All categories

3 years ago

Solve the system x+2z=30 y+z=12 z=1

Mathematics

1 answer:

monitta3 years ago

6 0

Answer:

x=28 y=11 z=1

Step-by-step explanation:

plug in 1 for z in x+2z=30 to get x+2(1)=30. Then you should get x+2=30 which is x=28.

Then, plug 1 in for the second equation of y+z=12 so you get y+1=12. Then you should get y=11.

You might be interested in

Megamart collects a sales tax equal to 1/16 of the retail price of each purchase. is the amount proportional to the cost of an i

Debora [2.8K]

So examle

if reatil is 16, then tax is 1,
if reatil is 32, then tax is 2

proprtional is if
a/b=c/d
16/1=32/2
16=16
true

it is proportional

4 0

3 years ago

Read 2 more answers

Answer the very simple question below!

zalisa [80]

Answer: 14

Step-by-step explanation: just go to the opposite side of the interger and plz Brainlest would be much appreciated.

5 0

3 years ago

Read 2 more answers

what are the coordinates of the image of the point (–3, 6) after a dilation with a center of (0, 0) and scale factor of 1/3 a. (

dybincka [34]

It's gotta be C.) I'm pretty sure

3 0

3 years ago

Read 2 more answers

❤Please answer❤Yesterday a parking lot had 10 cars parked in the parking lot, 40% were silver, 3 were red, and the rest were blu

Illusion [34]

Answer:

C: 3 Cars

Step-by-step explanation:

40% of 10 is 4.

10 - 4 ( silver cars ) = 6

6 - 3 ( red cars ) = 3

So there are 3 blue cars.

^.^

- Amanda

3 0

3 years ago

Read 2 more answers

Which transformation of AB will produce a line segment A'B' that is parallel to AB?

lyudmila [28]

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. $B = (x,y)$

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (x,y)$

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

$m = \frac{y - 0}{x - 0}$

$m = \frac{y}{x}$

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

$B' = (-x,-y)$

Taking the slope of B'

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (-x,-y)$

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

$m = \frac{-y - 0}{-x - 0}$

$m = \frac{-y}{-x}$

$m = \frac{y}{x}$

Notice that the slope of B and B' is the same;

$m = \frac{y}{x}$

Hence:

Rotation of 180° about point B answers the question

There's no need to check for other options

8 0

3 years ago