Angle 1 and angle 2 are a linear pair. Measure of angle 1 = x-36, and measure of angle 2 = x+84. Find the measure of each angle.

Answers

Answer 1

Answer: angle1 + angle2 = 180°(because they are a linear pair)
or, (x-36) + (x+84) = 180
or, x - 36 + x + 84 = 180
or, 2x + 48 = 180
or, 2x = 180 - 48
or, 2x = 132
or, x = 132/2
therefore, x = 66
angle1 = (x - 36) = 66-36 = 30°
angle2 = (x+84) = 66+ 84 =150°

Answer 2

Answer: linear pair means supplementary so
x-36+x+84=180
2x+48=180
2x=132
x=66
Therefore angle 1 is 30 while angle 2 is 150

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?2feet

16 feet

32 feet

64 feet

Answers

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function $f(x) = -16(x-2)^2 + 64$ represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

$f(x) = -16(x-2)^2 + 64$

Derivate w.r.t x

$f'(x) = -16* 2(x-2)+0$

$f'(x) = -32(x-2)$

To find maxima put $f'(x)=0$

$0= -32(x-2)$

$32x=64$

$x=2$

Now, we find the second derivative form maximum,

$f''(x) = -32<0$

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

$f(2) = -16(2-2)^2 + 64$

$f(2) = -16(0)+ 64$

$f(2) = 64$

Therefore, Option D is correct.

The maximum height the ball reaches is 64 feet.

Answer:

Step-by-step explanation:

Find the value of 4x^2– 2y when x = 3 and y = 2.

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

Need help please!!!!!!!

Answers

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

$y=(x^2-1)/(x^2-4)\n\n(dy)/(dx)=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=2x^3-8x-2x^3+2x\n0=-6x\nx=0$

I believe it’s the last one
Mark brainliest if satisfied

Through: (4,2) parallel to -5x + 4y = 16

Answers

Answer:

Step-by-step explanation:

-5x+4y=16

-5x4y=16

-5*4*2

What is the solution set of {x | x < -3} ∪ {x | x > 5}

Answers

The union of two sets is defined as all elements that are members of both sets.

The first set evaluuates to (...,...,...-7,-6,-5,-4) and the second eveluates to (6,7,8,9,...,...).

There are no elements that belong to both sets so the solution is the empty set. {∅}

Another way is to think about it in words: "What number(s) are less than -3 and also greater than 5?" There are no numbers that fit both of these.

Solve the equation 4-2(x+7)=3(x+5) =

Answers

Hi there!

To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)

Let us solve your equation step-by-step.

Step 1) Simplify both sides of the equation.

To simplify this, we will...

4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)

4 + - 2x + - 14 = 3x + 15

(-2x) + (4 + - 14) = 3x + 15

Now, we combine Like Terms...

-2x + - 10 = 3x + 15

-2x - 10 = 3x + 15

Fwew! That was probably going to be the longest step here!

Step 2) Subtract 3x from both sides.

- 2x - 10 - 3x = 3x + 15 - 3x

- 5x - 10 = 15

Step 3) Add 10 to both sides.

- 5x - 10 + 10 = 15 + 10

- 5x = 25

Step 4) Divide both sides by -5.

-5x/-5 = 25/-5

So, our final answer is x = -5.

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

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