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2 years ago

What is the slope of a line perpendicular to the line whose equation is 6x+y=66x+y=6. fully reduce your answer?

1 answer:

8 0

It looks like your equation repeated twice. I'm assuming it's 6x + y = 6.

I'm going to put your equation into slope-intercept form: y = - 6x + 6.

For the slope to be perpendicular, we do the opposite reciprocal of the slope given. So your slope of a perpendicular line is 1/6.

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Explain how you would find 12 x 18 using the Distributive Property.

Lyrx [107]

You should multiply and search dis and all the answers pop up

7 0

3 years ago

8.99 to the nearest decimal

igor_vitrenko [27]

Answer:

Step-by-step explanation:

One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

Hope this helped!

6 0

2 years ago

Heather is making a blanket for her baby and is going to put a ribbon border around it. The blanket will be 3 feet by 5 feet. Th

mote1985 [20]

Answer:

The approximate total cost for the blanket is $10.08 ⇒ B

Step-by-step explanation:

The formula of the area of a rectangle is A = L × W

The formula of the perimeter of a rectangle is P = 2(L + W)

where:

L is the length of the rectangle
W is the width of the rectangle

∵ The baby blanket shaped a rectangle

∵ The dimensions of the blanket are 3 feet and 5 feet

- Find the area of the blanket

∵ A = 3 × 5 = 15 feet²

- Change feet to yard because the cost is by square yard

∵ 1 foot = $\frac{1}{3}$ yard

∴ 1 foot² = $(\frac{1}{3})^{2}=\frac{1}{9}$ yard²

∴ 15 feet² = 15 × $(\frac{1}{9})$ = $\frac{5}{3}$ yards²

∴ The area of the blanket is $\frac{5}{3}$ yards²

∵ The fabric cost of the blanket is $1.25 per square yard

∴ The fabric cost = $\frac{5}{3}$ × 1.25

∴ The fabric cost = 2.08333 dollars

∵ Heather is going to put a ribbon border around it

- The length of the ribbon is equal to the perimeter of the blanket

∵ P = 2(3 + 5) = 16 feet

∴ The length of the ribbon is 16 feet

∵ The cost of the ribbon is $0.5 per foot

∴ The cost of the ribbon = 16 × 0.5

∴ The cost of the ribbon = 8 dollars

Now add the fabric cost to the ribbon cost to find the total cost of the blanket

∵ The total cost = 2.08333 + 8

∴ The total cost = 10.08333

- Round it to the nearest cent

∴ The total cost = 10.08 dollars

The approximate total cost for the blanket is $10.08

7 0

3 years ago

Find the missing Angles

oksian1 [2.3K]

1. a = 68

b = 112

c = 68

2. a = 127

3. a = 35

b = 40

c = 35

d = 70

4. a = 20

b = 70

c = 20

d = 70

e = 110

5. a = 90

b = 90

c = 42

d = 48

e = 132

6. a = 70

b = 55

c = 25

4 0

2 years ago

The maximum value of 12 sin 0-9 sin²0 is: -

jeka57 [31]

Answer:

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be $\theta$ rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

$f(\theta) = 12sin(\theta) - 9 sin^2(\theta)$

Taking the first derivative of this with respect to $\theta$ and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of $f(\theta)$ w.r.t $\theta$ is

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)$

And setting this = 0 gives

$12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0$

Eliminating $cos(\theta)$ on both sides and solving for $sin(\theta)$ gives us

$sin(\theta) = \frac{12}{18} = \frac{2}{3}$

Plugging this value of $sin(\theta)$ into the original equation gives us

$12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4$

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0

1 year ago