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algol [13]
3 years ago
15

What is the vertex form of the equation?

Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

- (x - 6)^2 + 32

Step-by-step explanation:

-x^2 + 12x- 4

= - (x^2 - 12x) - 4

= - [(x - 6)^2 - 36) - 4

= -(x - 6)^2 + 32

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Please help with this question
Vera_Pavlovna [14]
This would be the equation:

Y= 5/2x+5

I hope I've helped!
7 0
3 years ago
Read 2 more answers
An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolu
mario62 [17]

Answer:

Absolute error = 39

Percent Error = 6.10%

Step-by-step explanation:

Actual value = 639 pounds

Observed Value = 600 pounds

The formula to find absolute error is:

Absolute Error = Actual value - Observed Value

                        = 639 - 600

                        = 39

The formula to find Percent error is:

Percent Error = (Actual value - Observed Value / Actual value)*100

                       = (639 - 600/639)*100

                       = 6.10%

                 

7 0
2 years ago
Read 2 more answers
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
What are the opposites of 3, 7.5 and -2 2/3?
kirill115 [55]
-3,-7.5,2 2/3 are the opposites of those numbers
5 0
3 years ago
Y=3x+13<br> 2x=y-9<br> Solve for x and y points using addition method
GrogVix [38]
y=3x+13 \\&#10;2x=y-9 \ \ \ |-y-2x \\ \\&#10;y=3x+13 \\&#10;\underline{-y=-2x-9} \ \ \ \hbox{add the sides} \\&#10;y-y=3x-2x+13-9 \\&#10;0=x+4 \\&#10;x=-4 \\ \\&#10;y=3x+13=3 \times (-4)+13=-12+13=1 \\ \\&#10;\boxed{(x,y)=(-4,1)}
6 0
3 years ago
Read 2 more answers
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