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sveticcg [70]
1 year ago
7

HELP DUE TOMORROW GUYS

Mathematics
1 answer:
kakasveta [241]1 year ago
6 0

Answer:

x = 15

Step-by-step explanation:

8x + 9 and 51 are same- side interior angles and sum to 180° , then

8x + 9 + 51 = 180

8x + 60 = 180 ( subtract 60 from both sides )

8x = 120 ( divide both sides by 8 )

x = 15

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Which values are solutions of the inequality 6 x + 4 < 22 ? Select two answers.
zubka84 [21]

Answer: D and E

Step-by-step explanation:

To find this answer we want to get x by itself in the equation.

6x + 4 < 22

6x < 18

x < 3

So according to this the value of x has to be less than 3.

You can check your answer by substituting the values in for x.

6(0) + 4 < 22

4 < 22 is True

6(2) + 4 < 22

16 < 22 is True

6(3) + 4 < 22

22 < 22 False!

8 0
3 years ago
What is the equation of the axis of symmetry for the function shown below?
Gennadij [26K]

Answer:

x=2

Step-by-step explanation:

The axis of symmetry can be calculated using the following formula:

Xv= \frac{-b}{2a}

In order to use this formula, we need to have the function written in it's polynomial formula:

f(x)=ax^{2} +bx+c

In order to do so, we have to isolate Y from the excercise's formula.

y=-2(x-2)^2-5

Then we resolve the square of the binomial knowing that (a+b)^2=a^2+2.a.b+b^2

(x-2)^2= x^2+2.x.(-2)+(-2)^2

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

Now we have that:

y=-2.(x^2-4x+4)-5

y=-2x^2+8x-8-5

y=-2x^2+8x-13

As we have now the polynomyal formula, we know that a=-2, b=8 and c=-13. We supplant on the formula and get:

Xv= \frac{-b}{2a}

Xv= \frac{-8}{2.(-2)}

Xv= \frac{-8}{-4)}

Xv= 2

4 0
4 years ago
41/6 expressed as mixed fraction​
pochemuha
6 5/6 is your answer

6 can go into 41, 6 times giving you 36. Then you subtract 41 and 36 which will give you the remaining number which is 5. You then take the 5 and out it over 6.

8 0
3 years ago
Read 2 more answers
Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)
GrogVix [38]

Answer:

2, sqrt of 7633

Step-by-step explanation:

for now, we'll leave the 3rd side as x

y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.

1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid

2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633

6 0
3 years ago
Select the correct answer.
kap26 [50]

Answer:

The answer to your question is the letter C

Step-by-step explanation:

To answer this question just look at the graph, the solution to the system of the quadratic equation and the linear function, are the points where these function cross.

The first point where these functions cross is Point C

The second point where these functions cross is Point E

5 0
3 years ago
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