Answer:
(x+10)(x-10)
Step-by-step explanation:
Answer:
1, 2, 3, 4
Step-by-step explanation:
- 4 1/3·1 = 4 1/3 Good
- 7 1/3·2 2/5 = 22/3·12/5 = 110/15·36/15= 3960/225 = 17 3/5 Good
- 6 2/3·1/2 = (6 2/3)/2 = 3 1/3 Good
- 4 1/2·2 1/6 = 9/2·13/6 = 27/6·13/6 = 9 3/4 Good
- 5·3 1/4 = 20/4·13/4 = 16 1/4 Doesn't Work
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
Answer:
y = (-1/6)x
Step-by-step explanation:
As we move from (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.
Hence, the slope of this line is m = rise / run = -1/6.
Starting with the slope-intercept form of the equation of a straight line, we have:
y = mx + b. We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:
0.5 = (-1/6)(-3) - b, or:
0.5 = 0.5 - b. Then b = 0, and the desired equation is
y = (-1/6)x