What is the length y? Round to the nearest tenth.
Answers
Answer:
- y = 5.3
Step-by-step explanation:
It is assumed XYZ is a right triangle.
- y/10 = sin 32°
- y = 10 sin 32°
- y = 5.3
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Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?a.3x+5x=4 b.3x+4=5x c.3x=4+5x d.3x-4=5x
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Prove that given any 17 integers, there exist nine of them whose sum is divisible by 9.(it might help to use the fact that given any five integer you can find three whose sum is divisible by 3)
Answers
55º
vertical angles are congruent
2x − y = 10
one thirdx + 2
negative one thirdx + 6
−x + 2
negative one thirdx + 2
Question 2. What is the value of y in the solution to the following system of equations?
5x − 3y = −3
2x − 6y = −6
−1
0
1
2
Question 3. Solve 7x − 2y = −3
14x + y = 14
(4, five sevenths)
(4, seven fifths)
(five sevenths, 4)
(seven fifths, 4)
Question 4. Solve x + 3y = 9
3x − 3y = −13
(−1, ten thirds)
(1, negative ten thirds)
(−1, 3 over 10)
(1, negative 3 over 10)
Question 5. Use the substitution method to solve the following system of equations:
4x − y = 3
7x − 9y = −2
(1, 1)
(6, −3)
(6, 1)
(1, −3)
Question 6. Solve 5x − 6y = −38
3x + 4y = 0
(4, 3)
(−4, 3)
(4, −3)
(−4, −3)
Question 7. Solve 2x + 5y = −13
3x − 4y = −8
(4, 1)
(−4, 1)
(4, −1)
(−4, −1)
Answers
Answer for Question (1):
The system of equations: x+3y=6
2x-y=10
Solve the first equation x+3y=6 for y:
Subtracting x on both sides,
x+3y-x=6-x
3y=6-x
Now dividing 3 on both sides, we get
y=2-x/3 = negative one third x + 2
Thus y= negative one third of x +2
Answer for question (2):
The system of equation :
5x-3y=-3 --> (1)
2x-6y=-6 -->(2)
Multiply equation (1) by 2, we get 10x-6y=6.
Subtracting (1) by (2), we get 8x=0 implies x=0.
Plug in x=0 in equation (1), 0-3y=-3
Dividing -3 on both sides,
y=-3/-3=1
So the solution of y is 1.
Answer for Question (3):
System of equation:
7x-2y=-3 (1)
14x+y=14 (2)
Multiply (2) by 2,
28x+2y=28 (3)
Adding (1) and (3), we get 35x=25
Now dividing 35 on both sides, x=25/35=5/7.
Plug in x=5/7 in equation (1), we get 5-2y=-3
-2y=-3-5
-2y=-8
Dividing -2 on both sides,
y=4
Thus the solution of this system of equation as (5/7,4).
Answer for question (4):
x + 3y = 9 ---> (1)
3x − 3y = −13 ---> (2)
Adding equation (1) and (2), we get
4x=-4
Dividing 4 on both sides,
x=-1
Plug in x=-1 in equation (1), we get
-1+3y=9
Adding 1 on both sides,
3y=9+1=10
Now dividing 3 on both sides,
y=10/3.
so the solution is (-1,10/3).
Answer for question (5):
System of equation is 4x − y = 3 (1)
7x − 9y = −2 (2)
consider the first equation 4x-y=3
Adding y on both sides, 4x=3+y
subtracting 3 on both sides, we get y=4x-3
Substitute y=4x-3 in equation (2),
7x-9(4x-3)=-2
7x-36x+27=-2
Combine the like terms,
-29x+27=2
Adding 27 on both sides,
-29x=-29
dividing -29 on both sides,
x=1
Plug in x=1 in y=4x-3,
y=4(1)-3=1
Then the solution is (1,1).
Answer:
What is the solution to the system of equations?
6 x + 2 y = 6. 7 x + 3 y = 5.
(Negative 3, 2)
(Negative 1, 6)
(2, Negative 3)
(6, Negative 1)
Step-by-step explanation:
What is the solution to the system of equations?
6 x + 2 y = 6. 7 x + 3 y = 5.
(Negative 3, 2)
(Negative 1, 6)
(2, Negative 3)
(6, Negative 1)
Answers
Answers
Answer:
1.1???????
Step-by-step explanation:
Answer:Its most likely to be D
Step-by-step explanation:
Answers
16y^2(y^2 + y + 3)
The base area could be 16y^2 and the height could be y^ + y + 3.
Answers
Answer:
120:60:240
Step-by-step explanation:
2+1+4=7
420/7=60
2*60:1*60:4*60
=120:60:240
Check my work:
120+60+240=420