Graph the linear equation below. 2x - 3y = 9

Answer:

Step-by-step explanation:

Equation of the line y = mx + c

The new line is perpendicular to 2x - 3y = -5

                                         - 3y = - 5 - 2x

                                           3y = 2x + 5

                                            y =[tex]\frac{2x}{3} + \frac{5}{3}[/tex]

Since the lines are perpendicular to each other : [tex]m_{1} . m_{2} = -1[/tex]

where [tex]m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\[/tex].

Slope of the given line

                [tex]m_{1} = \frac{2}{3}[/tex]

Slope of the new line

                [tex]\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}[/tex]

The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5

                            [tex](y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}[/tex]

Answer:

39

Step-by-step explanation:

the total value of the angle needs to be 150 degrees 150+6=156/4=39 4(39)-6=150

Answer:

Step-by-step explanation:

Let older brother age be x and the age difference between the brothers be y

Younger brother's current age = x - y

When older brother's age was at x - y, younger brother's age was x - 2y = 2

When young brother's age will be at x, older brother's age will be x + y = 20

Subtracting the first equation from the second: 3y = 18

y = 6

x = 14

So the older brother is 14 and the younger brother is 8.

Sum of three son's ages now = 15 + 11 + 7 = 33

Daddy's age now = 45

Age difference = 12

Each year, daddy's age goes up by 1 while the sum of three son's ages goes up by 3.

Dividing the age difference by the difference in age gain, 12 / (3 -1) = 12 / 2

= 6

So in 6  years when daddy is 51 and the sum of sons at 21, 17 and 13 will be equal.

Answer:

Step-by-step explanation:

older bro age is x

younger bro age is y

age diff = x - y

it was (x-y) years ago when older bro was at age y

younger bro age then was y - (x - y) =2

2y - x = 2

younger bro will be at age x in (x-y) years

older bro age then will be x + (x-y) = 20

2x - y = 20

4x - 2y = 40

adding 2y - x = 2

3x = 42

x = 14

y = 2*14 - 20 = 8

daddy' age, 45 is 12 over the sum of sons (15, 11 and 7)

in 1 yr, dad age +1 n sum of sons +3 = difference of 2

so in 12/2 = 6 yrs they will be the same

Answer:

Ohhk mate

kindly let us know what help u need

Answer:

ok? so what the question?

Step-by-step explanation:

Answer:

33.1

Step-by-step explanation:

First you need to find the area of the circle. The radius is 10 which means that the area is 314. Since a circle has 360 degrees, and the shaded area is 38 degrees, you need to divide 314 by 360 which is 0.87. Then multiply by 38 because the shaded sector is 38. 0.87 x 38 = 33.1.

That is the answer.

3 and 1/6

to check your work, if you do 2+1 you get 3. and to do 3 and 1/6 you must do 6 times 3 which is 18 and add 1 bc that is the numerator. so you get 19/6. 6 can go into 19 3 times giving you 18 which will then leave you with 1 making the answer to this question 3 and 1/6. 3 being for how many times 6 can go into 19. 1 being what is left of 19 after 6 fitting into 19 3 times. and 6 being the denominator.

Answer:

47.4005

Step-by-step explanation:

[tex](11 + x) \div 2 = 7 \\ 11 + x = 14 \\ x = 14 - 11 \\ x = 3[/tex]

[tex](4 + y) \div 2 = 5 \\ 4 + y = 10 \\ y = 10 - 4 \\ y = 6[/tex]

[tex](3,6) - option \: a[/tex]

Answer:

B

Step-by-step explanation:

To know which line plot could represent the data, we take the sum of the miles covered by the runners and check if it adds up to 4 miles for each plot :

Plot 1 :

(1/12 * 1) + (1/8 * 2) + (1/6 * 1) + (1/4 * 2) + (1/3 * 1) + (1/2 * 3) = 2.8333

Plot 2 :

(1/6 * 2) + (1/4 * 2) + (1/3 * 2) + (1/2 * 3) + 1 = 3 +1 = 4 miles

Since the sum of the miles ran by the runners equals 4 miles for the second plot, hence, the second plot could represent the data for the runners.

Answer:

10 + (3 ÷ 24)

You're not showing me the options so I'm just picking a random expression that could possibly be equivalent.

Answer:

Quedan libres 49.9 metros cuadrados en el comedor.

Step-by-step explanation:

Un decámetro cuadrado ([tex]dam^{2}[/tex], antiguamente [tex]Dm^{2}[/tex]) equivale a 100 metros cuadrados, un metro cuadrado ([tex]m^{2}[/tex]) equivale a 10000 centímetros cuadrados ([tex]cm^{2}[/tex]) y 100 decímetros cuadrados ([tex]dm^{2}[/tex]). El área libre del comedor se obtiene al sustraer las áreas cubiertas de los muebles del área total del comedor:

[tex]x = 0.6\,dam^{2}\times \frac{100\,m^{2}}{1\,dam^{2}}- 2\times 2.5\,m^{2} - 6\times 2500\,cm^{2}\times \frac{1\,m^{2}}{10000\,cm^{2}} - 360\,dm^{2}\times \frac{1\,m^{2}}{100\,dm^{2}}[/tex]

[tex]x = 49.9\,m^{2}[/tex]

Quedan libres 49.9 metros cuadrados en el comedor.

Answer:

Step-by-step explanation:

length 5 is hypotenuse because hypotenuse is the longest side.

Answer:

,

Step-by-step explanation:

Answer:

z=12x2

30x-24

x=y=30

z=12x2

Step-by-step explanation:

Answer:

I think z=12

Step-by-step explanation:

1/2=z/24

z=24/2

z=12

Answer:A. A rectangle, 7cm by 5 cm

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.

A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.

From the image, AD = z, FC = x, BF = w and BC = y. Hence:

EB = FC = x.

EF = AD = length = z; AE = FD = height = w

Therefore the dimensions of rectangle AEFD is length z and height w

Answer:

49

Step-by-step explanation:

There is 7 different places each of the 7 people can stand. So you would do 7×7 which equals 49.

Answer:

3x + 9

Step-by-step explanation:

for the y's, you increase by 3

for the b, it's the y-intercept

*y = mx + b

Answer:

no sabe

Step-by-step explanation:

yo no se

Volume of a cone is equal to pi * r^2 * h/3.

In this case:

pi * 6^2 * 9/3

pi * 36 * 3

108pi

Answer: 339.3

Answer: 339.292006588 or V ≈ 339.29

Step-by-step explanation:  Here is the formula that you need...

V = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

1. Multiply π (pi or approximately 3.14) by  [tex]6^{2}[/tex] (36).

2. Multiply your answer from the last step which is 113.097335529 by [tex]\frac{9}{3}[/tex] or 3.

3. Final Answer should be 339.29 for the nearest tenth.

V = π [tex]6^{2}[/tex] [tex]\frac{9}{3}[/tex] which gives you...

V = 339.29

I hope this helped you!!

Answer:

B

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

180-96

180-96 = 84

96 + 84 = 180

Answer:

84

Step-by-step explanation:

Let x equal how much 96 is plussed by to get 180.

96 + x = 180

Switch the equation to subtraction:

180 - 96 = 84

Now, let's check our work!:

96 + 84 = 180

Hope this helps!

Answer:

C

Step-by-step explanation:

Formula for Surface Area of cube :

6  x  [tex]a^{2}[/tex]

In our case, the edges are 8, meaning would we would subsuite a with 8 in the equation. We would do 6 x 64, since [tex]8^{2}[/tex] is 64. 6 x 64 is 384, hence our answer is 384.

The Surface Area of the cube is 384 unit².

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given: the edge of the cube, l= 8 units

Surface area of the cube =  6*l²

                                           = 6*8*8

                                           = 6*64

                                          = 384 unit²

Hence, the surface area of the cube is 384 unit².

Learn more about surface area here:

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Answer:

20 Hours = 45 Houses

27 = 12 Hours

Step-by-step explanation:

The time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Stuart owns a window-washing business. He can wash the windows on 9 houses in 4 hours.

The time taken to wash 45 houses is,

9 houses = 4 hours

1 house = 4 / 9 hours

45 houses = ( 45 x 4 ) / 9 hours

45 houses = 20 hours

The number of houses in 12 hours,

4 hours = 9 houses

1 hour = 9 / 4 houses

12 hours = ( 9 x 12 ) / 4 houses

12 hours = 27 houses

Therefore, the time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.

To know more about an expression follow

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Answer:

9the only correct answer is 9

Answer:

A

Step-by-step explanation:

p-2 ≥ 0

p ≥ 2

if p ≥ 2

p - 2 = 7

p = 9 (accettable)

if p < 2

-p+2 = 7

p = -5 (accettable)

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \huge{1}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Step-by-step explanation:

Given:

Solution:

Answer:

Every integer greater than 1 is either prime or composite.

Step-by-step explanation:

Let us negate this statement.

Assumption - any number greater than 1, is neither prime nor composite.

A prime number has only 2 divisors, and a composite number has at least 3.

Let a number be X such that X >1.

Now X is divisible by 1 (Any integer is divisible by 1)

And X is divisible by X (X/X = 1, if X is not zero)

So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!

So our assumption is wrong, and every integer greater than 1 is either prime or composite.

Answer:

4:12=5:15

in propotion form

4/12=5/15

Step-by-step explanation:

Given :-

Find :-

Using Formula

[tex]\boxed{\tt{\red{\:(Decrease)\:=\:(Sv\:-\:Ev)}}}[/tex]

==> Decrease value = 15000 - 14,000

==> Decrease Value = $1000

Now, Calculate % decrease .

★ % decrease = decrease × 100/Sv

==> % Decrease = 1000 × 100/15,000

==> % Decrease = 100/15