Answer:
5x-6y-12=0
Step-by-step explanation:
...make y the subject y=-6/5x +2
...use the coefficient of x as the gradient,m=-6/5
...for a perpendicular line,find the negative reciprocal of the gradient,5/6
...sub into the eqn y= -1/m(x-a)+b
if Joyce saved $70
at 75% off, Joyce saved 25%
so, $70 is 25%
To find the total price which is 100%, multiply $70 by 4 ( because 25% x 4 = 100% )
so the original price is $70 x 4 = $280
What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then
y + 1 = 0
y = -1
so x - y = 6
x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".
Answer:
$22.50 I believe...
Step-by-step explanation:
157.50 divided by 7
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First,search through all your mathematical vocabulary words. Next rewrite the pattern using words.
