We have been given a parent function and we need to transform this function into .
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to .
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes .
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
56 units are in the sum of the lengths of the three altitudes in a triangle with sides $7,$ $24,$ and $25$
Properties of triangles are:
A triangle has three sides and three angles.
The sum of the angles of a triangle is always 180 degrees.
The exterior angles of a triangle always add up to 360 degrees.
The sum of consecutive interior and exterior angle is supplementary.
<h3 /><h3>How to solve?</h3>
Given:
Height: ha = 7
Height: hb = 24
Height: hc = 25
Sum to sides is:
25 +7 + 24 =56 units.
Learn more about Triangles:
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Answer:
tahts the prime factors
Step-by-step explanation:
2 and three
Answer:
Crayola Classic: 5 Packs; Crayola Tropical: 4 Packs
Step-by-step explanation:
Keep multiplying by both until you get a number equal to eachother
1. 8 x 2 = 16, 10 x 2 = 20
2. 8 x 3 = 24, 10 x 3 = 30
You may notice that the numbers are getting farther apart. This is normal because the boxes are not equal and are getting multiplied further. That means that your answer will have different factors in both the equations.
3. 8 x 4 = 32, 10 x 4 = 40
4. 8 x 5 = 40
Both of those equations (in bold) have the same answer and he wanted the same crayons from both. So, the answer is:
10 x 4 = 40
8 x 5 = 40
(how much packs of each you need to get the same amount)
Hope this helps :)
-jp524
Answer:
16
Step-by-step explanation:
subtract 8 from 40 then divide that by 2