Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
Answer:
14 inches.....................
Answer:
y=0.3x
Step-by-step explanation:
Formula = 
y α x
y = kx
Where k is the constant of proportionality.
When y = 1.5; x = 5;
We substitute these known values in the equation,
y = kx
1.5 = k5
Dividing both sides of the equation by 5 to find the value for k, we have
1.5/5= k0.3/5
Therefore,
K = 0.3
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 0.3x.
The direct variation function is therefore,
y = 0.3x.
[RevyBreeze]
Answer:
15 feet
Step-by-step explanation:
The question talks about;
- A rectangular flower bed whose dimensions are 12 ft by 9 ft
We are required to determine the length of the diagonal
To answer the question, we need to know the following;
- All the angles in a rectangle are right angles
- A diagonal divides a rectangle into two right-angled triangles
- The dimensions of the rectangle acts as the legs of right angled triangle.
Therefore;
Using Pythagoras theorem;
a² + b² = c²
Where, c is the hypotenuse (in this case the diagonal)
a and b are the shorter sides of the right-angled triangle
Therefore;
c² = 12² + 9²
c² = 144 + 81
= 225
c = √225
= 15
Therefore, the length of the diagonal is 15 feet
Answer:
6a+150+18c
Step-by-step explanation:
6(a+25+3c)
6a +6 x 25 +6 x 3c
6a + 150+6 x 3c
6a +150 +18c
