Answer:
2/(7a) < x < 7
Step-by-step explanation:
The product of roots of ax² +bx +c is c/a. In this case, that means the second root of the equation is ...
... 2/(7a)
Since a < 0, the parabola opens downward and 2/(7a) < 0. The quadratic function will be positive between the two roots, on the interval ...
... 2/(7a) < x < 7
Hi there!
First of all we need to remember the number 6.32.
It could be any of the following:
6.323 OR 6.324
We are rounding UPPP! If you were to round down it would be 6.32 or less.
Hope this helped!
You need to foil it out. That's how you get the answer.
(x+4)^20
=
(x+4) x (x+4)^19
=
(x+4)^2 x (x+4)^18
etc.
Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
Hi there!
The answer is B.
Since the middle length of the kite is 3 + 3 (which is 6), we find the area of both triangles and add them up.
6 × 10 ÷ 2 = 60 ÷ 2 = 30
6 × 20 ÷ 2 = 120 ÷ 2 = 60
30 + 60 = 90
The answer is B.
Hope this helps!