Factor out the gcf first.
3(4y^2-9)
The binomial inside is a perfect square so keep factoring.
3(2y+3)(2y-3)
The pair of binomials cannot be further factored so stop there.
Answer:
18 and 9
Step-by-step explanation:
The numbers are x and 1/2x.
x + 1/2x = 27
3/2x = 27
x = 18 so the numbers of 18 and 9.
7.95 ÷ 1.06 = $7.50
This works as by dividing 7.95 by the percentage multiplier 1.06 it will give you the original amount.
An alternative method is to find out what 100% (7.95) is, then divide by 10 to find 10% and then divide by 10 again to find 1% and then multiply the 1% by 6 and subtracting the answer from 7.95.
Answer:
Equilateral Triangle
Side a = 1
Side b = 1
Side c = 1
Angle ∠A = 60° = 1.0472 rad = π/3
Angle ∠B = 60° = 1.0472 rad = π/3
Angle ∠C = 60° = 1.0472 rad = π/3
C=60°B=60°A=60°b=1a=1c=1
Area = 0.43301
Perimeter p = 3
Semiperimeter s = 1.5
Height ha = 0.86603
Height hb = 0.86603
Height hc = 0.86603
Median ma = 0.86603
Median mb = 0.86603
Median mc = 0.86603
Inradius r = 0.28868
Circumradius R = 0.57735
Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]
Centroid: [0.5, 0.28868]
Inscribed Circle Center: [0.5, 0.28868]
Circumscribed Circle Center: [0.5, 0.28868]
Step-by-step explanation:
First we put the equation in y = mx + b form where m is ur slope and b is ur y int.
2x - 5y = 10
-5y = -2x + 10
y = 2/5x - 2.......so ur slope is 2/5 and ur y int is (0,-2) <==
to find ur x int, sub in 0 for y and solve for x
2x - 5y = 10
2x - 5(0) = 10
2x = 10
x = 10/2
x = 5......and ur x int is (5,0) <==
another way to find the y int is to sub in 0 for x and solve for y...but u might as well solve it by putting it in y = mx + b form because that way u have ur slope as well.