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iren [92.7K]
3 years ago
12

What is the first step when rewriting y=6x^2+18x+14 in the form y=a(x-h)^2+k?

Mathematics
1 answer:
Grace [21]3 years ago
7 0
<h3>Answer:</h3>

Factor 6 from the first two terms.

<h3>Step-by-step explanation:</h3>

By factoring out "a", you can better see what "h" needs to be.

  1. y = 6(x^2 +3x) +14 . . . . 6 factored from first 2 terms
  2. add the square of half the x-coefficient inside parentheses; add the opposite outside: y = 6(x^2 +3x +2.25) +14 -6(2.25)
  3. rewrite as a square; combine the constants: y = 6(x+1.5)^2 +0.5

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One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Ugo [173]

Answer:

about 11.5 cm.

Step-by-step explanation:

I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.

8^2+b^2=14^2 simplified: 64+b^2=196

Then, I subtracted 64 on both sides, so I would have "b" by itself.

b^2=132

Next, I found the square root of both b^2 and 132, so I would find the true value of "b."

b=11.4891252931

So, the measure of the other leg rounded to the nearest tenth is about 11.5.

3 0
3 years ago
Select all the equations on which the point (10, 0) lies.
hjlf

Answer:

A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20

5 0
3 years ago
Should the temperature of an oven increases as heat is added to it should it be represented with discrete data or not why
Colt1911 [192]

Answer:

Cooking is the application of heat to ingredients to transform them via chemical and physical reactions that improve flavor, reduce chances of foodborne illness, and increase nutritional value. so, yes the oven should increase heat as its been added.

hope this helps!:)

Step-by-step explanation:

6 0
3 years ago
COMBINE LIKE TERMS TO CREATE AN EQUIVALENT EXPRESSION!
d1i1m1o1n [39]

Answer:

0.25k + 1.5 - k - 3.5 = -0.75k - 2.

Step-by-step explanation:

6 0
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Here are the records of two different sequences (A,B ) of a coin tossed eight times. A: T H H H H H H H B: H T T H T H H T If yo
ser-zykov [4K]

Answer: Sequence B is more probable than A.

Step-by-step explanation:

This two sequences are not equally probable. Sequence B is more probable than A due to the equal chances of getting head (H) and a tail (T). The probability of getting a head is equal to the probability of getting a tail which is 4/8 i.e 0.5

The sequence A is less probable because the head(H) occur more than tail (T). The probability of head occurring is almost a sure event i.e 1 which is not feasible.

6 0
3 years ago
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