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Sophie [7]
3 years ago
9

1.) Which function in vertex form is equivalent to f(x) = x2 + x +1?

Mathematics
1 answer:
Gwar [14]3 years ago
5 0
Hello,

Answer C

x²+x+1=(x²+2*1/2*x+1/4)+1-1/4=(x+1/2)²+3/4


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Question 2 help please
m_a_m_a [10]

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

  • In any triangle, the sum of the measures of its interior angle is 180°
  • In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

6 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times
prohojiy [21]

Answer:

{36, 66, 78}

Step-by-step explanation:

Let the measures of the three angles be f, s and t, for first, second and third.  Then s + t = 4f, t = 12 + s, and f + s + t = 180.

Subbing 12 + s for t in the first equation, we get s + 12 + s = 4f.

Subbing the same in the third equation, we get f + s + 12 + s = 180

This results in two equations in two unknowns (f and s):

2s - 4f = -12

2s  + f  = 168.

Let's eliminate s by subtracting the first of these two equations from the second.  Doing so yields 5f = 180.  Then the first angle, f, or x, is 36.

Then, from 2s + f = 168, we get 2s + 36 = 168, or 2s = 132.  Thus, the second angle is s = y = 66.

The sum of the three angles must be 180.  Thus, 36 + 66 + t = 180, or

102 + t = 180, or t = z = 78.

The three angles are

{36, 66, 78}.

3 0
3 years ago
How can we write x+x+5+5 in 2 different ways​
coldgirl [10]

Answer:

x + 5 + x + 5

5 + 5 + x + x

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Helppp please its a quiz
Vesna [10]
It’s b hope you get a good grade on the test
5 0
3 years ago
When Meriden made a cake she used a recipe calling for 3/4 cup of sugar. She was planning to make a huge cake for a family get-t
soldi70 [24.7K]
Meriden would need 2 1/4 cups of sugar because 3*3/4=2 1/4
8 0
3 years ago
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