MATHEMATICS HIGH SCHOOL

Find mAC.

Pls help me
Find mAC. Pls help me - 1

Answers

Answer 1
Answer:

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

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Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply.A.The domain is all real numbers.
B.The range is all real numbers greater than or equal to 1.
C.The y-intercept is 3.
D.The graph of the function is 1 unit up and 2 units to the left Efrom the graph of y = x2.
F.The graph has two x-intercepts.

Answers

This is a polynomial function called Quadratic Function. This is written as:

f(x)=(x+1)^2+2

Recall that the graph of a quadratic function is a special type of U-shaped curve called parabola. The graph of this function is shown in the Figure below. From that, we can say the following:

A. The domain is all real numbers.

This is true. In fact, the domain of any polynomial function is the set of all real numbers.

B. The range is all real numbers greater than or equal to 1.

This is false. Instead, the range is all real numbers greater than or equal to 2, that is the y-coordinate of the vertex.

C. The y-intercept is 3.

This is true. We can find the y-intercept letting x=0, so:

x=0 \n \n y-intercept \rightarrow f(0)=(0+1)^2+2=3

D. The graph of the function is 1 unit up and 2 units to the left from the graph ofy=x^2

This is false. The correct statement is that the graph of the function is 2 units up and 1 unit to the left from the graph of y=x^2

E. The graph has two x-intercepts.

This is false. As shown the graph below, this function does not have any x-intercept

Answer:

A and C

Step-by-step explanation:

Fitness Explosion charges $26 per month for a membership. Fitquest charges $15 per month plus a $55 initiation fee for membership. After how many months will the total amount paid to the two fitness clubs be the same?A. 2 months
B. 3 months
C. 5 months
D. 6 months

Answers

So after one month, FE (fitness explosion) costs $26 and Fitquest is $70; two months it's FE = $52, FQ = $85; three months it's FE = $78, FQ = $100; four months FE = $104, FQ = $115; five months FE = $130, FQ = $130. So answer C. 5 months is correct.

Answer: 5 months

Step-by-step explanation: got the question right

A worker earns 6.25 per hour for how many hours would the worker have to work to earn 400

Answers

Amount earned in one hour : 6.25

Amount needed to earn : 400

So, number of hours required for earning the required amount :
= Needed amount/Amount earned in an hour
= 400/6.25 = 64

Ok what next helppp i need 2

Answers

Answer:

3-2

Step-by-step explanation

Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.y = –2x + 4

6x + 3y =


A: –12

B: –4

C: 0

D: 4

E: 12

Answers

For this case we have the following system of equations:

Rewriting equation 1 we have:

Therefore, the equivalent system is:

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

12

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

 Given a system of equation y = –2x + 4  and 6x + 3y = ?

We have to check for which value the '?'  would result in a system of equations with no solution.

Consider a system of equation  a_1x+b_1y+c_1=0 \n\na_2x+b_2y+c_2=0

For the system to have no solution the condition is,

(a_1)/(a_2)=(b_1)/(b_2)\neq (c_1)/(c_2)

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4   ⇒ 2x +y - 4 = 0  

and 6x + 3y = v ⇒  6x + 3y - v =0

On comparing, we get,

a_1=2 , b_1=1,c_1=-4\n\n\a_2=6,b_2=3,c_3=-v

Substitute the values in condition for no solution , we get ,

(2)/(6)=(1)/(3)\neq (-4)/(-v)

Consider second and third ratio, we get,

(1)/(3)\neq (-4)/(-v)

Solve for v , we get,

(1)/(3)\neq (-4)/(-v) \n\n \Rightarrow v \neq 12  

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

Ellason wants to solve the following system using the elimination method: 5x + 2y = 30
x + y = 8

What number should the equation x + y = 8 be multiplied by to eliminate y?

Answers

5x + 2y = 30
x + y = 8

when multiplying an equation every term is multiplied
eg:
x + y = 8 //multiply by 3
3*x + 3*y = 3*8
3x + 3y = 24

in elimination method two equations are added when there are oposite coefficients of chosen variable

5x + 2y = 30 coefficient of y is 2
x + y = 8 //multiply by -2

5x + 2y = 30
-2x - 2y = -16
-------------------- sum
5x-2x+2y-2y=30-16
3x = 14  //y has been eliminated (elimination method)

answer: the number is -2


Solutions 

1) Multiply the 2nd row by 5

5x+2y=30

5x+5y=40 

2) Subtract the 2nd row from the 1st row

−3y=−10 

3) Solve for the variable y in the above equation

⇒ Solve for y

−3y=−10 

⇒ Divide both sides by −3

y=−10 / −3

⇒ Simplify 10 / −3 to −10 / 3

y=10 / 3 

4) Substitute y=10 / 3 into any of the two equations above.Let's pick the first equation 5x+2y=30. 

5x+2× 10 / 3 = 30 

5) Solve for x in the above equation  

(there are more steps but the answer is below) 

x=14 / 3 

Therefore,

x=14 / 3 

y=10 / 3
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