Answer:
y= - 1/2 x-2 ( SEE IMAGE BELOW)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Answer:
Let's replace the h(x) function in g(x) and then use 74 as a result on the axis y. The correct answer is 4 .
The only expressions that are correctly factored are;
A) 16a⁵ - 20a³ = 4a³(4a² - 5)
B) 24a⁴ + 18 = 6(4a⁴ + 3)
C) 12a³ + 8a = 4a(3a² + 2)
D) 30a⁶ - 24a² = 3a²(10a⁴ - 8)
<h3>How to factorize equations?</h3>
1) 16a⁵ - 20a³
To factorize this, we will have to get out the common factor first. The common factor is 4a³. Thus, we now have;
4a³(4a² - 5)
2) 24a⁴ + 18
To factorize this, we will have to get out the common factor first. The common factor is 6. Thus, we now have;
6(4a⁴ + 3)
3) 12a³ + 8a
To factorize this, we will have to get out the common factor first. The common factor is 4a. Thus, we now have;
4a(3a² + 2)
4) 30a⁶ - 24a²
To factorize this, we will have to get out the common factor first. The common factor is 3a². Thus, we now have;
3a²(10a⁴ - 8)
Read more about factorization of equations at; brainly.com/question/723406
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Answer:
The shortest side of the triangle is 3 inches.
Step-by-step explanation:
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
<em>Let the one side be 
</em>
<em>And the second side be 
.</em>
<em>And the third side be 
.</em>
According to question:
⇒
Adding all the variables by taking common denominator we get:
⇒
<em>Multiplying both sides by 12 we get</em>:
⇒
<em>Dividing both sides by 9 we get</em>:
⇒
Thus, <em>the sides of the triangle are</em>:
<u>1/6×18=3 inches.</u>
<u>1/3×18=6 inches.</u>
<u>1/4×18=9/2=4.5 inches</u>.
Therefore, the shortest side of the triangle is 3 inches.
Answer:
(a): 26.1
(b): 27.9
Please see below for the steps.
Step-by-step explanation:
(a):
Use points (0,0) and (3, 78.3)
Use slope formula. The slope formula is also used to find average rate of change (just so you know).
y2-y1/x2-x1
78.3-0/3-0=78.3/3=26.1
Answer for (a) is 26.1
(b):
Use points (4, 147.6) and (9, 287.1)
Use slope formula.
y2-y1/x2-x1
287.1-147.6/9-4=139.5/5=27.9
The answer for (b) is 27.9
Hope this helps!
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