Hey there!
Let's keep our goal in mind. We're looking fo a sum, which means a number plus a number, or the answer to that problem.
In order to simplify this, we need to use the distributive property which can be defined as:
a(b+c) = ab+ac
Now, we can use this forumula to express:
6(3+9) = 6(3) = 6(9) = 18 + 54 = 72
Hope this helps!
Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
= 
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
Answer:
x = 2
Step-by-step explanation:
Distribute the 1/2 on the left side to each term
1/2 * 10x + 1/2 * 4 = 12
Now multiplication first before addition on the left side.
5x + 2 = 12
Subtract 2 on both sides
5x = 10
Divide by 5 on both sides
x = 2
Check work
1/2(10(2) + 4) = 12
1/2(20 + 4) = 12
1/2 * 24 = 12
24/2 = 12 = 12
Remember
√(mn)=(√m)(√n)
and
√-1=i
√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i
Answer:
1 34
2 45
3 23
Step-by-step explanation:
