1
Triangle ABC can be taken to triangle A'B'C'using rigid motions and a dilation,

Select all the equations that are true,

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]

Answer:

so i graphed it and it does end

Step-by-step explanation:

Answer:

Adventure time is a great show they shouldve made more episodes

Step-by-step explanation:

Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

Answer:

Choice A. $2,392 is the correct answer

Answer:

I found out the answer, it's 2/3

Step-by-step explanation:

I hope that helped!

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

Answer:

x=68

Step-by-step explanation:

180-112=68

180=112+x

stright line is 180 degrees

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

1/2t + 3/8

t = 1/4

Step 2: Evaluate

Answer:

Henry has 3 apples

Step-by-step explanation:

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

Answer:

get smart

Step-by-step explanation:

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

[tex]P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]\dfrac{1}{k^2}= 1- 0.889[/tex]

[tex]\dfrac{1}{k^2}=0.111[/tex]

[tex]k = \sqrt{\dfrac{1}{0.111}}[/tex]

[tex]k \simeq 3[/tex]

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

Answer:

Step-by-step explanation:

Slope is rise/run or change in y over change in x.

To calculate rise we subtract y2 from y1.

-1 - 6 = -7

RUN: -7

To calculate run we subtract x2 from x1.

10 - 10 = 0

RISE: 0

Slope is -7/0

Answer:

B. The graph is a horizontal line.

Step-by-step explanation:

brainest plz

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

Answer:

Step-by-step explanation:

Total yarn = 334 yards

Amount remaining = 118 yards

Amount knitted = 512

amount per hat =x

amount used = y

amount used = 334 - 118 = 514*x

y= 216= 514x

216 = 514 x         Divide by 514

216/514 = x

.42 yards/hat = x

Answer:

it would be 18 over 5

Answer: 8

Step-by-step explanation: The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

This means the greatest common factor is 8.

Answer:

well it would be +12, does that answer your question?

Answer:

[tex] \frac{1}{2} [/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5

Answer:

I think it is 3.805 × 10 to the 7th power

Step-by-step explanation:

Hope this helps!

Answer should be B/0.3805 x  108

Step-by-step explanation:

if I'm wrong please tell me and I will try to correct it :)

Answer:

see in picture

...........

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

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

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

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

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

[tex]=\frac{-2}{-1}[/tex]

[tex]\frac{-2}{-1} =-2[/tex]

[tex]=-2[/tex]

Hope this helps.

Answer:

4.50

Step-by-step explanation:

Answer:

Sales tax:1.50, total cost:51.50

Step-by-step explanation:

price x sales tax rate = sales tax

50 x .03 (3%) = 1.50 sales tax

price + sales tax = total cost of item

50 + 1.50 = 51.50

The horizontal line has infinite domains but a range that has only one value.

The vertical line has a domain is the -intercept, and its range is "all real numbers."

Given that,

The horizontal and vertical lines.

Since we know that,

Linear functions always have infinite domains and ranges.

The exception is when the graph is a horizontal line.

This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.

And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;

Hence its domain is the -intercept, and its range is "all real numbers."

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ6

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours