MATHEMATICS HIGH SCHOOL

What is the line symmetry for the graph of y= -3x^2+12x-11

Answers

Answer 1
Answer:

Answer:

The line of symmetry is x=2

Step-by-step explanation:

Given:y=-3x^2+12x-11

We are given a quadratic equation and to find the line of symmetry.

As we know the line of symmetry of parabola passes through the x value of vertex.

If vertex of parabola is (h,k) then equation of line of symmetry x=h

So, first we find the vertex of parabola.

For equation: y=ax^2+bx+c

x=-(b)/(2a)

For given equation, a=-3 and b=12

Therefore, x=-(12)/(2(-3))

x=2

Hence, The line of symmetry of given parabola is x=2
Answer 2
Answer: The answer to your question is x=2. what you want to do is find both the x values for your quadratic equation and then add them and divide by 2.

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The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How far do riders travel on the lift? Round your answers to the nearest whole number.

Answers

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =(Perpendicular)/(Hypotenuse)

Sin22.3^(\circ) =(AB)/(AC)

AC=(2600)/(Sin22.3^(\circ))

AC=(2600)/(0.379456159529)

AC=6851.9

So, riders travel 6852 feet .
The y distance of this problem is 2600 with an angle of elevation of 22.3 degrees. This angle is measured from the horizontal. This problem is solved using the Pythagorean theorem where 2600 is the opposite and we are to solve the hypotenuse. It is solved by the equation sin(theta) = opposite /hypotenuses. Plug in the given and the answer is 6852 feet. 

Price Cutter sold 85 beach towels for $6.95 each. What were the totalsales?
a. $865.84
b. $186.19
c. $90.35
d. $590.75

Answers

Answer:

D. $590.75

Step-by-step explanation:

Multiply 85 by the price of the towels($6.95) to find the total cost.

Answer:

[See Below]

Step-by-step explanation:

✦ Multiply:

  ✧ 85 x 6.95$ = 590.75$

So the total sales were 590.75$, D.

~Hope this helps Mate. If you need anything feel free to message me.

What is 16-(-)24+4 and does it equal 44

Answers

Answer:

yes, it equals 44

Step-by-step explanation:

16-(-)24+4=44

Answer:

it is 44

Step-by-step explanation:

2 minus's right by each other turn into a plus sign.

In ΔABC, which trigonometric ratio equals 32?A. sin B
B. tan B
C. tan C
D. sin C

Answers

If trigonometric ratio equals 3/2 then answer:

C. tanC = |AB|/|AC| = 3/2

Solve for y y ^ (2/3) = 4

Answers

Answer:

y = 8, −8

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

What is the equation in point−slope form of the line passing through (2, 2) and (4, 8)?(y − 2) = 3(x − 2)
(y + 2) = 3(x + 2)
(y − 8) = −3(x − 4)
(y + 8) = −3(x + 4)

Answers

Hello,

1) y-8=(8-2)/(4-2)(x-2) ==>y-8=3(x-2) (not in answer!)

2) y-2=3(x-2) ==> Answer A.
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