Two lines, A and B, are represented by the following equations:Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (1, 2).
There are infinitely many solutions.
It is (1, 5).
There is no solution.

Answers

Answer 1

Answer: If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

4x + 4y = 16
x + y = 4 /*(-4)
___________________
4x + 4y = 16
-4x - 4y = - 16
___________________
0 = 0

The correct result would be: There are infinitely many solutions.

Related Questions

The Federal Reserve Bank is responsible for minting new coins. True or false
Q: At noon the armadillo left the wild kingdom and headed north at 3 kilometers per hour . two hours later the raccoon left the same kingdom and headed south at 5 kilometers per hour . at what time will the animalse be 38 kilometera apart ?
Jan Quint earns $11.00 an hour at her job and is entitled to time-and-a-half for overtime, and double time on holidays. Last week she worked 40 hours of regular time, 9 hours of overtime, and 12 hours of holiday time. How much did she earn last week?A. $720.50 B. $612.00 C. $852.50 D. $803.00 Please explain the answer..
At the beginning of the week the balance in your checkbook was $298.72. During the week you made a deposit of $425.69. You also wrote checks for $29.72, $135.47, and $208.28. At the end of the week you received a letter from the bank indicating that they had deducted a $5.00 service charge from your account. How much is in your account at the end of the week?
Find the value of xx = Classify the triangle : acute isosceles triangle acute isosceles triangle acute scalene triangle acute scalene triangle obtuse isosceles triangle obtuse isosceles triangle obtuse scalene triangle obtuse scalene triangle right isosceles triangle right isosceles triangle right scalene triangle right scalene triangle equiangular equilateral triangle

8 people meet, and each person shakes every other person's hand once. how many handshakes occurred?

Answers

8x8 = 64

So if every single person handshakes everyone's hand once it would be a total of

64 times

There was 28 handshakes

find exact value using reference angles

cot -53pi/6

Answers

Answer:

cot(-53π/6) = cot(7π/6) = √(3)

Step-by-step explanation:

Remember that a trig function repeats itself every 2π, so you can add any multiple of 2π to your angle and it'll give you the same answer.

cot(-53π/6) = cot(-53π/6 + 2πk)

= cot(-53π/6 + 2π·5)

= cot(-53π/6 + 10π)

= cot(7π/6)

= [-√(3)/2] / [-1/2]

= √(3)

It's the same as cot (-150 or -5pi/6) and that's a reference angle of 30 so cot 30 or pi/6 is sqrt (3) and since it's in the 3rd quadrant, it's positive.

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Answers

Answer:

The required expression is $4x^2-25$

Step-by-step explanation:

The difference of squares formula is given by

$(a+b)(a-b)=a^2-b^2$

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

$(2x+5)(2x-5)$

Using the difference of squares formula

$(2x+5)(2x-5)\n\n=(2x)^2-5^2\n\n4x^2-25$

Therefore, the required expression is $4x^2-25$

I hope this helps you

What can multiply to 1500 and add up to 20

Answers

0.01333333333333333333333333333333

because 0.01333333333333333333333333333333*1500=20

The area of a rug is 36 one fourth square feet. The rug is 8 three fourths feet long. What is the length of the rug

Answers

Given:

Area = 36 1/4 = 36.25 ft^2
Length = 8 3/4 = 8.75 ft

Unless this is a trick question, where the length can be found in the given values of the problem (where the answer would simply be L = 8.75ft), let us solve for the missing measurement, which is the width. A rug is rectangular, so to obtain the width, the area must be divided by the length. This is shown below:

Width = Area / Length
Width = 36.25 / 8.75
Width = 4.14 ft.

Write in exponential form.

3 a • 3 a • 3 a