Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = bh ( b is the base and h the perpendicular height )
b = AC = 3 + = 4
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2 )² - (3 )²
= 20 - 18 = 2 ( take square root of both sides )
BD =
Then
A = × 4 × = 2 × × = 4 cm²
If there are 20 flowers, then she had to of picked 4 tulips and 4x4 = 16 so there are 16 daisies. So 16-4= 12. She picked 12 more daisies than tulips.
4 hundreds, 2 tens, 1 ones
(x-5)(x-5)
Because in the original equation you do (x-5) twice which would be the simplified version of (x-5)(x-5)
Answer: 5x + 15
<u>Step-by-step explanation:</u>
Divide (x² + 5) into (x³ + 4x² + 5) to see what is needed to make a remainder of zero.
Let k represent the unknown number.
<u> x + 4 </u>
x² + 5 ) x³ + 4x² + 0x + 5+k
- <u>(x³ + 5x)</u>
4x² - 5x + 5+k
- <u>(4x² + 20)</u>
In order to have a remainder of zero, 4x² -5x + 5 + k must equal 4x² + 20
Solve for k:
4x² -5x + 5 + k = 4x² + 20
-5x + 5 + k = 20 <em>subtracted 4x² from both sides</em>
5 + k = 5x + 20 <em>added 5x to both sides</em>
k = 5x + 15 <em>subtracted 5 from both sides</em>