9/10 - 2/5 + 1/3
= 5/6 (Decimal: 0.8333333)
Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10
= 9 - 4/10
= 5/10
= 1/2
The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10
Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2
= 3/6 + 2/6
= 3 + 2/6
= 5/6
The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6
Answer in Lowest term is: 5/6 or Decimal: 0.8333333
Hope that helps!!!
Answer:
Area of trapezoid is
.
Therefore, option 2nd is correct.
Step-by-step explanation:
We have been given both the sides a=3 and b=5.
And height that is h=4
We will use the formula find the area of trapezoid is:

Substitute the formula we get:


.
Area of trapezoid is
.
Therefore, option 2nd is correct.
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
Answer:

Step-by-step explanation:
Let 
So 

Let 
We are going to find 
So we are evaluating 
First step find f(-2)
Second step find f'(-2)
Third step plug in those values and apply PEMDAS!


So
