Answer:
1/4
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
y = mx + c
m = y - y¹ / x - x¹
= 4-3 / 4-2
= 1/2
using (4,4)
4 = 1/2 × 4 + c
4 = 2 + c
c = 2
equ..=
y = 1/2x + c
Answer:
B) x = 2, y = 1
Step-by-step explanation:
Add the two equations to eliminate the x-variable.
(x +3y) +(-x +6y) = (5) +(4)
9y = 9 . . . . . . .simplify
y = 1 . . . . . . . . divide by 9
You can substitute this value into either equation to find x.
x + 3(1) = 5
x = 2 . . . . . . . . subtract 3
The solution is (x, y) = (2, 1).
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
Answer:
a. 25
Step-by-step explanation:
Note that the specifically state that they are vertical angles. This means that the two measurements should equal each other. Set the two expressions equal to each other, and isolate the x. Note the equal sign, what you do to one side, you do to the other:
3x = x + 50
Subtract x from both sides to isolate the x:
3x (-x) = x (-x) + 50
3x - x = 50
2x = 50
Isolate the x, divide 2 from both sides:
(2x)/2 = (50)/2
x = 50/2
x = 25
x = 25, or (a) 25 is your answer.
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