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3 years ago

What is the solution of the system of equations? -4x+3y=-12 -2x+3y=-18

Mathematics

1 answer:

Kisachek [45]3 years ago

7 0

Answer:

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

- 2x + 3y = - 18 Subtract

-2x = 6 Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.

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If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?

Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

$A=(4)(16)=64\ units^2$

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=64\ units^2$

substitute

$64=b^2$

take the square root both sides

$b=8\ units$

therefore

The length side of the square is 8 units

7 0

3 years ago

in Math class we are Learning about Pi which equals 3.14 how do you find the diameter and radius i dont understand it can you gu

kirill [66]

If you're finding diameter or radius based on circumference, use the formula C = πd. You would divide the circumference by pi to get the diameter, then divide the diameter by 2 to get the radius.

If you're finding diameter or radius based on area, use the formula A = πr^2. You would divide the area by pi, then find the square root of that value which is the radius. Just multiply the radius by 2 to find diameter.

7 0

3 years ago

Help me please i dont understand

ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: $\frac{y_2-y_1}{x_2-x_1}$ which is essentially $\frac{rise}{run}$ . The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: $\frac{4- (-2)}{2- (-3)} = \frac{6}{5}$ that's the rate of change

8 0

2 years ago

Graph the function y=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-2-5" id="TexFormula1" title="\sqrt{x} -2-5" alt="\sqrt{

Rashid [163]

Answer:

(3, -4)

Step-by-step explanation:

The correct equation is:

$y=\sqrt{x-2}-5$

From the list of given points, we have to identify which point lies on the graph. This can be done by using the value of x-coordinates from the given points and see if they result in the corresponding y-coordinate:

For point (1, 4)

$y=\sqrt{1-2}-5=\sqrt{-1}-5$ , This is not equal to 4, so it does not lie on the graph of given function.

For point (3, -4)

$y=\sqrt{3-2}-5=\sqrt{1}-5=-4$ , The answer ans corresponding y-coordinate are the same. This means, (3, -4) point lies on the graph of given function.