Answer:
-8p^4+12p^3+4p^4-8p^2+3p^2
=-8p^4+4p^4+12p^3-8p^2+3p^2
=-4p^4+12p^3-5p^2
=p^2(-4p^2+12p-5)
note: If you have to solve for X
there are steps according to formula
Answer:
Area of triangle is 25.
Step-by-step explanation:
We have been given an isosceles right triangle
Isosceles triangle is the triangle having two sides equal.
Figure is shown in attachment
By Pythagoras theorem
AD is altitude which divides the triangle into two parts
DC=5 implies BC =10 since D equally divides BC
Let AC=a implies AB=a being Isosceles
On substituting the values in the Pythagoras theorem:
WE can find area of right triangle by considering height AB and AD
Area of triangle ABC is:
(1)
And other method of area of triangle is:
(2)
Equating (1) and (2) we get:
Using area of triangle is:
Now, the area of triangle ABC=
$142.60 for all three employees
Answer:
Regular price: $429
35% discount: 278.85
5% tax: $13.94
Final cost: 292.79
Step-by-step explanation:
regular price=$429
0.35(429)=150.15
429-150.15=278.85
35% discount amount: $278.85
278.85(0.05)=13.94
278.85+13.94=292.79
<span>Each smaller donation was for $20
The largest donation was $15 greater than the smaller donation.
First, determine the size of each donation. Since they are in a ratio of 4:4:7, it's easiest to add the ratios together (4+4+7) = 15. Then divide the total donation by that sum (75/15) = 5. Finally, multiply 5 by each of the ratios.
5 * 4 = 20, 5 * 4 = 20, and 5 * 7 = 35
So the 2 smaller donations were $20 each, and the largest donation was for $35.
The largest donation was $35 - $20 = $15 larger than one of the smaller donations.</span>
