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KonstantinChe [14]
3 years ago
10

Find the value of x.

Mathematics
2 answers:
Marrrta [24]3 years ago
8 0
<h3>Answer: 14</h3>

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

Explanation:

The two angles shown are a linear pair. They are adjacent and supplementary.

Supplementary angles add to 180

(8x+1) + (4x+11) = 180

8x+1+4x+11 = 180

(8x+4x) + (1+11) = 180

12x+12 = 180

12x+12-12 = 180-12 ... subtract 12 from both sides

12x = 168

12x/12 = 168/12 ... divide both sides by 12

x = 14

Veronika [31]3 years ago
6 0

Answer:

x=14

Step-by-step explanation:

A line has 180 degrees, so add your two equations and set them equal to 180. Then all you have to do is solve for x.

180= 8x+1+4x+11

180= 12x+12

168=12x

14=x

If you want to find the answer for each angle, then just plug 14 in for x.

8(14)+1= 113

4(14)+11= 67

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Identify the vertex of y = x2 + 4x + 5.
Xelga [282]
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

y = {x}^{2} + 4x + {(2})^{2} - {(2})^{2} + 5

The first three terms forms a perfect square trinomial.

y = {(x + 2})^{2} - 4 + 5

The vertex form is

y = {(x + 2})^{2} + 1


This equation is in the form;

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


where (h,k)=(-2,1) is the vertex.
4 0
3 years ago
Read 2 more answers
Find the slope of the line graphed below
Korolek [52]

Answer:

Slope = 1

Step-by-step explanation:

(x1, y1) = (-5, -3)

(x2, y2) = (-1, 1)

(y2 - y1) / (x2 - x1) = (1 - -3) / (-1 - -5) = 4 / 4 = 1

Slope = 1

4 0
3 years ago
What is (a+2)(a+2) make sure to multiply
a_sh-v [17]

Answer:

a² + 4 a + 4

Step-by-step explanation:

( a + 2 ) ( a + 2 )

Expand brackets

a² + 2 a + 2 a + 4

Simplify

a² + 4 a + 4

7 0
3 years ago
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Translate the sentence into an equation. Four less than a number is 17. Which equation is correct?
lana [24]
Your answer would be x-4=17.
4 less than (#) is 17.

That number would be 21.

21-4=17

Hope that helps
6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
mixas84 [53]

    5x³ + 8x² - 7x - 6

1)

x + 2 is a factor because when using synthetic division, the remainder is zero.

-2  |  5    8    -7    -6

    <u>|  ↓   -10    4     6 </u>

       5   -2    -3     0  ← remainder is zero

2)

x + 2 is not a factor because when using synthetic division, the remainder is not zero.

-1  |  5    8    -7    -6

    <u>|  ↓  -5    -3     10 </u>

       5   3    -10    4  ← remainder is not zero


3 0
3 years ago
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