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tamaranim1 [39]
3 years ago
8

Solve the system by substitution6x+2y=26 x=6y+21

Mathematics
1 answer:
Savatey [412]3 years ago
8 0
Substitute x = 6y + 21 into the first equation:-
6(6y+21) + 2y = 26 
36y + 126 + 2y = 26
38y =  -100
y = -2.63
x =   6(-2.63) + 21 = 5.22

answer (-2.63, 5.22)   to nearest hundredth 
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The perimeter of a triangle is 34cm. What are the lengths of the sides if the first side is twice the length of the second side
dybincka [34]

Answer:

8sm, 16sm, 10sm

Step-by-step explanation:

the first side of the triangle: x

the other side of the triangle: 2x

the third side of the triangle: x+2

the perimeter of the triangle: x+2x+x+2=34

4x=32

x=8

2*8=16

8+2=10

4 0
2 years ago
Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

AC = \sqrt{(2-4)^2+(1-1)^2} =2

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
4 years ago
Read 2 more answers
What is the next term in the number pattern? 21, 31, 36, 46, 51, … Enter your answer in the box.
Leni [432]

Answer:

61

Step-by-step explanation:

first it goes up by 10 then 5 now 10

7 0
3 years ago
Read 2 more answers
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
4 years ago
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two n
marta [7]

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

6 0
3 years ago
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