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rosijanka [135]
3 years ago
15

Geometry PLS HELP due soon

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

(3) x = 7.5 and y = 51

(4) x = 6

Step-by-step explanation:

Question 3

Required

Solve for x and y

We have:

16x - 18 + 10x +3 = 180 --- angle on a straight line

Collect like terms

16x  + 10x = 180 + 18 - 3

26x = 195

Solve for x

x = 195/26

x = 7.5

Also:

16x - 18 = 2y ---- opposite angles

So, we have:

16 * 7.5 - 18 = 2y

120 - 18 = 2y

102 = 2y

Divide by 2

51 = y

y = 51

Question 4:

Required

Solve for x

We have:

11x - 2 + 5x - 4 = 90 ---- angle at right-angled

Collect like terms

11x + 5x = 90 +2 + 4

16x = 96

Divide by 16

x = 6

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Answer:

the last option hope this helps

Step-by-step explanation:

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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
True [87]
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16 

Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84

So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35

So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
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What are the answers being provided ?
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(-47) - 33 ÷ (-3) - 3 × (-7)
miss Akunina [59]
The answer is -37, Hope that helped!
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