MATHEMATICS HIGH SCHOOL

Quadrilateral EFGH has coordinates E(a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of HG.A (2a, 0)
B (a, 2a)
C (a, a)
D (a, 0)

Answers

Answer 1
Answer: Midpoint of HG = ((0 + 2a)/2, (0 + 0)/2) = (2a/2, 0/2) = (a, 0)
option D is the correct answer.
Answer 2
Answer: Coordinates are: H ( 0, 0 ) and G ( 2 a, 0 ).
Coordinates of the midpoint are:
x  = ( x 1 + x 2  ) / 2
y = ( y 1 + y 2 ) / 2
The midpoint of HG:
x = ( 0 + 2 a ) / 2 = 2 a / 2 = a
y = ( 0 + 0 ) / 2 = 0 / 2 = 0
Answer:
D ) ( a, 0 ) 

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The points (-5, -14) and (4, r) lie in a line with slope 4. Find the missing coordinate r.
Find the dimensions of a rectangle with area 343 m2 whose perimeter is as small as possible.
How do I write the equations of lines through the given point parallel to the given line and perpendicular to the given line?
The distributive property states that the product of a term and a sum is equal to

The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?

Answers

Hope it helped

ThankYou

Travis took a taxicab from his office to a meeting on the other side of town. The cab ride cost $8.50 which includes a $2.00 tip. In deciman form, how far is it from his office to the meeting?

Answers

You do not have enough information to solve the problem:
The charge was $6.50 without the tip. You need to know the rate that the taxicab charges in order to solve this problem.

For example if the taxicab charged $1.30 per mile then the answer would be $6.50/$1.30 per mile = 5 miles

NEED HELP ASAP WILL MARK BRAINLIEST!!!!!!!!!What is the solution to the system of equations


-4x - 5y - z = 18
-2x - 5y -2z=12
-2x + 5y +2z=4

A) (4,0,2)
B) (-4,0,-2)
C) (-4,2,0)
D) (-4,0,2)

Answers

Answer:

B

Step-by-step explanation:

When we have multiple answers, we can check each to find the solution. Each ordered pair is written as (x,y,z). We substitute each into the equations to find which satisfy all equations and which do not.

A) (4,0,2)

-4(4)-5(0)-(2)=18

-16-0-2=18

-18\neq18

Not a solution

B) (-4,0,-2)

-4(-4)-5(0)-(-2)=18

16-0+2=18

18=18 is true. We now try the other equations.

-2(-4)-5(0)-2(-2)=12

8-0+4=12

12=12

We try the last equation.

-2(-4)+5(0)+2(-2)=4

8+0+-4=4

4=4

We no longer need to try C or D because a system of equations only has one solution. B is the solution.

Can someone please help me solve x + 0.018 = 9

Answers

subtract .018 from 9 to get the answer

9 - .018 = 8.982
Subtract 0.018 of both sides

x + 0.018 - 0.018 = 9 - 0,018

make de operations

x = 8.982

What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?

Answers

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

Solve the system of equations. 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9 Answer choices:a. x=116, y=8,z=-21
b. x=82, y=-10, z=9
c. x=-116, y=28,z=37
d. x=6,y=-14,z=1

Answers

5x + 9y + 9z =   5 ⇒ 5x +   9y +   9z =   5
4x + 9y + 6z = 10 ⇒ 4x +   9y +   6z = 10
2x + 2y + 5z =   9     9x + 18y + 15z = 15

5x + 9y + 9z =   5 ⇒ 4x +  9y +   6z = 10
4x + 9y + 6z = 10 ⇒ 2x +  2y +   5z =   9
2x + 2y + 5z =   9     6x + 11y + 11z = 19

9x + 18y + 15z = 15 ⇒ 99x + 198y + 165z = 165
6x + 11y + 11z = 19 ⇒ 90x + 165y + 165z = 285
                                                    9x + 33y = -120

5x + 9y + 9z =   5 ⇒ 5x + 9y + 9z =   5
4x + 9y + 6z = 10 ⇒ 4x + 9y + 6z = 10
2x + 2y + 5z =   9 ⇒ 1x + 0y + 3z = -5

5x + 9y + 9z =   5 ⇒ 4x + 9y + 6z = 10
4x + 9y + 6z = 10 ⇒ 2x + 2y + 5z =   9
2x + 2y + 5z =  9      2x + 7y + 1z =   1

1x + 0y + 3z = -5 ⇒ 1x +   0y + 3z = -5
2x + 7y + 1z =  1 ⇒ 6x + 21y + 3z =  3
                                        -5x - 21y = -8

 9x + 33y = -120 ⇒ 63x + 231y = -840
-5x - 21y =     -8 ⇒ -55x - 231y =   -88
                                             8x = -928
                                              8        8
                                               x = -116
                                   -5x - 21y = -8
                           -5(-116) - 21y = -8
                                 580 - 21y = -8
                               - 580           - 580
                                         -21y = -588
                                          -21      -21
                                              y = 28
                            5x + 9y + 9z = 5
                5(-116) + 9(28) + 9z = 5
                      -580 + 252 + 9z = 5
                                -328 + 9z = 5
                              + 328     + 328
                                           9z = 333
                                            9       9
                                             z = 37
                                   (x, y, z) = (-116, 28, 37)

The answer to the problem is C.
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