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vazorg [7]
3 years ago
15

Which lines are perpendicular to the line y - 1= 1(x+2)? Check all that apply

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0

Step-by-step explanation:

Given the line y-1 = 1(x+2), in order to know the line that is perpendicular to the given line, we will first find the slope of the known line.

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

Rewrite the equation given

y-1 = 1(x+2)

y-1 = x+2

y = x+2+1

y = x+3

Comparing to the standard form, the slope m = 1.

For two lines to be perpendicular, the product of their slope must be -1 i.e mM = -1

Substitute

1(M) = -1

M = -1

For us to know the line that is perpendicular to the given line, its slope must be -1.

<em>Since none of the equation has a slope of -1, hence none of the lines are perpendicular to the line y - 1= 1(x+2).</em>

<em></em>

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What is the inverse of the function f(x) = x +3?
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Answer:

h(x) = x - 3

Step-by-step explanation:

To find the inverse of a function, you can switch the x and y variables.

In f(x) = x + 3, the y variables is "f(x)".

y = x + 3

Now switch the x and y.

x = y + 3

Isolate for y and replace with h(x).

x - 3 = y

y = x - 3

h(x) = x - 3

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2 years ago
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igomit [66]

Answer:

5

Step-by-step explanation:

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The result would be 3x^2+7x+2.

If you have any question, tell me and I would be more than happy to help! Thanks.
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6. Sketch the region enclosed by the graphs of x =0, 6y-5x=0 and x+3y=21. Find the area
kow [346]
We can see that revolving the region formed by intersecting 3 lines, we will get 2 cones that are connected their bases.
Volume of the cone V=1/3 *πr²*h

1) small cone has r=5, and h=5
Volume small cone V1= 1/3 *π*5²*5 = 5³/3 *π
2) large cone has r=5, and h=21-6=15, h=15
Volume large cone V2= 1/3 *π*5²*15 = 5³*π
3) whole volume
5³/3 *π + 5³*π=5³π(1/3+1)=((5³*4)/3)π=(500/3)π≈166.7π≈523.6

Area
we see 2 right triangles,
Area of the triangle=1/2*b*h, where b -base, h -height
1) small one, b=5, h=5
A1=(1/2)*5*5=25/2
2)large one, b=5, h=15
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3 years ago
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What number must you add to complete the square <br> x^2-20x=17
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(*)\ (a-b)^2=a^2-2ab+b^2



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