Answer:
You need to use Pythagorean Theorem to find the hypotenuses of the smaller triangles. a^2+b^2=c^2
Step-by-step explanation:
-2x+2y=6
7x-8y=-27
5x-6y=-21
-x+y=3
6x-7y=-24
6x-7y=-4(-2x+2y)
6x-7y=8x-8y
-6x from both sides:
-7y=2x-8y
add 8y to both sides:
y=2x
-2x+2y=6
2y-6=2x
2y-6=-12
-6-6=-12
y=-3
x=-6
Hope this helps :)
Answer:
2.2 × 10³ mm³
Step-by-step explanation:
We have a triangular prism with the following dimensions:
Altitude: 20.5 millimeters
Base: 16 millimeters
Height: 13.3 millimeters
We can calculate the volume of a triangular prism using the following expression.
V = (1/2 × Altitude × Base) × Height
where,
(1/2 × Altitude × Base) is the area of the base
V = (1/2 × Altitude × Base) × Height
V = (1/2 × 20.5 mm × 16 mm) × 13.3 mm = 2.2 × 10³ mm³
The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
D. There are 200 crayons in the box. If you just made it 25% of 200 is 50 which is the closest number to answer based on a quick estimation:)
