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Anon25 [30]
2 years ago
15

Solve for the given variable.​

Mathematics
1 answer:
Andrej [43]2 years ago
8 0

Answer:

C= 50°+ 31°( exterior angle)

C=81°

D+45°+96°=180°(the sum of angles in a triangle)

D=180-45°-96°

D=39°

h+52°=76°( exterior angle)

h=76°-52°

h=24°

f+32°=66°( exterior angle)

f=66°-32°

f=34°

r+45°+35°=180°(the sum of angles in a triangle)

r=180-45°-35°

r=100°

n+33°=80°( exterior angle)

n=80°-33°

n=47°

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Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote
xz_007 [3.2K]

Answer:

x=-2.5 if the function is f(x)=\frac{8x-3}{-4x-10}

Step-by-step explanation:

y=\frac{8x-3}{-4x-10} has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

or

x=-2.5  (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

5 0
3 years ago
Please help! 20 points + brainliest
klemol [59]

For the first one we divide every element by sqrt3

we get

q+2/sqrt3 =sqrt5/sqrt3

q=(sqrt5-2)/sqrt3

q=sqrt3*sqrt5-2*sqrt3/3

q=sqrt15-2sqrt3/3

which is the third option

For the second one

sqrt(2y-5) +4=8

first we move the 4 to the right

sqrt(2y-5)=4

we remove the square root by bringing to the power of two

2y-5=16

2y=21

y=21/2

y=10 1/2

third option

7 0
3 years ago
One half of the sum of 7 and F minus the product of 6 and Q?
ankoles [38]
This is how you would write the statement:
\frac{1}{2}(7+F)-(6*Q)

You could also write it like this, if the one-half applies to everything:
\frac{1}{2} ((7+F)-(6*Q))
8 0
3 years ago
Sara wants to buy a necklace. The necklace has a list price of $41, and the sales tax is 6%. What will be the cost of the neckla
Harman [31]
$43.46

41 x .06 = 2.46

41 + 2.46 = 43.46
8 0
3 years ago
Determine the equation of the vertical line that passes through (9, -7)​
frosja888 [35]

Answer:

x = 9

Step-by-step explanation:

For a vertical line, slope is undefined as tan π/2 is undefined. Therefore we cannot express the equation of straight line in terms of it's slope.

For a vertical line, equation is given by, x = c where c is the point on x axis from which the given line passes.

Therefore x = 9 is the equation.

3 0
2 years ago
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