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3 years ago

A roof drops 6 feet for every 3 feet forword,determine the slope of the roof the slope can be positive or negative

Mathematics

1 answer:

dalvyx [7]3 years ago

8 0

Answer:

The slope is -2

Step-by-step explanation:

Since the roof is decreasing in height as it goes forward, I know that the slope must be negative. The equation to find the slope is rise/run. The vertical change, or the rise, is -6 feet, so that value goes on top of the fraction. The horizontal value, or the run, is 3 feet so that goes on the bottom of the fraction.

Now our fraction is $\frac{-6}{3}$

If you simplify that fraction, you'll get -2.

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The cylinder above has a radius of 5 inches and a height of 12 inches. What is the surface of the cylinder above?

Ipatiy [6.2K]

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

5 0

3 years ago

Determine the equation of the line shown in the graph: y = −1 y = 0 x = −1 x = 0

BaLLatris [955]

Answer:

Option C.

Step-by-step explanation:

If a vertical line intersects the x-axis at point (c,0), then the equation of line is x=c.

From the given figure it is clear that it is a vertical line and it intersects the x-axis at (-1,0). There are infinite values of y at x=-1.

So, the equation of given line is

$x=-1$

Therefore, the correct option is C.

7 0

3 years ago

Name the transformation

Andrej [43]

no idea no idea no idea no idea

6 0

3 years ago

Can you help with #21 please. I will mark Brainliest.

Leokris [45]

Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are $-2$ and $-4$ .

We now want to find all equations of the form $(x-(-2))(x-(-4))=(x+2)(x+4)=0$ .

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: $(x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0$

We can then divide both sides of the equation to find that $-x^2-6x-8=0$ , so A is another answer.

We can complete the square on $x^2+6x+8$ to find the last possible solution.

$x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0$ .

We can then multiply both sides of the equation by $4$ to find that $4(x+3)^2-4=0$ , so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

7 0

2 years ago

Read 2 more answers

Sec-1 4

MaRussiya [10]

Answer:

1.32

Step-by-step explanation:

Consider ...

x = sec⁻¹(4) . . . . . the inverse secant function of 4, also written arcsec(4)*

Taking the secant of both sides, we have ...

sec(x) = 4

Writing this in terms of more familiar functions, it is ...

1/cos(x) = 4

cos(x) = 1/4

Now, we can use a calculator to find the inverse function. Be sure the calculator is in the appropriate angle mode. We suspect the desired result is in radians.

x = cos⁻¹(1/4) ≈ 1.318116

sec⁻¹(4) ≈ 1.32 . . . . . radians

_____

* One way to read this is "the angle whose secant is 4." This helps remind you that the result is an angle, so can be in degrees or radians (or any of several other angle measures).

8 0

3 years ago