Explanation:
To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:
a² + b² = c² (c is always hypotenuse)
So:
a² + 6² = 9²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = sqrt45
Now we do the same thing for the other triangle:
x² + 5² = sqrt45²
x² + 25 = 45
x² = 20
x = 2√5 or 4.5...
Answer: D) -2 |x| - 2
<u>Step-by-step explanation:</u>
A v-shaped graph is an absolute value graph.
The general form of an absolute value equation is: y = a |x - h| + k
where (h, k) represents the vertex and "a" represents the vertical stretch (aka slope).
The vertex of the given graph is (0, 2), however the graph is inverted (upside-down) which is a reflection across the x-axis. Therefore,
<h2> --> y = -2 |x| - 2</h2>
Answer:
42 mph
Step-by-step explanation:
From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.
Motorcycle in 4 hours at a constant speed of 45 mph travelled

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

If x mph is truck's speed, then

Answer:27x^6 /16
Step-by-step explanation:27x^3 x x^7 divided by 16x^4
then simplify the expression which will be 27x^3 x x^3 divided by 16
then calculate the product which is x^3 x x^3 which is x^6 so your answer is 27x^6/16.
Answer: e. each component be identified by a coding scheme that specifies size, shape, and the type of processing.
Step-by-step explanation:
Group technology is a technique in manufacturing that involves bringing together parts with similar process of manufacturing or function into the same location so that they can all go through the same process. This follows a general saying that problems with similar groups could possibly be solved using a single or similar solution, which could help save time, resources and efforts.