The formula for finding the area of a triangle is base x height ÷ 2. With that in mind…
18 x 10 = 180 in
180 ÷ 2 = 90 in
Answer:
(x - [-1])² + (y - [-1])² = [13]
Step-by-step explanation:
If P and Q are the end-points of the diameter PQ, midpoint of the segment PQ will be the center of the circle. (Definition of the center of a circle)
Midpoint of a segment having extreme ends and
Coordinates of the center =
Since, extreme ends of the diameter are P(-4, -3) and Q(2, 1)
Center of the circle =
= (-1, -1)
Radius of the circle = Distance between the center and Q,
Since distance between the two points and is,
d =
Radius of the circle =
=
=
Equation of the circle will be,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and 'r' is the radius of the circle,
(x - [-1])² + (y - [-1])² = [13]
Answer:
9.25≤x≤64.15
Step-by-step explanation:
The smallest amount would be 5 of the least priced item
5 * 1.85 =9.25
The largest amount would be 5 of the greatest priced item
5 * 12.83 =64.15
9.25≤x≤64.15
Answer:
4x²(2x - 7)
Step-by-step explanation:
8x³ - 28x² ← factor out 4x² from each term
= 4x²(2x - 7)
Answer:
25
Step-by-step explanation:
let his age be x, then
5 years ago his age was x - 5 and in 5 years will be x + 5 , thus
(x - 5)(x + 5) = 600 ← expand factors using FOIL
x² - 25 = 600 ( add 25 to both sides )
x² = 625 ( take the square root of both sides )
x = = 25