Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Answer:
.25
1/4
are the numbers equivalent to 25%
Answer:
1. measure of angle E is 90 degrees
2. Measure of angle F + measure of angle G is 90 degrees
Step-by-step explanation:
Angle E is 90 degrees because it is marked as a right angle (the square)
A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees
Answer:
Step-by-step explanation:
This question is illustrated using the attachment and will be solved using cosine formula
<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>
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The cosine formula in this case is:
Where
The equation becomes
Collect Like Terms
Using quadratic formula:
Where
or 
or 
or 
But length can not be negative.
So:
Answer: 2x+4+3(2x-1) is not equivalent to 8x-2. it is equivalent to 8x+1
Step by step solution:
Step 1 :
Equation at the end of step 1 :
(2x + 4) + 3 • (2x - 1)
Step 2 :
Final result :
8x + 1
