Answer:
They are a Pythagorean triple that forms a right triangle
Step-by-step explanation:
a2 + b2 = c2
(5)^2 + (12)^2 = (13)^2
25 + 144 = 169
(13)^2 = 169
Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
Answer:
B. 2 blocks per cubic inch
Step-by-step explanation:
The volume in cubic inches is the product of the dimensions in inches. The ratio of blocks per cubic inch is found by dividing the number blocks by the number of cubic inches. (Effectively, "per" means "divided by".)
(240 blocks)/((6 in)(4 in)(5 in)) = 240/120 blocks/in³ = 2 blocks/in³
You know from the definitions of trig functions that
.. tan(42°) = (height of courthouse above measuring device)/(distance to courthouse)
.. (height of courthouse above measuring device) = tan(42°)*(305 ft) ≈ 274.6 ft
Since the measuring device is 5 ft high, the height of the courthouse is approximately 280 ft. (selection C)
Answer:
(-4,6)
Step-by-step explanation:
When rotating 90 degrees counter clockwise you go from (x,y) to (-y,x)
First start by adding 2 to 4
then add 3 to 1
(6, 4)
then use the formula (-y,x) to change (6,4)
(-4,6)
