find the image of A(-2,4) under a translation (x,y)->(x-2,y-3)​

Answer:

[tex]FIRST\ BLANK:\ 22[/tex]

[tex]SECOND\ BLANK:\ 20[/tex]

[tex]THIRD\ BLANK:\ 18[/tex]

I hope this helps you

:)

Answer:

1. 22

2. 20

3. 18

Step-by-step explanation:

1. 2(13-p) = 2(13-2) = 26-4 = 22

2. 2(13-p) = 2(13-3) = 26-6 = 20

3. 2(13-p) = 2(13-4) = 26-8 = 18

Answer:

56° and 124°

Step-by-step explanation:

If two angles are said to be supplementary then their sum is 180°

Let x = smaller angle

If the larger angle is 12 more than 2 times the smaller angle, then

⇒ larger angle = 2x + 12

   Sum of the angles = 180°

⇒ x + 2x + 12 = 180

⇒ 3x + 12 = 180

⇒ 3x = 168

⇒ x = 56

Therefore, smaller angle = 56°

larger angle = 2(56) + 12 = 124°

Answer:

sale price: $900

Explanation:

original price will be always of 100%

sale price: 100% - 25% = 75%

so solve:

100% ↔ $1200

1% ↔ $1200/100

1% ↔ $12

75% ↔ (12 * 75) = $900

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

In this problem, with the help of a t-distribution calculator, with a two-tailed significance level of 0.02 and 24 - 1 = 23 degrees of freedom, the parameters are:

[tex]\overline{x} = 22.7, s = 4.15, n = 24, t = 2.5[/tex]

Then, the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 22.7 - 2.5\frac{4.15}{\sqrt{24}} = 20.6[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 22.7 + 2.5\frac{4.15}{\sqrt{24}} = 24.8[/tex]

The 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

(7,14)

Step-by-step explanation:

y=3x-7

y=4x-14

3x-7=4x-14

-7=x-14

7=x

to find y

y=3x-7

y=3(7)-7

y=21-7

y=14

Answer:

Angle 5 = 51 degrees

Angle 6 = 129 degrees

Step-by-step explanation:

When dealing with parallel lines like this, the picture attached shows all the angles that are equal to each other. Angle 6 and (3x-15) will sum to 180 degrees. Angle 5 is equal to 3x-15. (3x-15) will be equal to (2x+7)

The first step to solving this problem after the angle relationships are determined is to solve for x:

3x-15=2x+7

3x-2x=7+15

x=22

The second step is to determine angle 5:

angle 5 = 3x-15

angle 5 = 3(22)-15

angle 5 = 66-15

angle 5 = 51 degrees

The third step is to determine angle 6:

angle 6 = 180 - (3x-15)

angle 6 = 180 - 3x + 15

angle 6 = 195 - 3x

angle 6 = 195 - 3(22)

angle 6 = 195 - 66

angle 6 = 129 degrees

The final step is to check the angles. Angle 6 and 3x-15 should add to 180; 180 - angle 5 should be equal to angle 6.

129 + 3x - 15 =? 180

129 + 3(22) - 15 =? 180

129 + 66 - 15 =? 180

180 = 180

180 - 51 =? 129

180 - 51 =? 129

180 - 51 =? 129

129 = 129

Answer:

A. 20 ft

Step-by-step explanation:

The volume of a right solid such as a rectangular shipping crate is found by multiplying the area of its base by its height. The area of this shipping crate is its length multiplied by its width = 2.5 x 2 = 5 feet. Now, we multiply the area of the base (5) by the height (4) to get 20 feet.

Answer:

435

Step-by-step explanation:

15 × 10 = 150

15 - 585 = 435

Answer:

[tex]\sf y = 3.17[/tex]

explanation:

apply rule:  a * a * a = a³

changing sides, changes cubic to cubic root

simplify

In decimals

In two decimal places

Solution:

Note that:

Taking a cube root both sides.

Writing the prime factors of 32.

Simplifying ∛32

Answer: about 12 years

Step-by-step explanation: If your grandmother gave you her wedding ring, which was appraised at $1,200 and it had an annual inflation rate of 6 percent; it would take about 12 years for the ring's worth to become $2,400.

Answer:

about 11-12 years before it was worth $2400

Step-by-step explanation:

the answer is y=3x-2 if you cant see the picture

Answer:

The area of the parallelogram below is 48 square meters.

Explanation:

[tex]\sf area \ of \ parallelogram = base * height[/tex]

Given:

using the formula:

→ base * height

→ 6 * 8

→ 48 m²

Answer:

Step-by-step explanation:

7       1          x         3       1

        2                             2

= 105        =      26     1

      4                          4

Result in decimals: 26.25

Calculation steps:

7     1         x        3      1

      2                          2

=  15    x    7

   2           2

=  15 × 7

    2 × 2

=  105             =  26     1

     4                            4

Answer:

52 total number of balls in the gym

Step-by-step explanation:

12+18=30

30+14=44

44+8=52

Answer:

[tex]4.8038[/tex] or just [tex]4[/tex] quarts.

Hope this helps!

Answer:

Mid-point: [tex](0,-5)[/tex]

Equation: [tex]y=\frac{7}{3}x-5[/tex]

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

[tex](\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})[/tex]

[tex](\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})[/tex]

[tex](0,-5)[/tex]

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: [tex]\frac{{y__2}-{y__1}}{{x__2}-{x__1}}[/tex] = [tex]\frac{{-8}-{-2)}}{{7}-{(-7)}}[/tex] = [tex]\frac{-6}{14}[/tex] = [tex]\frac{-3}{7}[/tex]

Multiplying slopes that are perpendicular with each other always results in -1.

[tex]\frac{-3}{7}*m = -1[/tex]

[tex]m=\frac{7}{3}[/tex]

By the point slope form:

[tex]({y}-{y__1})=m({x}-{x__1})[/tex]

Plug in the coordinates of the mid-point:

[tex]({y}-{(-5)})=\frac{7}{3} ({x}-{0})[/tex]

Equation: [tex]y=\frac{7}{3}x-5[/tex]

Answer: C

Step-by-step explanation:

Answer:

Option A: 3 and 1/2

Step-by-step explanation:

10/3 = 3 and 1/3

11/3 = 3 and 2/3

3 and 1/2 is in between both.

Answer:

A) [tex]3\frac12[/tex]

Step-by-step explanation:

[tex]\dfrac{10}{3}=3\frac13=3\frac26[/tex]

[tex]\dfrac{11}{3}=3\frac23=3\frac46[/tex]

[tex]3\frac12=3\frac36[/tex]

so [tex]3\frac12[/tex] is between [tex]\dfrac{10}{3}[/tex] and [tex]\dfrac{11}{3}[/tex]

Answer:

The answer is one yard

Step-by-step explanation:

A city planner has plans to build two small parks, shown in the diagram below. Park is a triangle, and the park is a rectangle. Each unit on the coordinate grid represents a yard.

Answer:

show the picture an i will find it out

Step-by-step explanation:

Answer: x=-1, x=4

Step-by-step explanation:

Answer:

D. not here

Step-by-step explanation:

because It's equal to 120cm

Answer: 15x - 1500 > 0,    101 batches

Step-by-step explanation:

To begin, lets start by modeling this with a linear equation, (for sake of simplicity).

we can model this in the form y = mx + b, where y is 0, (meaning she isn't making profit OR losing money either).

Next, lets set up the parameters:

0 = mx + b. We can safely say that b, our constant, is -1500, because this is the money she "loses" every month.

Now we have 0 = mx -1500. We know she sells each batch for $20, so we also know that she makes 20x dollars for x batches. Our m = 20.

Now we have 0 = 20x - 1500. However, this equation is not completely correct, as we arent subtracting the cost for making each batch of cupcakes. The problem says that it costs her $5 to make each batch. So it will cost her 5x dollars for making x batches. If we subtract this from how much she sells each batch for, we get the profit she makes from selling each batch. So she makes a profit of (20x - 5x) = 15x dollars for x batches of cupcakes.

Out completed equation is 15x - 1500 = 0.

Solving this equation for x will give us how many batches she needs to sell to break even. To model this as an inequality for profit we simply replace the "=" sign with a ">" sign.

So our completed inequality is 15x - 1500 > 0

Solving this for x:

15x - 1500 > 0

15x > 1500

x > 100

Amanda needs to make more than 100 batches per month to make a profit. The greatest number of whole number batches over 100 is 101; so she needs to sell atleast 101 batches to make a profit every month.