The equation that matches this diagram is
3(y + 200) = 3000.
What is the value of Y.

Answer:

7y+24x = -12

Step-by-step explanation:

Equation of line PQ in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope of {Q

(x0, y0) is the point on the line

Given the line 7x-24y+10=0

Get the slope

-24y = -7x -10

y = -7/-24 x - 10/-24

y = 7/24 x + 5/12

Slope = 7/24

Slope of the line PQ perpendicular to it = -24/7

Substitute m = -24/7 and (-2, 4) into the formula;

y - 4 = -24/7(x+2)

7(y-4) = -24(x+2)

7y - 28 = -24x-48

7y + 24x = -40 + 28

7y+24x = -12

This gives the equation of the line PQ

Draw point A anywhere on this line.

Draw point B on line l, at the distance 12

from point A.

Using a compass, draw a circle with the center in point A and radius

9

Using a compass, draw a circle with the center in point B

and radius 7

Answer:

x= -7/2

y= 5/4

Step-by-step explanation:

x-2y=-11

x+2y = -6

then isolate x and set equal to each other

-2y - 6 = 2y -11

4y = 5

y = 5/4

then solve for x using y.

x+5/2 = -6

x = -7/2

Answer:

Answer: Sin0 = 8/8.5

Step-by-step explanation:

Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).

The Sine of the angle is calculated as

Sin0 = opposite/hypotenuse

We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.

To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,

X² = 3² + 8²

X² = 9 + 64

X² = 73

Adding the square root sign to both sides of the equation, we now have

X = √73

X = 8.5 (approximately)

Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as

Sin0 = opposite/hypotenuse

Sin0 = 8/8.5

Answer:

x-int : 6,  y-int : 9

Step-by-step explanation:

Hope this helps :)

Let me know if you want a full explanation

Answer:

Hat costs 4.00

T-Shirt costs 9.00

Step-by-step explanation:

Let the t-shirt be t and the hat be h

7t+h=67

5t+h=49

Equating by eliminating the h and subtracting

the two equations,

2t=18

t=9.

If t =9 in 5t + h= 49 then

5×9+h=49

45+h=49

h=4

Answer:

The top answer is LMP = LOP by SSS

The bottom answer is line CB = line FE

Answer:

a = ± 5

Step-by-step explanation:

Given

a² + 12² = 13² , that is

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = ± [tex]\sqrt{25}[/tex] = ± 5

Answer:

(4w) > 28

Step-by-step explanation:

Please mark helpful

Answer:

C. 100

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

sample

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Being proportional means that if you divide the Y value by the X number for each ordered pair, they all equal the same number

For this case, this is proportional because you need to multiply by 6 to get the Y value.

A percentage is a way to describe a part of a whole. The percentage change in the price of the TV will be 60.2%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is mentioned that the price of the tv 3 years ago was $500, while the current price of the tv is $199. Therefore, the percentage change in the price of the tv can be written as,

[tex]\rm Percentage\ change = \dfrac{\text{Initial value - Final value}}{Initial\ value} \times 100\%[/tex]

[tex]\rm Percentage\ change = \dfrac{\$500-\$199}{\$500} \times 100= 60.2\%[/tex]

Hence, the percentage change in the price of the TV will be 60.2%.

Learn more about Percentages:

https://brainly.com/question/6972121

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

Answer:

-1

Step-by-step explanation:

Answer:

54 students would have a dog.

Step-by-step explanation:

If 6 out of 10 students have a dog, then multiplying 10 by 9 and 6 by 9 you will get 90 students having a dog.

Answer:

just draw the same rectangle as on the left on the right

Step-by-step explanation:

but when finding area instead of unitsx2 use unitsx4

Answer:

C).21

Step-by-step explanation:

Answer:

i would chose a or b

Step-by-step explanation:

you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer

Answer:

survey 100 randomly selected parents in a theme park

Step-by-step explanation:

random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).

Answer:

hope I'm right good luck

Step-by-step explanation:

2x1x3=6 so the rest is 6 which equals 12

Answer:

Step-by-step explanation:

Well there are 12 beads.

2+1+3=6 and that means there are 6 red beads.

Then 6 red beads+3 Purple beads=9 Beads and 9/12 is the same as 3/4 meaning the probability of picking a purple/red bead IS 3/4

Answer:

270 blinks in 30 minutes

Step-by-step explanation:

9 x 30 = 270

hope this helps :)

Respuesta:

C) impar

Explicación paso a paso:

Solo se puede con un índice impar, ya que al ser negativo su solución no existe en los reales si tiene índice par

Answer:

x^2 -4x -21

Step-by-step explanation:

Here, we want to write a quadratic polynomial

We have the sum as -4

Let us have x as the variable

so the sum of the variables is -4x

while the product is -21 x^2

Two factors of 21 that can work here is -7x and 3x

So we have

x^2 - 7x + 3x -21

= x^2 -4x -21

Answer:

90 males.

Step-by-step explanation:

To find the answer we will divide 45% by 100, and we get 0.45.  Now multiply 0.45 by 200 and you get 90.  Therefore, 90 males is the answer.

Answer:

Step-by-step explanation:

an = 3 + (n-1)11

an = 3 + 11n - 11

an = -8 + 11n OR 11n - 8

Hope that helps!

Answer:

find the last SIMPLIFIED number

11 x 5 = 55

55 simplfiied = 27.5

Step-by-step explanation:

sorry if this is wrong. i tried my best trying to look for the answer