Rational Numbers are numbers that
O Can be written as a fraction
O Can not be written as a fraction
O you can think of
O you can imagine

Answer:

Options (3), (4) and (6)

Step-by-step explanation:

Coordinates of the vertices of the given rectangle are,

A(1, 5), B(3, 2), C(-3, -2) and D(-5, 1)

When rectangle ABCD is dilated by a scale factor of 2 about the origin,

Rule to be followed for the dilation,

(x, y) → (2x, 2y)

Therefore, image of the rectangle ABCD will be,

A(1, 5) → A'(2, 10)

B(3, 2) → B'(6, 4)

C(-3, -2) → C'(-6, -4)

D(-5, 1) → D'(-10, 2)

- Hence point B' is located at (6, 4).

- Rectangle ABCD and A'B'C'D' are similar as all the angles of image will be same as the pre-image after rigid transformation (dilation).

- Let the equation of the line B'C' is,

 y = mx + b

 Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                  =  [tex]\frac{4-2}{6-3}[/tex]

                  = [tex]\frac{2}{3}[/tex]

 Since B'C' will pass through origin, y-intercept will be zero.

 Therefore, equation of B'C' will be,

  y = [tex]\frac{2}{3}x[/tex]

 Options (3), (4) and (6) are the correct options.

Answer:

well im confused but dont you have to find the prime too

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

8*8 = 64

64 - 47 = 17

Answer:

4112

Step-by-step explanation:

Answer:

By applying law of conservation of mass.

Explanation:

Every balanced chemical equation follows law of conservation of mass.

This law states that mass can neither be created nor can be destroyed but it can only be transformed from one form to another form.

This law also states that the total number of individual atoms on the reactant side must be equal to the total number of individual atoms on the product side.

For the given reaction, the balanced chemical equation follows:

4Na1+Pb(SO4)__Pb14+2Na2SO4

On reactant side:

Number of sodium atoms = 4

Number of iodine atoms = 4

Number of lead atoms = 1

Number of sulfur atoms = 2

Number of oxygen atoms = 8

On product side:

Number of sodium atoms = 4

Number of iodine atoms = 4

Number of lead atoms = 1

Number of sulfur atoms = 2

Number of oxygen atoms = 8

Hence, the balanced chemical equation is written above.

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Answer:

the answer is C. It has a constant rate of change.

Step-by-step explanation:

Answer:

(6,9)

Step-by-step explanation:

Y=2/3x+5

Y=x+3

2/4x + 5 = x + 3

Solve the equation

x=6

Substitute the value of x

y=6+3

Solve the equation again.

Now we know y=9

(x,y) = (6,9)

Check the solution

9=2/3 x 6 + 5

9=6+3

Simplify

Answer:

0.941

Step-by-step explanation:

Answer:

72 tests

Step-by-step explanation:

lets put this in a ratio

27 (tests) : 3 (hours)

now we simplify by dividing each side by 3

9:1

Now we must find 8 hours so multiply each side by 8

72:8

the teacher will grade 72 tests in 8 hours

Answer:

308 hours

Step-by-step explanation:

22 x 13

Answer:

1/5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

There are more red marbles in the bag

Step-by-step explanation:

2/9 = .2222 green

1/3 = .33333 red

Answer:

X=7.5 y=-1

Step-by-step explanation:

[tex]2x + 7y = 8 \\ 2x + y = 14[/tex]

I multiplied the equation with - 1 to than I sum it with the second one to get rid of x

[tex] - 6y = 6 \\ y = - 1[/tex]

Now you put Y in on of the equation and you get x.

[tex]2x - 1 = 14 \\ 2x = 15 \\ x = 7.5[/tex]

Answer: -(-3 / -2)= ?

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

- - = +

so 3 ÷ 2 is 1.5

hope it helps!

Answer:

5 / 5 = 100%         Nov 18 11:54 UTC (GMT)

15 / 24 = 62.5% Nov 18 11:54 UTC (GMT)

255 / 280 = 91.071428571429% Nov 18 11:54 UTC (GMT)

0.067 = 6.7%          Nov 18 11:54 UTC (GMT)

51 / 50 = 102%  Nov 18 11:54 UTC (GMT)

Answer:

24 times .15

Step-by-step explanation:

15% is equal to .15, and in this case, if you are trying to find the answer, it is 3.6

The value of (a) and (b) for the hyperbola are [tex]\sqrt 3[/tex] and 2

The equation of the hyperbola is given as:

[tex]\frac{y^2}{b^2} - \frac{x^2}{a^2} = 1[/tex]

The curve of the graph passes through points (0,2) and (-4,3).

So, we have:

[tex]\frac{2^2}{b^2} - \frac{0^2}{a^2} = 1[/tex] and [tex]\frac{(-4)^2}{b^2} - \frac{3^2}{a^2} = 1[/tex]

[tex]\frac{2^2}{b^2} - \frac{0^2}{a^2} = 1[/tex] becomes

[tex]\frac{4}{b^2} = 1[/tex]

Cross multiply

[tex]b^2 = 4[/tex]

Take positive square root of both sides

[tex]b = 2[/tex]

[tex]\frac{(-4)^2}{b^2} - \frac{3^2}{a^2} = 1[/tex] becomes

[tex]\frac{(-4)^2}{2^2} - \frac{3^2}{a^2} = 1[/tex]

[tex]\frac{(-4)^2}{4} - \frac{9}{a^2} = 1[/tex]

[tex]4 - \frac{9}{a^2} = 1[/tex]

Collect like terms

[tex]- \frac{9}{a^2} = -3[/tex]

Cross multiply

[tex]-3a^2 = -9[/tex]

Divide both sides by -3

[tex]a^2 = 3[/tex]

Take square roots of both sides

[tex]a = \sqrt 3[/tex]

Hence, the value of (a) and (b) for the hyperbola are [tex]\sqrt 3[/tex] and 2

Read more about hyperbolas at:

https://brainly.com/question/14503968

Answer:

m= 1395

Step-by-step explanation:

99.45 -30=

69.45

69.45 divided by 0.05

Answer:

C. Four times a number decreased by 3

Answer:

The answer is x=5

Step-by-step explanation:

hope this helps

Given:24 + x = 29

Solutions: To find the x subtract both side by 24.

24-24 + x = 29-24

x=5

Answer:

x=5

Step-by-step explanation:

24+x=29 - subtract 24 from both sides to isolate variable

x=5

Answer:

12.5

Step-by-step explanation:

3 scoops = 1 cup

6 scoops = 2 cups

9 scoops = 3 cups

12 scoops = 4 cups

Answer:

A. -2, 9

B. -2, 4

C. -8, 4

D. -8, 9

Answer:10.5

Step-by-step explanation:I’m smart

Answer: 10 i promise u it is.

Step-by-step explanation:

Answer:

1 ans

domain=(-2,0,2,4)

range=(-3,-1,0)

2 ans

domain=(-3,-1,0,3)

range=(-1,0,1,2,3)

Step-by-step explanation:

Answer:

y=2/3x -3

Step-by-step explanation:

y=mx+c

If the gradient(m) is the same then it's parallel.

The line passes through -3 so the y intercept(c) is -3

Answer:

Y=2/3x-9

Step-by-step explanation:

Y=mx+c

y=2/3x+c

Then substitute the coordinates

y=-3

x=9

-3=2/3*(9)+c

-3=6+c

Make c the subject by subtracting 6 from both sides.

-9=c

so the answer is

Y=2/3x-9

Answer:

A spring balance measures the weight of an object by opposing the force of gravity acting with the force of an extended spring.

mrk brainliest?

The equation that best suits the scatter plot is y = x - 0.5.

A straight line graph has the general equation; y = mx + c Where; m = slope, c = y- intercept. We now have to examine each of the equations as written so as to determine which of the equations that best suits the scatter plot as shown.

First of all, we can see that the line did not start from origin. Looking at the graph very closely, we can conclude that the equation that best suits the scatter plot is y = x - 0.5.

Learn more: https://brainly.com/question/165414

Answer:

152.4cm

Step-by-step explanation:

12 Inches per foot.

5 x 12

60

1 inch in cm is 2.54

60 x 2.54

152.4cm

Hope this helped!