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jenyasd209 [6]
3 years ago
6

Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0 x equals negative b plus or minus the square root of b squared minus 4

times a times c, all over 2 times a
A.x = 2

B.x = 1

C.x = 0

D.x = −1
Mathematics
1 answer:
Jet001 [13]3 years ago
4 0

The answer is D. x= -1

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A 40-foot y’all monument sits on top of a hill. Eye is standing at a point on the hill and observes the top of the monument at a
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Answer:

  54.8 feet

Step-by-step explanation:

We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram  below.

This can be found using the Law of Sines.

∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.

∠MPH is the difference in the angles of elevation, so is 28°.

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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...

  PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)

Multiplying by MH, we can find the length of PH:

  PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft

  PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.

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Which number is irrational?
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The square root of 3

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Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12
barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0
3 years ago
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