The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
<h3>What is distributive property?</h3>
The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.
c×(a+b)=ac+ab
The given expression in the problem is,
(-2+2w+4w)(-7)
Now, use the distributive property to remove the parentheses as,
(-2+2w+4w)(-7)
-2×-7+2w×-7+4w×-7
-14-14w-28w
-14-42w
Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
Learn more about the distributive property here;
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Answer:
Step-by-step explanation:
Erika: y = 35x + 100
Ly: y = 60x + 25
60x + 25 = 35x + 100
25x + 25 = 100
25x = 75
x= 3 weeks
Erika: y = $35(3) + 100= 105 + 100 = $205
Ly: 60(3) + 25 = 180 + 25 = $205
Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Given that,
In <u>triangle TPQ, </u>
As it is given that, <u>RS || PQ</u>
So, it means
⇛∠TRS = ∠TPQ [ Corresponding angles ]
⇛ ∠TSR = ∠TPQ [ Corresponding angles ]
<u>Now, We know </u>
Area Ratio Theorem,
This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.
