x = 4x + 7

Now solve for x

-5 = 5x

-1 = x

Now plug -1 for x in either equation.

y = 2 - x -> y = 2 - (-1) -> y = 3
y = 4x + 7 -> y = 4*-1 + 7 -> y = -4 + 7 -> y = 3

So C) is the correct answer.

7 0

3 years ago

2. What is the measure of angle A?

Gemiola [76]

Answer:

80 degrees

Step-by-step explanation:

100 + angle A = 180

180-100= 80

So, the measure of angle A is 80 degrees

8 0

2 years ago

Read 2 more answers

Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequa

NNADVOKAT [17]

Step-by-step explanation:

the answer is 55 is less than or equal to 22

4 0

3 years ago

Some jobs pay a commission plus a bonus at the end of the year. The bonus may be the percent

marysya [2.9K]

Answer:

a) If Sales = $6412454, then Gross Pay = $471315.369.

If Sales = $412454, then Gross Pay = $30315.369.

b) If Sales = $316250, then Gross Pay = $23244.375.

Step-by-step explanation:

This is a simple question. Madelyn earns a commission plus a bonus from her job. The commission is 7% of sales and the bonus is 5% of the commission. Therefore:

a) If her sales are $6412454, then her gross pay will include:

Gross Pay = $6412454 * 7% + ($6412454 * 7%) * 5%.

Gross Pay = $448871.78 + $22443.589 .

Gross Pay = $471315.369.

I assume there is a typo in the question, so just in case, I will also calculate the gross pay for her sales equaling $412454.

Gross Pay = $412454 * 7% + ($412454 * 7%) * 5%.

Gross Pay = $28871.78 + $1443.589 .

Gross Pay = $30315.369.

b) If her sales are $316250, then her gross pay will include:

Gross Pay = $316250 * 7% + ($316250 * 7%) * 5%.

Gross Pay = $22137.5 + $1106.875 .

Gross Pay = $23244.375.

To summarize:

If Sales = $6412454, then Gross Pay = $471315.369!!!

If Sales = $412454, then Gross Pay = $30315.369!!!

If Sales = $316250, then Gross Pay = $23244.375!!!

6 0

2 years ago

A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du

lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

$\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}$

b = length of beginning of submarine to end point. Using sine rule:

$\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles$

7 0

2 years ago