Which equations are true for x = –2 and x = 2? Check all that apply.A.x2 – 4 = 0
B.x2 = –4
C.3x2 + 12 = 0
D.4x2 = 16
E.2(x – 2)2 = 0

Answers

Answer 1
Answer: А. х²-4=0; х²=4; х=±2, true. B. x²=-4; there is no solution. C. 3x²+12=0; 3x²=-12; x²=-4; there is no solution. D. 4x²=16; x²=4; x=±2, true. E. 2(x-2)²=0; 2(x²-4x+4)=0; 2x²-8x+8=0; x²-4x+4=0; x1=2; x2=2. False. The answer: A, D.

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Round 20045 to 4 significant figures.

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle? A.19° B. 57° C.71° D.76°

Answers

A. is the answer. I just took the test

A parallelogram has symmetry with respect to the point of intersection of its diagonals. True or false

Answers

Answer;

The above statement is true

Explanation;

-It is true that a parallelogram has symmetry with respect to the point of intersection of its diagonals.

-A parallelogram is a quadrilateral that has 2 pairs of parallel sides. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

It is true that a parallelogram has symmetry with respect to the point of intersection of its diagonals.

In the figure below, points A, B, and C are on a straight line. What is the measure of angle DBE

Answers

Answer:

<DBE = 120

Step-by-step explanation:

A straight angle (ABC) has 180 degrees.

20 + 40 + x = 180                   Combine the left

60 + x = 180                           Subtract 60 from both sides.

60-60 + x = 180 - 60

x = 120

I

a college graduate expects to earn a salary of 50000 during the first year after graduation and recieive a 3% raise every year for 10 years

Answers

50,000(1.03)^10=Y is the equation you would use to solve this, and this is how to solve it:

50,000(1.03)^10
50,000(1.34)
67,000

so his salary after 10 years will be $67,000.00

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (2, 5), (6, 1), (4, –1)

A.
(0, 2)

B.
(0, 3)

C.
(1, 3)

D.
(1, 4)

Answers

The distance between (2,5) and (6,1) is:

\sf Distance = √(\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2) \n\n  =√( 16 + 16) \n  \n = \boxed{\bf{4 √( 2 ) }}

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

\sf Distance = √(\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2) \n \n= √( 16 + 16) \n  \n = \boxed{\bf{4 √( 2 ) }}

Your final answer is B. (0,3)

in local theaters showing an animated movie they charge $5 per ticket for a child and $12 per ticket for an adult they sell a total of 342 tickets and make a total of $2,550 we want to try to find out how many of each type of ticket they so let C represent the number of children tickets sold and A represent the number of adult tickets to write an equation that represents the fact that 342 tickets were sold also write an equation representing the fact that they made it to a total of 2550 also solve the system you created in A & B by the method of elimination

Answers

Answer: C=222 and A =120

Step-by-step explanation:

Let C be the number of children tickets and A be the number of adult tickets.

Then, According to the question, we have the following system:-

C+A=342........................(1)\n5C+12A=2550........................(2)

Multiply equation (1) by 5 on both sides ,we get

5C+5A=1710..........(3)

Eliminate equation (3) from equation (2), we get

7A=840\n\Rightarrow\ A=120

Substitute the value of A in (1), we get

C+120=342\n\Rightarrow\ C=222

Hence, the number of children tickets sold = 222 and the number of adult tickets sold =120

C+A=342
$5C+$12A=$2,550

5C+5A=1710
5C+12A=2550
-7C=-840
C=120

5(120)+12A=2550
600+12A=2550
12A=1950
A=163