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e-lub [12.9K]
3 years ago
9

Given ​ f(x)=x2+8x+13 ​. Enter the quadratic function in vertex form

Mathematics
2 answers:
xenn [34]3 years ago
6 0

Answer:

Step-by-step explanation:

f(x)=x²+8x+13 ​

f(x) = (x²+8x+16) -16+13

f(x) = (x+4)²- 3......vertex form

.

amm18123 years ago
5 0

Answer:

assuming x2 is x^2:

f(x) = (x+4)^2 - 3

Step-by-step explanation:

1. move c to f(x) side

2. make sure a=1

3. (b/2)^2

4. add the solution of 3 on both sides

5. factor the right side using the shortcut

6. add c back to the other side

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Please help me and answer with work! Due tomorrow!​
ELEN [110]

Answer:

Step-by-step explanation:

a.

The angles given are 62° and 90°.

We know sum of angles in any triangle is 180° so the third angle must be 180-90-62 = 28°

We can find the sides if we know trigonometric functions

sin28° = opp. side/ hypothenuse = CA/BA = 8/BA

BA = 8/sin 28° ≈ 17

tan62°= opp.side/adj.side= BC/AC = BC/8

BC = 8 · tan62° ≈ 15

b.

We are given 2 sides 8.5 and 6.5 and that one angle is right, so the triangle is a right triangle, therefore we can apply Pythagorean Theorem to find the third side.

6.5² +FD² = 8.5², subtract 6.5² from both sides

         FD² = 8.5²- 6.5², square and combine like terms

         FD² = 30, square-root both sides

          FD = √30

          FD ≈ 5.47722, round to the nearest tenth

          FD ≈ 5.5

We can find the angles if we know trigonometric functions.

sin ∡D = FE/DE = 6.5/8.5

     ∡D = sin^-1 (6.5/8.5)

    ∡D ≈ 49.9°

cos ∡E = FE/DE = 6.5/8.5

      ∡E = cos^-1 (6.5/8.5)

      ∡E ≈ 40.1°

6 0
2 years ago
What is 5/4 simplified?
Georgia [21]

Answer: 1 1/4

Step-by-step explanation:5/4 is an improper fraction so it can not be simplify aymore but you can write it as a mixed number. 5/4 as an improper fraction is 1 1/4 .

Hope it helps :)

6 0
3 years ago
Suppose y varies directly with x, and y = 24 when x = 8. What is the value of y when x = 10?
Solnce55 [7]
First, you want to set up a proportion.

8/24 = 10/y

Cross multiply to get

240 = 8y, then divide 8 from both sides to get y = 30.
6 0
3 years ago
Read 2 more answers
What is the volume of this cube?
poizon [28]

Answer:

1 cubic ft

Step-by-step explanation:

Volume = Length × width × height

= 1 × 1 × 1

= 1

3 0
3 years ago
Read 2 more answers
Please help will give brainliest
Ostrovityanka [42]

Answer:

1、\frac{-26}{1}=-26

2、-4

3、\frac{11}{2}

4、-\frac{8}{11}

5、At direct x equals 17, there's no slope

6、0

7、\frac{15}{14}

8、-\frac{12}{30} =-\frac{2}{5}

Step-by-step explanation:

In point-slope form, it takes about 3 seconds per problem

7 0
2 years ago
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