Answer:
x = 3 or -7
Step-by-step explanation:
Recall that for a quadratic equation in the form:
Ax² + Bx = C
we need to add (B/2)² to both sides of the equation to
In our case, we are given:
x² + 4x = 21
compared to the general equation above, B = 4, hence we need to add (4/2)² to both sides
x² + 4x = 21 (complete the square)
x² + 4x + (4/2)² = 21 + (4/2)²
x² + 4x + 2² = 21 + 2²
(x+ 2)² = 21 + 4
(x+ 2)² = 25 (take square root of both sides)
(x+2) = ±√25
(x+2) = ±5
hence
(x+2) = +5----> x = 5 - 2 = 3 (answer)
or
(x+2) = -5 ----> x = -5 - 2 = -7(answer)
Answer: it's either a or b i'm not too sure but i hope it helps
Step-by-step explanation:
Answer:
30/45 or 2/3
Step-by-step explanation:
If you factor out a 10 from the numerator and a 9 from the denominator, you should get the following:
Numerator = 10 (a + b)
Denominator = 9 (x - y)
Since we know that (a + b) = 3 and (x - y) = 5, we can rewrite it as:
Numerator = 10(3)
Denominator = 9(5)
Therefore, the answer is 30/45, or 2/3.
Hope this helps!
I believe Jodi's picture would look like this:
The problem says:
Solve the pair of equations by graphing.
Here's how:
In each pair:
-- Solve the first equation for 'y'.
(Put it in the form of y=m₁x+b₁ .)
-- Graph the straight line with slope=m₁ and y-intercept=b₁ .
-- Solve the second equation for 'y'.
(Put it in the form of y=m₂x+b₂ .)
-- Graph the straight line with slope=m₂ and y-intercept=b₂ .
-- The solution to the pair of equations is the point
where the two lines cross.