Answer:
x = (-1/4)(1 ± √33)
Step-by-step explanation:
Let's "complete the square."
This procedure requires taking half of the coefficient of x and squaring it:
Half of 1/2 is 1/4, and the square of 1/4 is 1/16.
Then we have:
x^2 + (1/2)x + 1/16 = 2 + 1/16 = 33/16
Rewriting x^2 + (1/2)x + 1/16 as the square of a binomial, we get:
(x + 1/4)^2 = 33/16
We must solve this for x.
Taking the sqrt of both sides, we get:
x + 1/4 = ±√33/4, or:
x = -1/4 ±√33/4, or
x = (-1/4)(1 ± √33)
Answer:
Sorry, I forgot what the a means
Step-by-step explanation:
is it multiplcation , division, subtraction, or addition?
The length of the rectangle equals 80 cm, and the width equals 32 cm.
Divide the length to the width, we get the ratio between them :
80 : 32
Now, we simplify by dividing them both by the same number, in this case it's 16
=> 80 : 32 = (80 : 16) : (32 : 16) = 5:2
So, the ratio between the length and the width is 5:2
Answer:
A
Step-by-step explanation:
It is A, because it tells you the equation of
-5x + 8 ≥ -7
Because the key on the right tells you that shaded squares are negative and white ones are positive.
You can then subtract both sides by 8 to isolate the -5x and the equation becomes:
-5x ≥ -7 - 8
Which simplifies to
-5x ≥ -15
which you can now divide both sides by -5 to get
x ≥ 3
BUT WAIT
the general rule is that when you divide a variable (in this case x) by a negative number, you have to flip the inequality sign
so ≥
should become ≤
so the equation is x ≤ 3
Option D. B
When a point is reflected across the x-axis, (x, y) becomes (-x, y)
Because A (2, 4) and B (-2, 4) are like (x, y) and (-x, y), we know that Option D is the answer.