Ask question

Ask question

All categories

3 years ago

15

Which set of coordinates satisfies the equations 3x − 2y = 15 and 4x − y = 20? (2, -7) (1, -6) (5, 0) (0, -7.5)

1 answer:

maxonik [38]3 years ago

5 0

I feel that the best way to solve is by using elimination method. This is what you do.....
3x - 2y = 15
4x - y = 20
Multiply the bottom equation with -2.
3x - 2y = 15
-8x + 2y = -40
Now add both equations.
-5x = -25
Divide.
x = 5
Now plug in your x-value into any one of the original equations.
3(5) - 2y = 15
15 - 2y = 15
Subtract 15 from both sides.
-2y = 0
Divide.
y = 0
So your solution is (5,0).
I hope this helps love! :)

You might be interested in

There are 6 minutes of commercials for every 24 minutes of television. How many minutes of commercials are there in 1 hour and 3

mafiozo [28]

Answer:

$16\ minutes$

Step-by-step explanation:

For every $24\ minutes$ of television time of commercials = $6\ minutes$

% of commercials $\=frac{6}{24}\times 100=25\%$

Now when time of television $=1\ hour\ 36\ minutes=60+36=96\ minutes$

$25 \%\ of 96=\frac{25}{100}\times 96=\frac{96}{4}=16\ minutes$

6 0

3 years ago

PLEASE HELP. I'LL GIVE BRAINLIEST.

vova2212 [387]

<h2>Answer:</h2>

The answer is 16.

<h2>Step-by-step explanation:</h2>

Since the 8x is positive, the equation must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

$\frac{8x}{2} \\\\4^2=16\\$

The last number must be 16. Let's check it.

$(x+4)^2=x^2+8x+16$

6 0

2 years ago

One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

So

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

3 0

3 years ago

A plant 3 in. tall grows an average of 0.5 in. each month. Which equation models the flowers height h after x months?

Luden [163]

Answer:the answer is b

Step-by-step explanation:

i cant really explain how i know its kind of second natural to me now

7 0

2 years ago

Help please! if it’s correct ill give brainliest

Evgen [1.6K]

Answer:

$radius = \sqrt{ {15}^{2} + {36}^{2} } = 39 \\ area = 4 \times {39}^{2} \times \pi = 19103.76$

6 0

3 years ago