6. What is the solution of the system
of equations?

2x + 3y = 12
-6y = 4x - 24
A. X = 3, y = 2
B. X = 6, y = 0
C. Infinitely many solutions
D. No solution

Answer:

12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.

Nothing further can be done with this.

28m / 7m

Hope this helps :)

Answer:

Square.

Step-by-step explanation:

a). Properties of a square → 1). All sides are equal in measure

                                        2). All interior angles are equal and measure 90°

                                        3). Diagonals are perpendicular and equal in

                                             measure.

Therefore, by third property, its a square because diagonals are perpendicular and  congruent.

Answer:

Subtracting a number is the same as adding the opposite of the number

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.

Answer:

1400

Step-by-step explanation:

the number of girls aged 16 - 17 that do not exercise = 11/25 x 2500 = 1100

The total number of girls that do not exercise = 2500 - 1100 = 1400

Answer:

Lauren will get $640 and Cara will get $560.

Step-by-step explanation:

Given that:

Age of Lauren = 16

Age of Cara = 14

Ratio = 16 : 14

Amount given by their grandad = $1200

Let,

x be the number of times.

16x + 14x = 1200

30x = 1200

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{1200}{30}\\x=40[/tex]

Share of Lauren = 16x = 16*40 = $640

Share of Cara = 14x = 14*40 = $560

Hence,

Lauren will get $640 and Cara will get $560.

Answer:

surds are option A, D and E

[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]

Step-by-step explanation:

Given;

[tex]A. \ \sqrt{17} \ \ \ \ B. \ \sqrt{36} \ \ \ \ C. \ \sqrt{100} \ \ \ \ D. \ \sqrt{15} \ \ \ \ E. \ \sqrt{30}[/tex]

A Surd have no perfect square root.

B. √36 = 6

C. √100 = 10

Option  B and C have perfect square roots.

Thus, surds are option A, D and E, which have no perfect square root.

[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]

Answer:

x= -3 , -7

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x^2+40x+84=0

i divide first by 4 the whole equation

x^2+10x+21=0

we use the quadratic formula to solve it

and you will get x=-3, and -7

from least to greatest

-7 ,-3

Step-by-step explanation:

Hey there!

Given;

The sum of two numbers is 45.

One of them is 27.

Let next number is "x".

So, Add "x" and "27" and show it is equal to 45.

Or, x+27 = 45

Therefore, x+27 = 45 is the required equation.

Now, solving unknown number.

~ Take "27" to right side and subtract it.

x= 45 - 27

X= 18

Therefore, next number is (x) = 18.

Hope it helps...

ANSWER = 18

Step-by-step explanation:

the sum of two no. =45

one no.=27

therefore,

two no.=

45-27=18

Answer:

1. A.)4 - 4n = 14

2. C.) 42 * 3 = B

Step-by-step explanation:

1. Four less than : 4 -

Four times a number : 4 × n = 4n

(let n represents the number)

Equals 14 : = 14

= 4 - 4n = 14

2. Each person paid : $42

Keith, Alyssa, and Sara : 3

The bill : let B represent bill

= $46 * 3 = B

I hope this helps!

Answer:

4. 1/2

5. 9/1

Step-by-step explanation:

4. 2/4 simplifies to 1/2

5. 18/2 simplifies to 9/1

Answer: CB = 7.    AC = 5.

Step-by-step explanation:

Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.

Now AC.

You divide 45 degrees by 7. And you get five.

So AC = 5 and CB = 7.

Answer:

AC= 7√6/2

CB=7√2/2

Step-by-step explanation:

i posted with answers in the photo

put 73.5 in √ it gives u 7√6/2

Answer:19

Step-by-step explanation:2 d -5

                                    2 (12) -5

                                    24-5

                                     =19

Answer:

CD = 10$

Cassette = 1$

Step-by-step explanation:

ok, time to use some variables

C = CD

S = Cassette

2c + 5s = 25$

1c + 15s = 25$

the second equation has 1 less CD and 10 more Cassettes, therefore 1c = 10s

Now we can calculate how many Cassettes we can buy

1c - 1c = 0c

15s + 10s = 25s

This means that 25s = 25$

therefore 1s = 1$

since we know that 10s = 1c, and 1s = 1$, then we can figure out how many dollars the CD is

1c = 10s = 10$

1c = 10$

Variables are helpful :)

-2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

 -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

Answer:

1. 70  2. 85  3. 63  4. 20  5. They are vertical angles

Step-by-step explanation:

Answer:

B = no solution

Step-by-step explanation:

y = -5x - 3

-5x - y - 3 = 0

Substitute

-5x - (-5x - 3) - 3 = 0

Distributive Property

-5x + 5x + 3 - 3 = 0

Combine Like terms

0 + 3 - 3 = 0

0 + 0 = 0

0 = 0

This system has no solutions. You don't have a value for x or y

Hope this helped

Answer:

(8, 0)

Step-by-step explanation:

TAKE NOTE: In a glide reflection, you always start w/ the second transformation.

RULE (in this case): (x, y) --> (y, x)

(2, 7) => (7, 2)

RULE: (x, y) --> (x + horizontal shift, y + vertical shift)

(7, 2) => (7+1, 2-2) or (8, 0)

You can check your answer by doing this the opposite way.

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!]

Answer:

y=3x+2

-4x+4y=16

-4x+4(3x+2)=16

-4x+12x+8=16

8x=16-8

8x=8

x=8/8

x=1

y=3x+2

y=3(1)+2

y=3+2

y=5, x=1

Answer:

hello your answer will be 9/2

Answer:

A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.

B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.

C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.

Answer:

180 yards of fabric produced in 1 hour

your welcome :)

Answer:

Step-by-step explanation:

AD║FJ and CH is transversal

∡BCH and ∡CHJ are alternate interior angles

Alternate interior angles are congruent:

Answer:

13

Step-by-step explanation:

For this type of question it is giving you a function and it is giving you the x value. all you have to do is plug in x which is -2. -2 x -2 is 4. 4 + 9 is 13.

HOPE THIS HELPS!! (:

Step-by-step explanation:

h(-2)=-2x+9

h(-2)=-2×(-2)+9

h(-2)=4+9

h(-2)=13

=13

Answer:

92.75 cm²

Step-by-step explanation:

area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.

area of triangles is ½×base×height.

area of ∆EDA=½×EF×AD

=½×4.5×12

=27 cm². -------->(1)

area of ∆ADC=½×AD×DC

=½×12×5

=30 cm². --------->(2)

area of ∆ACB=½×AC×BG

=½×AC×5.5

from pythagorean theorem

(AC)²=(AD)²+(CD)²

= 25+144

= 169 cm then. AC= 13 cm

then area of ∆ACB=½×5.5×13

=35.75 cm² ---------->(3)

from equation (1), (2) and (3):

then the area of polygon = 27 + 30 + 35.75

=92.75 cm²

Answer:

37

Step-by-step explanation:

This simply requires plugging in the numbers-

bc - b + c = ?

(8)(5) - 8 + 5 = ?

Then solve-

40 - 8 + 5 = ?

32 + 5 = 37

Therefore-

bc - b + c = 37