In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 90 degree counterclockwise rotation?

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Answer:

y = -5/3x - 6/5

Step-by-step explanation:

Brainliest pls

Answer: You add 4+2/5 then multiply it times 2.5

Step-by-step explanation:

If you Evaluate it your answer will be: 11 = -13

Answer:

a = 12

Step-by-step explanation:

Given that a is inversely proportional to b then the equation relating them is

a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion

To find k use the condition when a = 4, b = 36, then

4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )

144 = k

a = [tex]\frac{144}{b}[/tex] ← equation of proportion

When b = a , then

a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )

a² = 144 ( take square root of both sides )

a = ± [tex]\sqrt{144}[/tex] = ± 12

However a is a positive number, thus a = 12

Answer:

The third answer, y = 4x + 1

Step-by-step explanation:

Let's take the pair x = 2, and y = 9.

We know what x is, and what the result, y, is now.

Let's plug x into the third equation, y = 4x + 1

y = 4 * 2 + 1

y = 8 + 1

y = 9

We already know that y = 9, so this equation is correct.

Hope this helps!

(Let me know if you want to know why it's not any of the others.)

Answer:

66.3333333333 depending on the decimal point you'd go to

Step-by-step explanation:

30-7=23 dollars remained

let x be the tickets number

so 0.75*x=23

x=23/0.75

x=31 at least.

Answer: X means you have to times

Step-by-step explanation: So you will have to do 3x3x3

Answer:

B

Step-by-step explanation:

The equivalent expression to - 11/4 is, - (-11/-4).

Option B is true.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ - 11/4

Now, By option B;

The number is,

⇒ - (- 11/ - 4)

Multiply by - 1 in denominator and numerator,

⇒ - (- 1 × - 11 / - 1 × - 4)

⇒ -  (11/4)

⇒ - 11/4

Thus, The equivalent expression is, - (-11/-4).

Learn more about the fraction visit:

https://brainly.com/question/5454147

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The complete question is this,

Which of the following expression are equivalent to -11/4?

A) - (11/ - 4)

B) - (-11/-4)

C) None of these

Answer:

B.

[tex](x + 2) ^{3} - 9 [/tex]

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .

(1)

(3)

(4)

I think im sorry if im wrong too

Answer:

For the first section, you write the algebraic expression or equation that goes with the statement.

For example, 9 more than the product of 51 and number "i" would translate into 51i+9. More and sum refers to addition, difference is subtraction, and quotient is division.

For the second section, you just simplify each of the expressions. when a number has ^, that means it has the square root, so 9^2 would be nine squared, which is 81.

For the third section, replace the c values for 3 and the d values for 5.

For the fourth section, determine whether or not each number is rational by writing the number as a fraction where both numerator and denominator are whole numbers. Pi is irrational as it can't be written as the fraction of 2 integers

For the last section, combine like terms and explain each step.

I would say line graph

because many charts and graphs that use time, like years, use line graphs.

One example of this is the stock market, the stock market uses line graph, and I think the best option here is a line graph.

Answer: Line Graph

A line graph would best represent this data because you recording change over time (results from 1972-2008).

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

Answer:

2nd one

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

-6 -(-2) can also mean -6+2 because the (-) in that equation can also mean -1, so a negative time a negative is a positive.

so, there is -6 and ur adding 2 to it, which is -4

Answer:

Step-by-step explanation:

y= money earned , x is the number of hours

k is the constant=y/x=12

b- if she worked 18 hours:

y=12(18)

c- if she earned 330 dollars:

330=12x

x=330/12

Answer:

I Pretty sure it's 3

Step-by-step explanation:

13-7=6

6 divided by 2= 3

Answer:

x = 3, y = 6, z = 4

Step-by-step explanation:

If lines s, t, and u are perpendicular bisectors of the sides of APGH and meet at J, then JG = JH = JF = HI

Given

JG - 2x+ 2

JH - 2y-4

JF-8 a

HI - 3z-3,

Hence 2x+2 = 2y-4 = 3z-3 = 8

This means that

2x+2 = 8

2x = 8-2

2x = 6

x = 3

Also, 2y-4 = 8

2y = 8+4

2y = 12

y = 6

And 3z-3 = 8

3z = 8+3

3z = 11

z = 11/3

z = 3.67 ≈ 4

Hence x = 3, y = 6,z = 4

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Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

Given:

The expression is

[tex]16.8-18.6[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]16.8-18.6=-1.8[/tex]

In option A,

[tex]16.8-(-18.6)=16.8+18.6[/tex]

                        [tex]=35.4\neq -1.8[/tex]

In option B,

[tex]-18.6+(-16.8)=-18.6-16.8[/tex]

                        [tex]=-35.4\neq -1.8[/tex]

In option C,

[tex]18.6-16.8=1.8\neq -1.8[/tex]

In option D,

[tex]16.8+(-18.6)=16.8-18.6=-1.8[/tex]

Only the value of the expression in option D is equal to the value of given expression.

Therefore, correct option is D.

Answer:

$3,955

Step-by-step explanation:

Given that:

Initial deposit = $3500

Simple rate of interest = $3.25%

Number of years = 4

Simple interest = (principal * rate * time)

Principal = Initial deposit = $3500

Interest = $3500 * 3.25% * 4

Simple Interest = $455

Amount that will be in account after 4 years :

$3500 + $455 =$3955

Step-by-step explanation:

5x+8-7x=4x+1

5x+7x-4x=8+1

8x=9

Answer: The Slope is 20

Step-by-step explanation:

M A T H W A Y . C o M

Step-by-step explanation:

the answer is y=-6 when x=-3