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2 years ago

Which of the following number lines shows the correct sum of the number above and 4?

Mathematics

1 answer:

zheka24 [161]2 years ago

6 0

Answer:

Step-by-step explanation:

because on you have to add 4 to the number above. so 3+4 equals 7 so you move 4 spaces to the right on the number line to get you 7. so C is the correct answer

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(asin θ-bcos θ)²=?

lara31 [8.8K]

$(a\sin(\theta) - b\cos(\theta))^2\\= a^2\sin^2(\theta) - 2ab\sin(\theta)\cos(\theta) + b^2\cos^2(\theta)\\= a^2\sin^2(\theta) - ab\sin(2\theta) + b^2\cos^2(\theta)$

6 0

3 years ago

What is the y and x intercept for f(x)=3x-2 find f(-5)

masya89 [10]

Answer: The y- intercept is -2. The x-intercept is 2/3

The attachment shows the solutions.

Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.

0 = 3x -2 . Add 2 to both sides

2 = 3x . Divide both sides by 3

2/3 = x the x-intercept is 2/3

To find f(-5) substitute -5 for x and solve.

f(-5) = 3(-5) -2

f(-5) = -15 -2

f(-5) = -17

5 0

2 years ago

find the dimensions of a rectangle whose width is 5 miles less than its length and whose area is 66 square miles

Lyrx [107]

A = l * w
66 = l * (l - 5)
66 = $l^{2}$ -5l
0 = $l^{2}$ -5l - 66

l = 11 or 6 check which works.

A = 11 * 6, which fits.

length = 11 miles
width = 5 miles

4 0

3 years ago

Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow

alisha [4.7K]

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

7 0

3 years ago

You are paid 82.50 for 7 1/2 hours of work.what is your rate of pay

lana [24]

Hello! So we are talking about $82.50 earned for 7 ½ hours of work. 7 ½ is equivalent to 7.5. To find the rate of pay, all you have to do is divde the amount earned by the number of hours worked. 82.50/7.5 is 11. Let's check it by multiplying to make sure it works. 11 * 7.5 is 82.5. 82.50 = 82.5. There. Your rate of pay is $11 per hour.

7 0

3 years ago