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3 years ago

Solve the following system of equations:

Mathematics

1 answer:

Talja [164]3 years ago

8 0

Answer:

x=1,y=3

correct answer is (1,3)

Step-by-step explanation:

We can quickly eliminate y by subtracting one equation from the other

(-2x+y=1)-(-4x+y=-1)

2x=2

x=1

plug x=1 into equation 1

-2(1)+y=1

y=1+2=3

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A=755y/t^2 <br> Solve for y.

timofeeve [1]

Answer:

y = At²/755

Step-by-step explanation:

A = 755y/t²

multiply both sides by t²

At² = 755y

Divide both sides by 755

At²/755 = y

Flip

y = At²/755

5 0

3 years ago

A picture inside a frame is 2 inches longer than it is wide. The picture is in a frame that has a width of 3 inches on each side

geniusboy [140]

Answer:

The dimensions of the frame are 15 in x 13 in

Step-by-step explanation:

Let

x ----> the length of the picture

y ----> the width of the picture

we know that

$x=2+y$ -----> equation A

The area of the picture, including the frame is

$A=(x+6)(y+6)$

$A=195\ in^2$

$195=(x+6)(y+6)$ ----> equation B

substitute equation A in equation B

$195=(2+y+6)(y+6)$

solve for y

$195=(y+8)(y+6)\\y^2+6y+8y+48=195\\\\y^2+14y-147=0$

solve the quadratic equation by graphing

The solution is y=7 in

see the attached figure

<em>Find the value of x</em>

$x=2+7=9\ in$

Find the dimensions of the frame

$x+6=9+6=15\ in$

$y+6=7+6=13\ in$

therefore

The dimensions of the frame are 15 in x 13 in

7 0

3 years ago

A ball was thrown with an initial upward velocity of 80 ft./s from an initial height of 4 feet right in equation for H the heigh

ella [17]

That would be-
f(t)=80t+4
How I worked that out-
f(x)=mx+b
b= the y intercept which is 4
mx= your slope, which is 80t
f(t) is your height

5 0

4 years ago

Noah is deciding which of 2 juice containers he should buy. One container is in the shape of a cylinder with radius 3.5 centimet

Gelneren [198K]

Answer: The second container.

Step-by-step explanation: The second container because its a 3 dimensional figure. The first container only contains a radius and height. Thats only two measurments. The second container contains three measurments. Width, legnth, and height.

8 0

3 years ago

Which expression is equal too |-12| -|3|

hammer [34]

Answer:

Step-by-step explanation:

12 - 3 = 9

7 0

3 years ago

Read 2 more answers