Answer:
Choice A:
. for all real numbers.
Step-by-step explanation:
We are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation, which are points
.
Looking at the other choices we see that choice B gives only 3 points, and regardless of whether they lie on the graph of y or not, this choice cannot be correct because 3 points are not all solutions.
The same goes for choice D.
And choice C is just the whole of x-y plane, therefore this cannot be the answer because not every point on the x-y plane is a solution to y = 5/2x + 3/2
Answer:
100 and 80
Step-by-step explanation:
Let x = be the first angle
x-20 is the second angle
They are supplementary so they add to 180
x+x-20 = 180
Combine like terms
2x-20 =180
2x-20+20 =180+20
2x= 200
Divide by 2
2x/2 = 200/2
x= 100
The first angle is 100 and the second is x-20
x-20 = 100-20=80
The two angles are 100 and 80
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA =
pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA =
(24)(5) + 36
SA = 60 + 36 = 96 ft²
Answer:
not sure if it's ryt but I think it's A