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ValentinkaMS [17]
3 years ago
6

Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

use phototmath

Step-by-step explanation:

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PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
marissa [1.9K]

Answer:

53°

Step-by-step explanation:

It is given that the total measurement of the two angles combined would equate to 116°.

It is also given that m∠WXY is 10° more then m∠ZXY.

Set the system of equation:

m∠1 + m∠2 = 116°

m∠1 = m∠2 + 10°

First, plug in "m∠2 + 10" for m∠1 in the first equation:

m∠1 + m∠2 = 116°

(m∠2 + 10) + m∠2 = 116°

Simplify. Combine like terms:

2(m∠2) + 10 = 116

Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

2(m∠2) + 10 (-10) = 116 (-10)

2(m∠2) = 116 - 10

2(m∠2) = 106

Next, divide 2 from both sides of the equation:

(2(m∠2))/2 = (106)/2

m∠2 = 106/2 = 53°

53° is your answer.

~

8 0
2 years ago
Read 2 more answers
What is the value of x?<br><br>enter your answer in the box<br><br>X__​
vfiekz [6]
<h3>Answer: x = 5</h3>

=====================

Work Shown:

Angle Bisector Theorem

9/(2x-1) = 15/3x

9*3x = 15(2x-1) ... cross multiply

27x = 30x-15

27-30x = 30x-15-30x ... subtract 30x from both sides

-3x = -15

-3x/(-3) = -15/(-3) .... divide both sides by -3

x = 5

6 0
3 years ago
Nico has conducted an observational study to learn about how different personal experiences affect car purchases. Nico surveyed
Elanso [62]

Answer:

B

Step-by-step explanation:

i got asked the same question and i got it right

8 0
3 years ago
Read 2 more answers
A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 5 in. deep.
madreJ [45]

Answers:

(1 Question in written form): 7.2 inches.

(2 Question in the picture): Option (D) (y+1)^2=2(x+3) and  F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

Explanations:

1. (Question in written form):

First you need to know the standard form of a parabola (considering it opens in +x direction and the vertex of the parabola is at origin), which is as follows:

(y-k)^2 = 4p(x-h)

Since the vertex of the parabola is at origin, h = 0 and k = 0. The above equation will now become:

y^2 = 4px ---- (A)


Where p is the distance between the vertex and the focus of a parabola, which we need to find (or where the microphone should be placed).

As the vertex is assumed to be placed at the origin, the parabolic dish, which is 24 inches wide, will be split evenly on both sides of the y axis (as the opening of the parabola is in x-axis—stated above), giving the distance of 12 inches from each sides of y axis (12 inches + 12 inches = 24 inches). Since it (parabolic microphone) is 5 inches deep, the coordinates will become: (5, +12) and (5, -12).

Plug any of the points—(5,+12) or (5,-12)—in equation (A), you will get the following:

(12)^2 = 4p(5) \\ 144 = 4p(5) \\ \frac{144}{5} = 4p \\ \frac{144}{5*4} = p \\ p=7.2\thinspace inches

Hence, the correct answer is 7.2 inches.


2. (Question in the picture):

First we need to write the following equation in the standard form:

y^2 - 2x + 2y -5 = 0 ----- (B)


The standard form of parabola is:

(y-k)^2 = 4p(x-h) ----- (C)


Rearrange equation (B) and solve as follows:

y^2-2x+2y-5=0 \\ y^2 + 2y - 5 = 2x \\ y^2 + 2y +1 = 2x + 6 \\ y^2 + y + y + 1 = 2(x+3) \\ y(y+1)+1(y+1)=2(x+3)\\(y+1)^2=2(x+3)

You can write the above equation as follows:

(y-(-1))^2 = 4(\frac{1}{2})(x-(-3)) ----- (D)

Now compare equation (D) with (C), we will get:

Focus = (h+p, k) = (-3+(1/2), -1)

Focus: (\frac{-5}{2},-1)


Now, to find x, use the following formula:

x = h - p

x = -3-\frac{1}{2} = \frac{-7}{2}


Hence, the correct option is (D) -> F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

4 0
2 years ago
What is a three digit number whose digits add up to 20
Andrew [12]
956
no restrictions right? it could be anything 
6 0
2 years ago
Read 2 more answers
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