Answer:
x = 2±sqrt(11)
Step-by-step explanation:
x^2 -4x - 7 =0
Add 7 to each side
x^2 -4x -7+7 =0+7
x^2 -4x =7
To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides
-4 /2 = -2 then square
(-2)^2 = 4
Add 4 to both sides
x^2 -4x+4 =7+4
x^2 -4x+4 = 11
Factor the left side into (x-b/2)^2
(x-2)^2 =11
Take the square root of each side
sqrt((x-2)^2) =±sqrt(11)
x-2 = ±sqrt(11)
Add to to each side
x-2+2 = 2±sqrt(11)
x = 2±sqrt(11)
Answer:
549
Step-by-step explanation:
The next larger whole number, 550, will round up to 600.
The largest whole number that rounds to 500 is 549 when rounding to hundreds.
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Answer:
Okay so if find the slope wouldn't it be x + 5 = 4
Step-by-step explanation:
I'm so sorry if its not correct please let me know so I can fix my mistake
Answer:
The total length of fencing needed to enclose the kennel 74 feet.
Step-by-step explanation:
Given:
The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.
As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

To find:
Total length of fencing needed is to enclose the kennel. i.e
Perimeter of a rectangular kennel = ?
Solution:
we have the formula for perimeter of a rectangle as giving below.

Therefore,the total length of fencing needed to enclose the kennel 74 feet.