Find the missing variable. 3k+4(-k+2)=14k-22

Answer:

y = 1/2x - 3.5

Step-by-step explanation:

so lets start by finding the equation of the line AB

we know the y-intercept is 4 from the point 0,4 so we know it'll look something like this

y = mx + 4 and we can plug in the other point we know -> 0 = m(-2) + 4  -> 4 = m(-2) -> m = -2 so the full equation of the line is y = -2x + 4

ok now we can find the other line. we know that perpendicular lines have an opposire reciprocal slope so in this case -2 would turn into 1/2

y = 1/2x + b

now lets plug in point C

-1 = (1/2)(5) + b

-1 - (2.5) = b

-3.5 = b

so the equation is y = 1/2x - 3.5

Answer:

[tex]y=-\dfrac12 x + \dfrac32[/tex]

Step-by-step explanation:

Equation of line AB:

Let A = [tex](x_1,y_1)[/tex] = (-2, 0)

Let B = [tex](x_2, y_2)[/tex] = (0, 4)

Use equation of slope to find slope m:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4 -0}{0+2}=2[/tex]

Use point-slope form for linear equation:

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

[tex]\implies y-0=2(x+2)[/tex]

[tex]\implies y =2x+4[/tex]

Equation of line passing through C

If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.

⇒ [tex]m=\dfrac{-1}{2}=-\dfrac12[/tex]

Use point-slope form for linear equation and [tex](x_1,y_1)[/tex] is point C:

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

[tex]\implies y+1=-\dfrac12 (x-5)[/tex]

[tex]\implies y=-\dfrac12 x + \dfrac32[/tex]

Answer:

Jack ran 1/4 of a mile.

Step-by-step explanation:

Step-by-step explanation:

jack ran 1/4 of a mile more than jack did

30

factors of 6: 6 12 18 24 30

factors of 5: 5 10 15 20 25 30

so its 30

or simply multiple the denominators 6×5=30

Answer:

i) Area = 25 m²

ii) slope of roof = 36.87°

Step-by-step explanation:

(i)  Let the midpoint of AB = M

Find BC by using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Legs = MB and MC, hypotenuse = BC

⇒ 1.5² + 2² = BC²

⇒ 6.25 = BC²

⇒ BC = √(6.25) = 2.5

Area of a rectangle = width x length = BC x BE

⇒ area of BCFE = 2.5 x 5 = 12.5

⇒ area of ACFD = area of BCFE = 12.5

Therefore area covered by tiles = 12.5 + 12.5 = 25 m²

ii)

The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.

Using sin(A)/a = sin(B)/b = sin(C)/c

sin(90)/2.5 = sin(B)/1.5

0.4 = sin(B)/1.5

0.6 = sin(B)

∠B = 36.87°

Answer:

∠2 = ∠5 (co-interior angles)

∠2 = 3x - 20

∠5 = x + 20

So,

∠2 = ∠5

3x - 20 = x + 20

3x - x = 20 + 20

2x = 40

x = 40/2

x = 20

Hope it helps ⚜

Answer:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

x = −20

Step-by-step explanation:

branliest

Answer:

[tex]cos(\theta)=\frac{\sqrt{11}}{6}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

2/10= 0.2

10/2= 5

Is this what u are looking for?

Answer:

Solving an Inverse Variation Problem

-Write the variation equation: y = k/x or k = xy.

-Substitute in for the given values and find the value of k.

-Rewrite the variation equation: y = k/x with the known value of k.

-Substitute the remaining values and find the unknown.

Step-by-step explanation:

yeah

Answer: 135 minutes

Step-by-step explanation:

45/7= 6.42857142857

6.42857142857 x 21 = 135

Answer: 7 3/5 + 2 1/2 = 10 1/10

Step-by-step explanation:

Write the fractions to have like denominators to make it easier to add.

7 3/5 will become 7 6/10

2 1/2 will become 2 5/10

Rewrite them as improper fractions:

7 6/10 will become 76/10

2 5/10 will become 25/10

Now add.

76/10+25/10=101/10

Rewrite the sum as a mixed number

101/10 will become 10 1/10

Answer: 5

Step-by-step explanation:

Answer:

[tex]x=-4\pm2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]2x^2+16x-8=0\\\\x^2+8x-4=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-8\pm\sqrt{(8)^2-4(1)(-4)}}{2(1)}\\ \\x=\frac{-8\pm\sqrt{64+16}}{2}\\\\x=\frac{-8\pm\sqrt{80}}{2}\\ \\x=\frac{-8\pm4\sqrt{5}}{2}\\ \\x=-4\pm2\sqrt{5}[/tex]

Answer:

Total number of students= 5

Each ate = 2/3

Total amount eaten=?

Then,

2/3×5

=10/3

Hence 10/3 is the total amount eaten.

Answer:

How to find the mode

Step-by-step explanation:

First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.

Your mode would be 5.

Good luck :)

Answer:

D) x + y = 20

9x + 6y = 168

Step-by-step explanation:

x, y, is in pound, the weight

$168 is money, $9, $6

thankss for the point and i appreciate if mark my answer as brainliest <3

Answer:

Step-by-step explanation:

Given:

Required equations:

Answer:

179

Step-by-step explanation:

- 24 × - 8 -13

(- 24 × - 8) - 13

192 - 13

  179

Hope this helps!

Hi!

"The quotient of" means you divide, so the quotient of 20 and x means you divide 20 by x:

20:x

Now, increase by 7:

(20:x)+7 (Answer)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts :)

❖Sparkles❖ here to help

 [tex]\dfrac{20}{x} +7[/tex]

Quotient is defined as when divide one number by another, the result is called the quotient.

The quotient of 20 and x, increased by seven

The following are possible interpretations of the given expression.

[tex]\dfrac{20}{x} +7[/tex]

Here, "quotient" is the answer to a division.

Learn more about quotient here:

https://brainly.com/question/27796160

#SPJ2

Answer:

figure it out your self stop having other people do your work for you

Step-by-step explanation:

Answer:

I can't really tell my vision is probably blurry

Step-by-step explanation:

Answer:

41.6

Step-by-step explanation:

54 * 32 = 1728

square root of 1728 is 41.6

Hope this helps!

Answer:

Step-by-step explanation:

2.5 Cubic Meters =2500000 Cubic Centimeters

(1m³ = 1000000cm³)

Answer:

SLOPE IS = 2

Step-by-step explanation:

to find the slope you should remeber the slope equation:

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

[tex](x_{1} ,y_{1} )=(-4,-1)\\(x_{2} ,y_{2} )=(-3,1)[/tex]

[tex]M=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\M=\frac{1-(-1)}{-3-(-4)}[/tex]

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

SLOPE IS =2

Answer:

Step-by-step explanation:

We need to solve in the most hard way.

Equation simplified:

Solve left to right:

If we solve this separately, starting with 2 1/4 * 4/5 without dividing 3/5, we would be doing it wrong.

If we do it like this, we would get the correct answer.

2 1/2 is the answer.

Experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Experimental Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event during the experiment.

Given information-

Total number of sections in a spinner is 3.

Total number of times the trials done is 80.

The three section table given in the problem has the values as,

The experimental probability of the arrow stopping over Section 1 has to be find out.

As the experimental probability of an event is the ratio of number of times it took place to the total trails. Thus the experimental probability of the arrow stopping over Section 1 is,

[tex]P=\dfrac{20}{80}\\P=\dfrac{1}{4}\\P=0.25[/tex]

Thus experimental probability of the arrow of spinner (rotated 80 times) stopping over Section 1 is one fourth or 0.25.

Learn more about the experimental probability here;

https://brainly.com/question/8652467

Answer: 18

Step-by-step explanation:

We want to find out how many letters each postman can sort in an hour to make the process easier. Since we're already told that 10 postmen can sort 500 letters in 30 minutes, we can use that info to find that each postman can sort 100 letters per hour as 10 postmen would be able to sort 1000 letters in 1 hour.

Then, we can apply this info to find out how many postmen can sort 600 letters in 20 minutes. We can multiply the time and task each by 3 to find that this is the same rate as sorting 1800 letters in 1 hour, so the answer is 18 postmen.