find the equation perpendicular to the line y=2x-2 and passing through (-3 5)

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

[tex]DF=DE+EF[/tex]

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

[tex](3x+5)=(2x)+(2x-6)[/tex]

Now, solve for x.

On the right, combine like terms:

[tex]3x+5=4x-6[/tex]

Subtract 4x from both sides:

[tex]-x+5=-6[/tex]

Subtract 5 from both sides:

[tex]-x=-11[/tex]

Divide both sides by -1:

[tex]x=11[/tex]

Now that we know x is 11, substitute this back into the equation for EF to find EF.

[tex]EF=2x-6[/tex]

Substitute 11 for x:

[tex]EF=2(11)-6[/tex]

Multiply:

[tex]EF=22-6[/tex]

Subtract:

[tex]EF=16[/tex]

And we're done!

Answer:

81 ft

Step-by-step explanation:

1 yard=3ft

27 x 3=81

So the answer is 81 ft

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

[tex]Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}[/tex]

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in [tex]0<x<106,800[/tex], therefore

[tex]Tax=0.062x[/tex]

Put x=102000.

[tex]Tax=0.062(102000)[/tex]

[tex]Tax=6324[/tex]

So, the Social  Security tax is $6324.

Therefore, the correct option is c.

Answer:

If you are looking for y it's 5

Step-by-step explanation:

Plug in 3 for x

7(3) -3y = 6

21 - 3y = 6

subtract 21 from both sides

-3y = - 15

divide by three from both sides

y = 5

Step-by-step explanation:

1.5y - 9.82 = -9.37 - 10.1y - 14.37

1.5y + 10.1y = 9.82 -9.37 - 14.37

11.6y = −13.92

y = (-13.92)/11.6

y = -1.2

Answer:

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

Step-by-step explanation:

Step one,

Simplify the radical expression:

8(4√7 - √18)  

Still Stuck?  *( √18 Simplified is 3√2)*

Your answer should look like this:  8(4√7 - 3√2)

Step two,

Distribute 8 through the parentheses:

8(4√7 - 3√2)

Still Stuck?   *( Use distribuitave property to distribute 8 to (4) and (-3). You should get (32) and (-24)*

Your answer should look like this: 32√7 - 24√2

Solution,

32[tex]\sqrt{7}[/tex] - 24[tex]\sqrt{2}[/tex]

Alternative form:

≈50.72292

*For alternative form, plug the final answer into your calculator. Round it if necessary*

6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363

To find the decimal equivalent of the division 350 divided by 55, you simply divide 350 by 55 using long division. Here's the step-by-step calculation:

   6.363636...

 _______________

55 | 350.000000

    - 330

    _______

      200

      - 165

      ______

        350

        - 330

        ______

          200

          - 165

          ______

            350

            - 330

            ______

              200

              - 165

              ______

                ...

The division continues indefinitely with the decimal repeating the sequence 36.

Therefore, the decimal equivalent of 350 divided by 55 is 6.363636...

Based on the options provided:

A) 6.6 is not correct as it rounds up the decimal prematurely.

B) 6.36 is not correct as it does not account for the repeating decimal.

C) 6.363 is not correct as it rounds down the decimal prematurely.

D) 6.363 is the correct answer as it represents the repeating decimal correctly.

So, the correct answer is D) 6.363.

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Answer:

r= -1.2

Step-by-step explanation:

first use distributive property

- 3(4r - 8) = 36 - 2r

-12r +24 = 36-2r

+2r.           +2r

-10r +24= 36

-24.           -24

-10r = 12

/-10.     /-10

r= -1.2

Answer:

Step-by-step explanation:

Equation: -3(4r - 8) = 36 - 2r

Step 1:

-12r + 24 = 36 - 2r       Multiply (4r - 8) by -3 using the Distributive Property.

Step 2:

-10r + 24 = 36        Add -12r and -2r by 2r.

Step 3:

-10r = 12        Subtract 24 and 36 by 24.

Step 4:

r = -12/10          Divide both sides by -10

Step 5:

r = -6/5           Simplify the fraction.

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

Answer:

2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  

Step-by-step explanation:

its just 2/6

Answer:

hello it is so

Step-by-step explanation:

simple simply do the division if don't I can

Answer:

x=7

Step-by-step explanation:

Collect like terms:

-x=6-3x+8

-x+3x=6+8

Simplify

2x=14

Simplify

x=7

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received  is x emails then Sara received  2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

Answer:

We can find an expression equivalent to the one given by expanding the expression given,

[tex](x + 9)(x - 2) - 9x - 6\\x^2-2x+9x-18-9x-6\\x^2-2x-24[/tex]

So [tex]x^2-2x-24[/tex] is a possible expression.

The required expression equivalent to (x + 9)(x - 2) - 9x - 6 is  (x + 4)(x - 6).

Given that,
(x + 9)(x - 2) - 9x - 6, an equivalent expression is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

= (x + 9)(x - 2) - 9x - 6
= x² + 9x -2x -18 - 9x - 6
= x² - 2x - 24
= x² -6x + 4x - 24
= x (x - 6) + 4 (x - 6)
= (x + 4)(x - 6)

Thus, the required expression equivalent to (x + 9)(x - 2) - 9x - 6 is  (x + 4)(x - 6).

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Answer:  -x - 5y + 19 = 0, choice A

All we're doing is adding 19 to both sides to get everything on the same side.

General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.

Answer:

Step-by-step explanation:

The first 2 pieces of this function agree at pi/4, so we will set them equal to each other and sub in pi/4 for x to solve for k:

[tex]ksin(\frac{\pi}{4})+(\frac{\pi}{4})^2=\frac{\pi}{4}+2[/tex] and

[tex]k(\frac{\sqrt{2} }{2})+\frac{\pi^2}{16}=\frac{\pi}{4}+2[/tex] and we'll multiply everything by 16 to get rid of the fractions. Doing that gives us:

[tex]8k\sqrt{2}=4\pi+32-\pi^2[/tex] and

[tex]k=\frac{4\pi+32-\pi^2}{8\sqrt{2} }[/tex] so

k = 3.067

The next one is a bit tricky if you're not up on your natural log equations.

Again, we set these equal to each other because they meet at the value of e. We sub in e for x and solve for m:

[tex]x +2=mlne^x[/tex]

We'll sub in e for x. ln of e to the x power is equal to x, so

e + 2 = me and

[tex]m=\frac{e+2}{e}[/tex] so

m = 1.736

Hope that helps!

Answer:

200 bags are needed

Step-by-step explanation:

First let us determine the area of the corn field:

Shape of cornfield = square

Area of a square = Length × Length

where: Length = 100 yards

∴ Area = 100 × 100 = 10,000 square yards

1 bag of fertilizer is needed to cover 50 square yards:

50 square yards = 1 bag of fertilizer

[tex]\therefore 1 \ square\ yard\ = \frac{1}{50}\ bag\\10,000\ square\ yards\ =\ \frac{1}{50} \times 10,000 = \frac{10l000}{50} \\ = 200 bags[/tex]

Hence, 200 bags are needed.

Answer:

200 bags are needed

Step-by-step explanation:

I did the test and got it correct good luck everyone !!

Step-by-step explanation:

Notice that 15 squared = (3 * 5)^2 = 9 * 25 = 225.

So the area of the cornfield can be 225 square acres.

Answer:

x = 8

Step-by-step explanation:

4/x = 5/10

=> 4/x = 1/2

=> 4 x 2 = x

=> 8 = x

=> x = 8

Q is located at (0,6)

The translation rule is [tex](x,y) \to (x+7,y-5)[/tex] which says to add 7 to the x coordinate and subtract 5 from the y coordinate. Doing that to (0,6) moves it to (7,1) which is where point Q' is located.

In other words, if you shift point Q(0,6) seven units to the right and five units down, then it arrives at Q ' (7,1)

The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].

Note - There are typing mistakes in the question. Correct statement is presented below:

Point Q' is the image of [tex]Q(0,6)[/tex] under the translation [tex](x,y) \to (x+7, y-5)[/tex]. What are the coordinates of Q'.

In this question we should use the point and the operation described in statement. Vectorially speaking, a translation is defined by the following operation:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]Q(x,y) = (0,6)[/tex], then the coordinates of [tex]Q'(x,y)[/tex] are:

[tex]Q'(x,y) = Q(x,y) + (7,-5)[/tex]

[tex]Q'(x,y) = (0,6) + (7,-5)[/tex]

[tex]Q'(x,y) = (7, 1)[/tex]

The coordinates of Q' are [tex]Q'(x,y) = (7, 1)[/tex].

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Answer:

0.003, 5/1000, 9/1000

Step-by-step explanation:

0.003 is thousandths.

5/1000 is thousandths.

9/1000 is thousandths.

I converted them to fractions.

5/1000 is already a fraction

Same for 9/1000

0.003=3/1000

So 3/1000, 5/1000, 9/1000

Answer:

50

Step-by-step explanation:

889*27=24003

889*27+50=24053

24053

-24003

00050

Answer:

4

Step-by-step explanation:

2(3x-2)=20

3x-2=10

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

False because 22 + 32 =54

Answer:

No. 22+32=54

Step-by-step explanation:

Answer:

8x + 60

Step-by-step explanation:

4(x + 5) + 2(x - 10) + 2(x + 30)

= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)

= 8x + 60

Answer:

Distance  =  5.099

Step-by-step explanation:

Answer:

First, distribute the 4.

2x times 4  = 8x

3x times 4 = 12x

then add/ combine like terms.

8x + 12x = 20x

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

distribute the 4 to the 2x and 3x: 4 * 2x= 8x and 4 * 3x= 12x

then add the x's together: 8x+12x=20x

so the answer is 20x

Answer:

The first one, 2.2289<2.297

Step-by-step explanation:

Answer:

The answer is 2.2289<2.297 because if you look in the hundredths place there is a 9 in 2.297 but in 2.2289 there is an 2 and 9>2 so that is your answer.