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3 years ago

11

Write the equation of the line that

1 answer:

Misha Larkins [42]3 years ago

7 0

Answer: y = -1/5x + 2

Work in pic:

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A mechanical device makes a clicking sound every 3 seconds. If the device was plugged on for 15 hours, calculate the number of t

Blizzard [7]

900 times

Why?

15•60=900

(The 60 is because there are 60 mins in an hour).

Hope this helps!!

8 0

3 years ago

Which number, best describes

GaryK [48]

Answer:

B

Step-by-step explanation:

It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.

6 0

3 years ago

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

Arte-miy333 [17]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

$A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}$

so

$120=xy+2x^{2} +2y^{2}$ -----> equation A

$x=y+5$ -----> equation B

substitute equation B in equation A

$120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0$

using a graphing calculator to resolve the quadratic equation

the solution is

$y=2\ cm$

Find the value of x

$x=2+5=7\ cm$

Find the perimeter of rectangle

The perimeter of rectangle is equal to

$P=2(x+y)\\P=2(7+2)=18\ cm$

3 0

4 years ago

Find the missing coordinate if the ordered pair is to be a solution to the equation 3x + y = 9: (?,-9)

maksim [4K]

X equals 6

hope this helps just plug in the y value int the equation and solve

6 0

3 years ago

Complete the expression that represents the table<br><br> Y=___x

bezimeni [28]

Answer:

The equation that represents the table is:

$y=\frac{9}{2}x$

Step-by-step explanation:

Taking two points from the table

(2, 9)

(4, 18)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:9\right),\:\left(x_2,\:y_2\right)=\left(4,\:18\right)$

$m=\frac{18-9}{4-2}$

$m=\frac{9}{2}$

As the slope-intercept form is

$\:y=mx+b$

Plugging (2, 9) to find the y-intercept 'b'

$9=\frac{9}{2}\left(2\right)+b$

$\mathrm{Switch\:sides}$

$\frac{9}{2}\left(2\right)+b=9$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$\frac{9}{2}\cdot \:2+b=9$

$9+b=9$

$b=0$

so the equation becomes

$\:y=mx+b$

$m=\frac{9}{2}$

$b=0$

$y=\frac{9}{2}\left(x\right)+0$

$y=\frac{9}{2}x$

Therefore, the equation that represents the table is:

$y=\frac{9}{2}x$

The graph of the equation is also attached below.

6 0

3 years ago