Answer:
The length of the second base is
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
where
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
In this problem we have
substitute and solve for b2
Answer:
x = 4
, y = 4
Step-by-step explanation:
Solve the following system:
{4 x - 2 y = 8 | (equation 1)
y = (3 x)/2 - 2 | (equation 2)
Express the system in standard form:
{4 x - 2 y = 8 | (equation 1)
-(3 x)/2 + y = -2 | (equation 2)
Add 3/8 × (equation 1) to equation 2:
{4 x - 2 y = 8 | (equation 1)
0 x+y/4 = 1 | (equation 2)
Divide equation 1 by 2:
{2 x - y = 4 | (equation 1)
0 x+y/4 = 1 | (equation 2)
Multiply equation 2 by 4:
{2 x - y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Add equation 2 to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 4
, y = 4
Answer:
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 32. When rounding to the nearest hundred, like we did with 32 above, we use the following rules: A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
Step-by-step explanation:
Answer:
One rose bush costs $6
One pot of ivy costs $5
Step-by-step explanation:
Set up an equation:
Variable x = cost of rose bushes
Variable y = cost of pots of ivy
3x + 3y = 33
12x + 4y = 92
I will use substitution to first solve for x:
3y = 33 - 3x
Divide both sides by 3
y = 11 - x
Substitute y value for 11 - x:
12x + 4(11 - x) = 92
Use distributive property
12x + 44 - 4x = 92
Combine like terms
8x + 44 = 92
8x = 48
Divide both sides by 8
x = 6
Solve for y by plugging in 6 for the x value:
3(6) + 3y = 33
18 + 3y = 33
3y = 15
Divide both sides by 3
y = 5
Check work:
3(6) + 3(5) = 33
18 + 15 = 33
33 = 33
Correct
<h2>
Answer:</h2>
In this exercise we have the following pattern:
1, -12, 12, -1
So we need to find the rule for this patter. First of all, let's take the first number, which is 1:
1
To find the second number, which is -12, we must subtract 13, because:
1 - 13 = -12
To find the third number, which is 12, we must add 24, because:
-12 + 24 = 12
In conclusion, the correct answer is A.) subtract 13, then add 24