Step-by-step explanation:
1) 7x - 5x + 15 - x
2) 2x + 15 -x
3) x + 15
Answer:
The answer to your question is (-4, 9) and (3, 2)
Step-by-step explanation:
Data
Equation 1 y = x² - 7
Equation 2 y = -x + 5
Process
1.- Substitute Equation 2 in equation 1
-x + 5 = x² - 7
2.- Equal to zero
x² + x - 7 - 5 = 0
x² + x - 12 = 0
3.- Factor to find x
(x + 4)(x - 3) = 0
x₁ + 4 = 0 x₂ - 3 = 0
x₁ = -4 x₂ = 3
4.- Substitute x₁ and x₂ to find y
y = -x + 5 x₁ = -4
y = -(-4) + 5
y = 4 + 5
y = 9 Solution (-4, 9)
y = -x + 5 x₂ = 3
y = -3 + 5
y = 2 Solution (3, 2)
Let width be x
Length: 2x-3
44=(x)(2x-3)
44=2x²-3x
0=2x²-3x-44
0=(2x-11)(x+4)
x=+11/2 or x=-4
Since dimensions cannot be negative, we have to use 11/2 or 5.5
The Width is 5.5ft , length is (2(5.5)-3)=8 ft
Hope I helped :)
Answer:
It's a 50% chance
Step-by-step explanation:
A coin has to sides both sides of a equal chance (50%) of getting landed on.
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
