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Artist 52 [7]
3 years ago
9

What is the solution to the system of equations?

Mathematics
1 answer:
Over [174]3 years ago
3 0

ANSWER

C) (6,-8)

EXPLANATION

The equations are:

y =  \frac{1}{3}x - 10

and

2x+y=4

We substitute the first equation into the second equation to get:

2x +  \frac{1}{3}x - 10 = 4

We multiply through by 3 to get:

6x + x  - 30= 12

Group similar terms,

6x + x = 30 + 12

7x = 42

Divide both sides by 7 to get,

x =  \frac{42}{7}  = 6

Put this value of x into the first equation to get;

y =  \frac{1}{3} (6) - 10

y = 2 - 10 =  - 8

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Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
Please help. I will mark brainliest answer
leva [86]

Answer:

6) ≈ 904.74                            7) 88

Step-by-step explanation:

use a caulater and the proper equations

to find the volume of a sphere you must use V=4\3•π•r^3 (four thirds times pi time the radius cubed), plug in 6 into "r" in the equation and that should give you roughly 904.74

To find the volume of a pyramid you must use the equation Lwh\3 (length times width times hight product of which is divided by 3) giving you 88

7 0
3 years ago
I need the answer. Please help me . It’s due today
Phoenix [80]

9514 1404 393

Answer:

  graph: lower right

  π units to the right of the graph of f(x)

Step-by-step explanation:

The transformation of f(x) to f(x-h) is a translation to the right by h units.

Here, the function f(x) = 1/2cos(x) is transformed to f(x-π) = 1/2cos(x-π), so is a translation of f(x) to the right by π units.

The graph of the translated function is shown below.

4 0
3 years ago
Can someone please solve this?
svetlana [45]

Answer:

1.C (I’m not sure). 2.C 3. 30 4.Yes 5.C

Step-by-step explanation:

your welcome 1. Is logic 2. You set them equal and get 5 3. It’s a 17 15 8 so 15*2=30 4. They are all true. 5. That squared is that

3 0
3 years ago
Read 2 more answers
What is the equation of the line shown in this graph? A function graph of a line with two points (-4,1) and (2,1) with an x axis
alisha [4.7K]

Answer:

  y = 1

Step-by-step explanation:

You should be able to tell by inspection that the line is horizontal at y = 1.

7 0
3 years ago
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