Answer:
5 -2√10 = C
Step-by-step explanation:
√25 -√40
√25 = √5 x5 = √5² = 5
√40 = √5 x 8 = √5x 2x4 = √10x4 = √10x 2² = 2√10 (when the 2 comes back into the square root it become 2²)
√25 -√40 = 5 -2√10
Answer:
6cm ; 22cm
Step-by-step explanation:
Given that:
Total Length, AD = 28cm
AB =x cm
BC = (x +5)cm
CD = 2x - 1 cm
4x + 4 = 28
4x = 28 - 4
4x = 24
x = 24 / 4
x = 6cm
The length of BD
BD = BC + CD
BD = (x + 5) + (2x - 1)
x = 6
BD = (6 + 5) + (2(6) - 1)
BD = 11 + (12 - 1)
BD = 11 + 11
BD = 22 cm
Answer:
The slant height is 9 meters.
Step-by-step explanation:
To determine the slant height, we will follow the steps below;
First, write down the formula:
Surface area = 2bs + b²
where b= the length of the base of the square pyramid
s = the slant height of the square pyramid
From the question given,
surface area of a square pyramid = 360 square meters
base length = 12 meters
We can now proceed to insert the values into the formula and then solve for s
Surface area = 2bs + b²
360 = 2(12)s + (12)²
360 = 24s + 144
subtract 144 from both-side of the equation
360 - 144 = 24s
216 = 24s
Divide both-side of the equation by 24
216/24 = 24s/24
9 = s
s = 9 meters
The slant height is 9 meters.
(2,1) and (3,6)
Slope = (6-1)/(3-2) = 5
y = mx + c
y = 5x + c
at point (2,1)
1 = 5(2) + c
1 = 10 + c
c = -9
y = 5x - 9
