Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).

Answer:

x = -28/11

Step-by-step explanation:

-2(4x + -4) - 3x - 2 =34

Distribute

-8x+8 -3x-2 =34

Combine like terms

-11x +6 = 34

Subtract 6 from each side

-11x+6-6 = 34-6

-11x = 28

Divide each side by -11

-11x/-11 = 28/-11

x = -28/11

Answer:

x= -28/11

Step-by-step explanation:

Multiply -2 by 4x +4

That equals -8x+8

So the equation is now

-8x+8+3x -2 = 34

Now combine  like terms

11x+6=34

Subtract 6 from both sides

11x=28

divide by 11 on both sides

x =  -28/11

Answer:

Step-by-step explanation:

Given P to be the point that divides the coordinates J and K in the ratio 1:3

then the coordinate of point P will be xpressed as;

P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]

Given J = (-4, 11) and K = (8, -1)

[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]

substituting the given parameters into the line division formula

[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]

Hence the coordinates of P is (-1, 8)

Answer:

M(3/2,−9/2)

explaination:

the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )

Answer:

Step-by-step explanation:

Put (-6,0) and (0,3) into a table of values

form of the equation: mx+b

x -6 0

y 0 3

3/-6=-0.5 (m)

3=b (the value of y when x=0)

equation: y=0.5x+3

Answer:

12/35

Step-by-step explanation:

Given the expression;

-4/5(3/5)(-6/7)(5/6)

First multiply the first two brackets

-4/5×3/5

= -12/25

Multiply the last expression in its lowest term

= -6/7×5/6

= -30/42

= -15/21

= -5/7

Multiply the resulting expressions together

= -12/25×-5/7

= -12/5×-1/7

= 12/35

Hence the beat estimate for the actual product is 12/35

Answer:

B

Step-by-step explanation:

Took the test ;)

Answer:

8

Step-by-step explanation:

2 (2)(2)

2 times itself 3 times.

Answer: 8

Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.

If this helped please mark Brainliest!!!

Answer:

C

Step-by-step explanation:

[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]

The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y

To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.

Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.

Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.

Putting it all together, we have:

15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.

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Hey there!☺

[tex]Answer:\boxed{-z-3}[/tex]

[tex]Explanation:[/tex]

[tex]-3-z[/tex]

-3 + -z Add together

-z - 3

Hope this helps!

The system of equation should be C) 250x+150y=550 ; 180x+120y=420

250x+150y=550 ; 180x+120y=420

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Answer:

  C.  It is just right.

Step-by-step explanation:

We want to compare the ratios ...

  bags : liters = 15 : 2

and

  bags : liters = 90 : 12

If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:

  (15)(6) : (2)(6) = 90 : 12

The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.

Answer:

C its just right

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

(7/20)=(x/160)

160(7/20)=x

x=56

Answer:

[tex]XZ=146[/tex]

Step-by-step explanation:

Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:

[tex]XM+MZ=XZ[/tex]

[tex]XM=MZ[/tex]

Identify your known values:

[tex]XM=2x+35\\MZ=5x-22\\[/tex]

Solve for [tex]x[/tex]:

[tex]2x+35=5x-22[/tex]

Subtract [tex]35[/tex] from both sides of the equation:

[tex]2x=5x-57[/tex]

Subtract [tex]5x[/tex] from both sides of the equation:

[tex]-3x=-57[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:

[tex]x=19[/tex]

Substitute:

[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]

Solve:

[tex]XM=73\\MZ=73[/tex]

Again, we know:

[tex]XM+MZ=XZ[/tex]

Therefore:

[tex]XZ=73+73[/tex]

Solve:

[tex]XZ=146[/tex]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Answer:

D -$7.20

Step-by-step explanation:

so your answer is -$7.20

I hope this helps

$7.20 will be Jennys total allowance.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.

If she forgets three times in a month.

Thus, Jennys total allowance will be

=2.40 x 3

=$7.20

Hence, $7.20 will be Jennys total allowance.

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Answer:

2.80×50

Step-by-step explanation:

2.80×50 step by step

Answer:

answer is 5

Step-by-step explanation:

I used a calculator

Answer:

254c = 333

Step-by-step explanation:

254c = 333

Answer:

30 minutes

Step-by-step explanation:

Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]

Answer:

In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.

In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.

In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Let the common multiplier of the given ratio be x.

Therefore,

Number of males = 8x

Number of females = 6x

[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]

Answer:

d

Step-by-step explanation:

Answer:

x=6.2

Step-by-step explanation:

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

6x-12+3x+1=5x+21-x-1

combine like terms:

9x-11=4x+20

move variables to same side by sub 4x and add 11

5x=31

x=6.2

Answer:

≈ 7.28

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)

AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]

     = [tex]\sqrt{2^2+7^2}[/tex]

     = [tex]\sqrt{4+49}[/tex]

     = [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )

Answer: The Answer is C

I just took the test

Step-by-step explanation:

The scale factor of the dilation is 3. The correct option is C.

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

From the given image:-

The initial size in the image is calculated as 11 - 2 = 9

The dilated size in the image is calculated as 5 - 2 = 3

The scale factor will be given as:-

Scale factor  = ratio of the initial size to the dilated size

Scale factor  = Initial size / Dilated size

Scale factor = 9 / 3 = 3

Therefore, the scale factor of the dilation is 3. The correct option is C.

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Answer:

Step-by-step explanation:

Let us take this one by one. One color can pair with three colors.

Green = Maroon, Blue, Wheat = GM, GB, GW

Maroon = Green, Blue, Wheat = MG, MB, MW

Blue = Green, Maroon, Wheat = BG, BM, BW

Wheat = Green, Maroon, Blue = WG, WM, WB

So the combinations are:

GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB

Which is letter B.

Answer:

A.

Step-by-step explanation:

Answer:

1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.

Hope this helps!

Multiply the fraction by 5/5 makes them equivalent fraction.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/2 and 5/10

Now, to make fraction equivalent we have to find the factorizing factor.

As, 1/2 x 5/5= 5/10

Hence, multiply the fraction by 5/5 makes them equivalent fraction.

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Answer:

A and C

Step-by-step explanation:

Took the test :/

Answer:

7x+y, when x+4 and y+5

7(4) + 5=

28+5=

33

Step-by-step explanation:

Hope this helps. :)