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3 years ago

Evaluate the expression when a=3 and b=-6. -a +6b

Mathematics

2 answers:

Tcecarenko [31]3 years ago

5 0

Answer:

Step-by-step explanation:

-a + 6b = -3 + 6 * (-6) = -3 - 36 = -39

Fynjy0 [20]3 years ago

4 0

Substitute the values in:

-a + 6b

-(3) + 6(-6)

-3 + (-36)

= -39

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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h

Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0

3 years ago

Stuck, need help please.

Maurinko [17]

Answer:

22.5 lbs

Step-by-step explanation:

First you find the cubic feet. That is the volume of the object which is length*width*height.

In your example, they are using inches. So you have to convert all units to feet. That would be 0.5 inches, 0.5 inches, and 5/3 inches. The volume would be 0.5*0.5*5/3 which is about 5/12 cubic feet

You then take that 5/12 cubic feet and multiply it by the 54 lbs/cubic foot. The answer would be 22.5 lbs

7 0

3 years ago

Number 28 ignore the bubbled in answer

Ghella [55]

Answer:

y = -7x+34

Step-by-step explanation:

We have 2 points, so we can find the slope

m = (y2-y1)/(x2-x1)

= (6--1)/(4-5)

= (6+1)/(4-5)

= 7/-1

= -7

We can use point slope form to make an equation

y-y1 = m(x-x1)

y--1 = -7(x-5)

y+1 = -7(x-5)

Distribute

y+1 = -7x+35

Subtract 1 from each side

y+1-1 = -7x+35-1

y = -7x+34

3 0

4 years ago

Find θ, 0° ≤ θ < 360°, given the following information.

ludmilkaskok [199]

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - $\frac{1}{2}$

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = $sin^{-1}$ ( $\frac{1}{2}$ ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°

3 0

3 years ago

Movie ticket sales are as follows: Adult: 20 tickets for $250 Child: 15 tickets for $71.25 Senior: 5 tickets for $37.50 How much

Anit [1.1K]

Answer:

$12.50

Step-by-step explanation:

take $250 and divide by 20

5 0

3 years ago

Read 2 more answers