Answer:
d) 63 square units
Step-by-step explanation:
x = 3 units (base - b)
y = 6 units (width - w)
h = 7 units (length and height - l and h)
- Area of a rectangle: l*w
- Area of a triangle: 1/2*b*h
For the triangles:
Area of a triangle: 1/2*b*h
A = 1/2 * 3 * 7
A = 1/2 * 21
A = 10.5
*Since there are two triangles, it would be 10.5 * 2 = 21
For the rectangle:
Area of a rectangle: l*w
A = 7 * 6
A = 42
Now, we add them together:
A = 42 + 21
A = 63 square units
Therefore, the area of the parallelogram is 63 square units
Hope this helps!
Answer:
x ∈ {-4, 2}
Step-by-step explanation:
The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.
Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:
f(x) = x^2 +2x -8
f(x) = (x -2)(x +4)
The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.
The roots of f(x) are -4 and 2.
_____
Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.
x^2 +2x -8 = 0
x^2 +2x = 8 . . . . . add the opposite of the constant
x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1
(x +1)² = 9 . . . . . . . . . . . write as squares
x +1 = ±√9 = ±3 . . . . . . take the square root
x = -1 ± 3 . . . . . . . . . . . subtract 1
The roots are x=-4, x=2.
Answer:
The answer is 8 days.
Step-by-step explanation:
By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table
Day - Todd - Seth
1 - 95 - 130
2 - 90 - 120
3 - 85 - 110
4 - 80 - 100
5 - 75 - 90
6 - 70 - 80
7 - 65 - 70
8 - 60 - 60
Answer:
Step-by-step explanation:
Here first open the inner parentheses and use the distributive property,
The length of a median is equal to half the square root of the difference of twice the sum of the squares of the two sides of the triangle that include the vertex the mediam is drawn from and the square of the side of the triangle the median is drawn to.
triangle sides by a, b, c.
ma=122c2+2b2−a2
mb=122c2+2a2−b2
mc=122a2+2b2−c2
