MATHEMATICS HIGH SCHOOL

Solve the following system.
x^2 + y^2 = 25
2x + y = 10
The solution set

Answers

Answer 1
Answer: \begin{cases} x^(2)+y^(2)=25 \n 2x+y=10 \end{cases} \n \n \begin{cases} x^(2)+y^(2)=25 \n y=10 -2x\end{cases} \n \n \begin{cases} x^(2)+(10-2x)^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} x^(2)+100-40x+4x^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} 5x^(2)-40x+75=0 \ny=10-2x \end{cases}

\begin{cases} x^(2)-8x+15=0 \ny=10-2x \end{cases} \n \n \begin{cases} \Delta=(-8)^(2)-4*1*15=64-60=4; \ \ \ √(\Delta) =2 \ny=10-2x \end{cases} \n \n \begin{cases} x_(1)= (8-2)/(2) =3 \ \wedge \ x_(2)= (8+2)/(2)=5 \ny=10-2*3=4 \ \wedge \ y=10-2*5=0 \end{cases}

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(38x+61y)-(3x-11y) simplify this expression

Answers

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▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

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Which graph represents the linear function y=-2x+3

Answers

The coordinates will be (0, 3) and (1.5, 0), and mark these points on the paper and make a straight line.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear function is given below.

y = -2x + 3

Then the graph of the equation will be

Put x = 0, then the value of y will be

y = -2(0) + 3

y = 3

Put y = 0, then the value of x will be

2x = 3

 x = 1.5

Then the coordinates will be (0, 3) and (1.5, 0).

Mark these points on the paper and make a straight line.

The graph is given below.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ2
..............
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Why is it a good idea to check to see if your answer is reasonable?a. if your answer is reasonable, you have probably done the problem correctly
c. you just need to solve for the variable
b. if you understand the problem, you will not need to check your answer
d. to get the correct answer, you will need to draw a picture
Mark this and return

Answers

Answer:

Option: a is the correct answer.

a.  if your answer is reasonable, you have probably done the problem correctly.

Step-by-step explanation:

Checking for reasonableness is a process by which students evaluate estimations to see if they are reasonable guesses for a problem.

So, a good idea to check to see if your answer is reasonable is:

a.  if your answer is reasonable, you have probably done the problem correctly.

( Since a reasonable answer is just a estimation of the problem it can't be claimed to be true but it is just a probable estimation ).
It is a good idea to check to see if your answer is reasonable because a. if your answer is reasonable, you have probably done the problem correctly.

Determine whether each expression is equivalent to −9.8+(−4.3).Select Yes or No for each expression.
−9.8−4.3
Yes
No
−9.8+(−0.2)+(−4.1)
Yes
No
−9.8−0.2+4.1
Yes
No
−9.8+(−0.2−4.5)
Yes
No
−9.8+0.2−4.5
Yes
No

Answers

a=yes
b=yes
c=no
d=no
e=yes

Answer:

^^^^

Step-by-step explanation:

the perimeter of a triangle is 8x+3y. The length of two sides of the triangle are 4x+y and 2x-3y. Find the measure of the third side of the triangle.

Answers

Perimeter = Sum of three sides.

Let the third side be = t

Perimeter = 8x + 3y

8x + 3y = (4x + y) + (2x - 3y) + t

8x + 3y = 4x + y + 2x - 3y + t

8x + 3y = 4x +2x + y - 3y + t

8x + 3y = 6x - 2y + t

8x - 6x + 3y + 2y = t

2x + 5y = t.

Therefore third side = 2x + 5y 

Justify each step in solving the equation  by writing a reason for each statement.

Answers

Step-by-step explanation:

We are provided with an equation and are required to give reasons on how we got the final answer.

(1.) The equation is -3(2x-3) = 25-8x is given.

(2.) In this step, we have simplified the left hand side of the equation by opening the bracket i.e. -6x+9 = 25-8x

(3.) Here, the terms containing 'x' are brought to the left hand side of the equation and simplified i.e. 2x+9 = 25

(4.) Now, the constant terms of the equation are brought to the right side of the equation and simplified i.e. 2x = 16.

(5.) Lastly, the whole equation is divided by 2 in order to get the value of 'x' i.e. x = 8.
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