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3 years ago

What are the coordinates for y = 3x + 5 y= -2x + 20

Mathematics

2 answers:

Dmitry [639]3 years ago

7 0

Y = 3x + 5
(0,5) (1,8)

y = -2x + 20
(0,20) (1,18)

ladessa [460]3 years ago

5 0

x=16

y=-12

Hope this helped :T

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An aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet. What is the volume of the aquarium

I am Lyosha [343]

Assuming that the aquarium is rectangular, the formula to work out the volume would be
V = L x H x D
Considering that 1 gallon = 231 inches³
Multiply both by 33.75 to get the total number of inches³ (volume)
231 x 33.75 = 7796.25 inches³

If you also want the depth, read on...

Also, there are 12 inches in one foot
Length = 2 x 12 = 24 inches
Height = 1.5 x 12 = 18 inches

Now we can fill in the information we know

7796.25 = 24 x 18 x D
To work out D, we divide the volume by the values we know
7796.25 / 18 = 433.125
433.125 / 24 = 18.046875 inches
18.046875 / 12 = 1.50390625 feet
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3 years ago

Simplify the expression 5 (-3.4x - 4) + (3x + 21)

stellarik [79]

Answer: it's -17x^2-17x+21

Step-by-step explanation: combine like terms (CLT)

8 0

3 years ago

Solve for X and Y 20x 25x 7x 5y 20x

hammer [34]

9514 1404 393

Answer:

(x, y) = (5, 9)

Step-by-step explanation:

We must find the value of x before we can find the value of y. Fortunately, simply adding the arcs around the circle will give an equation for x.

25x +20x +7x +20x = 360 . . . . angles in degrees

72x = 360 . . . simplify

x = 5 . . . . . . divide by 72

The value of the external angle at J is half the difference of arcs GL and HK. That is, ...

5y = (25x -7x)/2 = 9x = 9(5) . . . . simplify, fill in for x

y = 9 . . . . . . divide by 5

(x, y) = (5, 9)

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3 years ago

How do you simplify 6 by the power of negative 2 multiplied by 6 by the power of 3

Liono4ka [1.6K]

Answer:

Keep in mind the rules.

When we multiply terms with same bases we keep one base and add the exponents.

Step-by-step explanation:

$= {6}^{ - 2} \times {6}^{3} \\ = { 6}^{ - 2 + 3} \\ = {6}^{1} \\ = 6$
Hope this helps.

7 0

2 years ago

Y equals equation for the line that passes through the points (-6,2) and (1,16)

8_murik_8 [283]

Slope-intercept form: y = mx + b

[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]

To find the slope, you use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in the two points

(-6, 2) = (x₁ , y₁)

(1, 16) = (x₂ , y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{16-2}{1-(-6)}$ [two negatives cancel each other out and become positive]

$m=\frac{16-2}{1+6}$

$m=\frac{14}{7}$

m = 2 Now that you found m, plug it into the equation

y = mx + b

y = 2x + b To find b, plug in one of the points into the equation

(-6, 2)

y = 2x + b

2 = 2(-6) + b

2 = -12 + b Add 12 on both sides

14 = b

(1, 16)

y = 2x + b

16 = 2(1) + b Subtract 2 on both sides

14 = b

Now that you found b, plug it into the equation

y = 2x + 14

8 0

3 years ago