<span>A) y=x−7
B) </span><span><span>5</span>x+2y=7
A) x = y + 7
Substituting this into B)
</span>
<span>y + 7 +2y = 7
</span>
3y = 0
y = 0
x = 7
Answer is C (7,0)
Commutative property is one of the basic properties of numbers. Numbers can be added or multiplied in any order because changing the order of the number doesn't change the sum or the product.
Answer:
61.93 will be measure of angle p
Step-by-step explanation:
as cos(p) = (8/17)
p = 61.93
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
