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Nezavi [6.7K]
3 years ago
13

Write an equation of the parabola in vertex form that passes through (-7, -15) and has vertex (-5, 9)

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0
The equation for the parabola would be: y=-6(x+5)^2+9
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Solve for x round to the nearest tenth. Show steps!
Dvinal [7]

Answer:

\large\boxed{x\approx56.44}

\large\text{It's close to 55.0}

Step-by-step explanation:

\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44

8 0
3 years ago
Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i
Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

\dfrac{4}{5}th of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = \dfrac{4}{5}th of total paint used

                 = \dfrac{4}{5}\times 6.3

                 = 5.04

White paint = Total paint used - Blue paint

                   = 6.3-5.04

                   = 1.26

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

5 0
2 years ago
What is the scale factor from polygon ABCD to polygon PQRS??
deff fn [24]

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image  becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image,  AD = 2 units.

It's corresponding side PS =  3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

7 0
3 years ago
What is the value of 3ab+<br>5b - 6 when a = - 1and b = 3​
Fantom [35]

Answer:

the answer is 0

4 0
2 years ago
Read 2 more answers
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0
2 years ago
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