Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer.

Answer:

[tex](4x - 3)(x - 2) = 0[/tex]

Last answer is correct

Step-by-step explanation:

[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]

hope this helps

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good luck! have a nice day!

Answer:

0.17%

Step-by-step explanation:

if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.

formula for simple interest = p x r x t divided by 100

difference : 918

so,  22500 x r x 24 divided by 100 = 918

22500 x r 24 = 91800

24r = 4.08

r = 4.08 divided by 24 = 0.17%

Please mark brainiest.

Answer & Step-by-step explanation:

The equation of a circle is...

[tex](x-x1)^2+(y-y1)^2=r^2[/tex]

So all we have to do is plug in the numbers we are given.

So, the equation of the circle is (x - 7)² + (y + 3)² = √7²

Answer:

[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]

Step-by-step explanation:

Just finished this quiz and checked the answer key.

Hope this helps

Answer:

A

Step-by-step explanation:

[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]

Hope this helps!

Answer:

x( x-8)(x+8)

Step-by-step explanation:

x^3 - 64x

Factor out an x

x( x^2 -64)

This is the difference of squares x^2 -8^2 which is a^2 - b^2 = (a-b)(a+b)

x( x-8)(x+8)

Answer:

[tex]x(x - 8)(x + 8)[/tex]

Step-by-step explanation:

[tex] {x}^{3} - 64x \\ x( {x}^{2} - 64) \\ x( {x}^{2} - {8}^{2} ) \\ = x(x - 8)(x + 8)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

Answer:1. (a) 8=z-3 ---> z=5

2.(d) 12z=60----> z=5

3.(e) 12+z=17 ----> z= 5

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A. 8 = z + 3        →  subtract 3 from both sides:

    5 = z

-------------------------------------------------------------------

B. z - 1 = 6z        →  subtract z from both sides:

     -1 = 5z          →  divide both sides by 5:

    -0.2 = z

--------------------------------------------------------------------

C. 20 = 40 ÷ z    →  multiply both sides by z:

    20z = 40       →  divide both sides by 20:

       z = 2

--------------------------------------------------------------------

D. 12z = 60         →  divide both sides by 12:

     z = 5

---------------------------------------------------------------------

E. 12 + z = 60      →  subtract 12 from both sides:

      z = 48

Answer:

b = 7

Step-by-step explanation:

4b + 11 = 39

Subtract 11 to both sides

4b = 39-11

4b = 28

Dividing both sides by 4

b = 7

Answer:

x ≤ 2

Step-by-step explanation:

2 red rose cost  $ 18

x flowers cost $ 11x

"At most "  means ≤.

11x + 18 ≤ 40

11x ≤ 40 - 18

11x ≤ 22

x ≤ 2

Using inequality we know that Amanda can purchase 2 lily flowers.

So, the inequality can be:

Now, the inequality will be:

Let, the number of lilies is x and Amanda purchases 2 lilies:

Therefore, using inequality we know that Amanda can purchase 2 lily flowers.

Know more about inequality here:

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Answer:

y< -1/3

Step-by-step explanation:

To solve the inequality, we must get the variable, y, by itself.

9y< -3

Perform the opposite of what is being done to the equation, to both sides.

y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.

9y/9 < -3/9

y< -3/9

-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).

y< (-3/3) / (9/3)

y< -1/3

Answer: 2.18 kilometres

Step-by-step explanation:

First we take down the information given to us

Maria's house to library (distance) = 3.56 km

Simon's house to library (distance) = 1.38 km

Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house

i.e

3.46km - 1.38km  = 2.18km

there for Maria lived 2.18 kilometres farther from the library compared to Simon.

Answer:

12

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

Answer:

A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

Step-by-step explanation:

Answer:

B.3^9

Step-by-step explanation:

3^5•3^4=3^5+4=3^9

Answer:

Decreased 24 degrees

Step-by-step explanation:

subtract the 17 from Saturday which gets you to 0 but it ends up being -7 on Sunday so i did 17+7 and it gives 24 so that's how much it went down

Answer: -7.875

Step-by-step explanation:

All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)

The equation of this line is y = (5/3)x

Answer:

a. length and width

Step-by-step explanation:

option a is correct answer

Answer:

Step-by-step explanation:

it’s B

Bro I don't know haha

Answer:

130%

Step-by-step explanation:

1.3=

130/100=

130%

Hope this helps!

Answer:

130%

Step-by-step explanation:

To express a decimal as a percent, you need to multiply it by 100.

1.3×100=

130

1.3 as a percent is 130%

Answer:

(x+8)²-2=0

(x+8+√2)(x+8-√2)=0

x= - 8- √2 =  -9.41 lesser x

x= -8 + √2 = -6.59  greater x

Answer:

[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]

Step-by-step explanation:

[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]

[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]

Answer:

 | -6      0    |

  |  12   21   |

Step-by-step explanation:

When we multiply a matrix by a scalar, each term in the matrix is multiplied by the scalar

3  | -2  0  |

   |  4   7   |

becomes

 | -6  0  |

  |  12   21   |

Answer:

Solution : C

Step-by-step explanation:

This question involves scalar multiplication. Multiply each of the matrix elements by a scalar, in this case 3.

[tex]3\begin{bmatrix}-2&0\\ \:4&-7\end{bmatrix} = \begin{bmatrix}3\left(-2\right)&3\cdot \:0\\ 3\cdot \:4&3\left(-7\right)\end{bmatrix}[/tex]

Simplifying each element, we receive the following matrix,

[tex]\begin{bmatrix}-6&0\\ 12&-21\end{bmatrix}[/tex] - And hence our solution is option c

Answer:

A) Constructing a line perpendicular to a point on a line

Answer:

[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]

Given:

[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]

To find:

[tex](f - g)(x) = f(x) - g(x)[/tex]

Step-by-step explanation:

[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]

Answer:

The answer is x = 4

Step-by-step explanation:

1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9

2. Next you simplify the distributed equation, 3/4x + 6 = 9

3. Now subtract 6 from both sides, 3/4x = 3

4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3

5. Simplify, x = 4

Answer:

x =9

Step-by-step explanation:

2x - 4(4x - 8) = -94

Distribute

2x - 16x +32 = -94

Combine terms

-14x +32 = -94

Subtract 32 from each side

-14x+32-32 = -94-32

-14x =-126

Divide each side by 14

-14x/-14 = -126/-14

x =9

Answer:

9

Step-by-step explanation:

10%+50%=60%

60% of 6000=3600

a)3600 people had left the match when it ended

b)6000-3600=2400

40% of the crowd was still there

Answer:

1/13

Step-by-step explanation:

There are 4 nines in a deck so the probability is 4/52 = 1/13

The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Total outcomes = 52 cards

         Number of cards which contain 9 = 4 cards

Probability = favorable outcomes/ total outcomes

                   = 4 / 52

                  = 1/13

Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

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Answer: A point

Step-by-step explanation:

To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersection.