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kondor19780726 [428]
3 years ago
9

Write the function in standard form F(x)=-3(x-6)^2+15

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

(6,15)

Step-by-step explanation:

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Is my answer correct??
Ivanshal [37]

Answer: Last option.

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you have the Right triangle EFH  given in the picture attached.

You can notice that FG goes from the vertex of right angle (\angle F=90\° ) to the hypotenuse EH. Therefore, it divides the hypotenuse into two segments. These are:

EG and GH

Therefore, FG is the geometric mean of the segments EG and GH.

6 0
3 years ago
what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form
Andrews [41]

Answer:

<u>m = 0</u>, y = -6

Step-by-step explanation:

using point slope form :

y - y_{1} = m(x - x_{1})

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0
3 years ago
Which point could not be part of a function that includes (3,-1),(4,2),(5,4),(-2,0),and ( 8,-3)
Triss [41]
(3,-1)

Use the V.L.T (Vertical Line Test) and plot the graph points, if you can draw a straight line through any points it cannot be a function.
3 0
4 years ago
The ordered pair(5,-3) is a solution to which of the following inequalities?
Dmitrij [34]

A plumber worked 26 hours a week for half a year. If his hourly wage was $40, how much did he earn during this time period?

<span> <span>A.</span>$1040</span><span> <span>B.</span>$27,040</span><span> <span>C.</span>$54,080</span><span> <span>D.</span><span>$520</span></span>
7 0
3 years ago
Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro
Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute:

x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6

Hence,

y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20

The slope of the line is -3.5 and it represents that  the distance Rachel covers per hour is 3.5 miles.

8 0
4 years ago
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