Answer:
2 +i
Step-by-step explanation:
-3+6i-(-5-3i)-8i
Distribute the minus sign
-3 +6i +5 +3i -8i
Combine like terms
-3+5 +6i +3i -8i
2 +i
48 sets i believe since there are only 48 maximum of blue, green and yellow crayons therefore the 49th set would only contain a red crayons and a picture
Answer:
New mean length of these 17 people=11.62
Step-by-step explanation:
<em>Step 1: Determine the total length of children's fingers</em>
L=l×n
where;
L=total length (cm)
l=mean length (cm)
n=number of children
replacing;
L=6.7×6=40.2 cm
The total children's fingers length=40.2 cm
<em>Step 2: Determine the total length of adults fingers</em>
total length of adults fingers=mean length of adults fingers×number of adults
where;
mean length of adults=14.3
number of adults=11
replacing;
total length of adults fingers=(14.3×11)=157.3 cm
<em>Step 3: Determine the new mean length</em>
new mean length=total length of adults and children fingers/number of adults and children
where;
total length of adults and children fingers=157.3+40.2=197.5 cm
number of adults and children=11+6=17
replacing;
new mean length=197.5/17=11.62
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50
The answer is <span>c. 16x2 + 24xy + 9y2.
Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.
So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x
b² = 9y²
b² = (3y)²
b = 3y
a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT
d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x
b² = 10y²
b² = (y√10)²
b = y√10
a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT
So, c) is correct answer
