Solve for xx. Leave your answer in simplest radical form.

Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

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  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

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  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C

Answer:

5/4

Step-by-step explanation:

Answer: 115,324 m^2

Step-by-step explanation:

To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).

In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)

Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.

1/2 (220)(152) = 16,720 m^2

Since there are four triangle faces, we need to multiply this number by four.

16,720(4) = 66880 m^2.

Now we just have to add this to the area of the square base which is:

(220)(220) = 48400 m^2

66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)

Answer:

  B = (14, 12)

Step-by-step explanation:

As you know, the midpoint is the average of the end point coordinates:

  M = (A +B)/2

Solving for B gives ...

  2M = A + B

  B = 2M -A

  B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)

  B = (14, 12)

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

answer:13yexponent2+3y−5

Answer:

x = 3

Step-by-step explanation:

7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side

7x + 28 - 7 = 48 - 2x

7x + 21 = 48 - 2x ( add 2x to both sides )

9x + 21 = 48 ( subtract 21 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer: the answer is x=3

Step-by-step explanation:

step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x

step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x

step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48

step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x

step 5: 9x=27 now divide both sides by 9 so 27/9= 3

Answer:

1. L = 3D +59

2. 158 miles

Step-by-step explanation:

For the second part:

Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.

Answer:

right

Step-by-step explanation:

y=2x+1

9=2(4)+1

9=8+1

9=9

Answer:

-5x^5 + 7x^2 - 8x

Step-by-step explanation:

Add like terms:

3x^5 - 8x^5 = -5x^5

4x^2 + 3x^2 = 7x^2

Answer:

Joe can only use 3GB of Data. Bill is 21 .

[tex]21 + 9 + 30[/tex]

[tex]1gb \: \: = 3[/tex]

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

Here is my answer. I hope it is helpful.

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Answer:

Step-by-step explanation:

6.

-4(3+n)>-12

-12-4n>-12

-4n>0

n<0

open circle at 0 and left of 0 on the number line.

8.

-3(r-4)≥0

divide by -3

r-4≤0

r≤4

solid line starting from 4 and extends left .

5.

-b-2>8

-b>10

b<-10

open circle at -10

and extends left.

7.

[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]

open circle at 6 and extends left .

Answer:

5) b<-10

From -10 to left

6) n<5

From 4 to 1

7) n<6

From 5 to -2

8) r<=4

From 4 to -4

Step-by-step explanation:

[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]

Answer:

Step-by-step explanation:

69

Answer:

62

Because u do 180-90-28=62

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Answer:

hey

Step-by-step explanation:

how r u?

wyd?

u from?

u r girl or boy??

Answer:

7.

Step-by-step explanation:

True-... i think because like i am not sure-

Answer:

x+43⁰+52⁰=180⁰ [being triangle]

x⁰+95⁰=180⁰

x⁰=180⁰-95⁰

x⁰=85⁰

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

Answer:

5 cups

Step-by-step explanation: