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Veseljchak [2.6K]
1 year ago
12

Write an equation for the parabola who’s vertex is at (3,6) and which passes through (4,4)

Mathematics
1 answer:
Gekata [30.6K]1 year ago
4 0

Problem

Solution

For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:

y= a(x-h)^2 +k

Where h = 3, k=6 and replacing we have:

y= a(x-3)^2 +6

And we can find the value of a with the point given x= 4, y=4

4= a(4-3)^2 +6

4= a +6

a= 4-6=-2

And the correct equation would be:

d. y= -2(x-3)^2 +6

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Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
vivado [14]

Answer:

Step-by-step explanation:

A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.  

4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

8 0
3 years ago
-8 - (-15) + 30 equals​
Phantasy [73]

The answer to your problem is 11

8 0
3 years ago
Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next tes
yulyashka [42]

Answer:

he needs to get a 91 to have a mean score of 90

Step-by-step explanation:

add up all the known scores to get 629

let 's' = lowest test score

(629 + s) ÷ 8 = 90   [we divide by 8 because there are 7 known and 1 unknown score)

cross-multiply to get:

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4 0
3 years ago
Do i begin with division first?
lara31 [8.8K]
Use PEMDAS. Division comes before addition. start with 9/25 ÷ 18/15. You will divide those like you would normally divide a fraction, so yes, do the inverse of 18/15 and multiply that by 9/25. after you've done that, take that answer and add the 5/8 to it.
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5 0
3 years ago
Read 2 more answers
IT'S URGENT PLEASEE<br><br> What is the slope of a line perpendicular to the line 2y = 3x - 10?
belka [17]
<h3>Answer:  perpendicular slope is -2/3</h3>

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

Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

5 0
3 years ago
Read 2 more answers
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