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3 years ago

When calculating the area of a trapezoid, how do you determine which sides are the bases?

Mathematics

1 answer:

ira [324]3 years ago

3 0

Here is a video to help you with your question:

https://youtu.be/WaeD3qKc7Jc

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X2-3xy-5xy-7y2+4x2+8y2

Zepler [3.9K]

For this case we must simplify the following expression:

$x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2$

We must add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2$

Thus, the simplified expression is:

$5x ^ 2-8xy + y ^ 2$

Answer:

$5x ^ 2-8xy + y ^ 2$

4 0

4 years ago

Solve the following formula for b<br><br> y=6(5a+3b)<br> what does b equal

Ratling [72]

Answer:

30a + 18b

Step-by-step explanation:

6(5a+3b)

Just multiply the six in both numbers

( 6x5a) + (6x3b)

= 30a +18b

Hope this helps =)

4 0

3 years ago

While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

5 0

3 years ago

Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test

viktelen [127]

Answer:

Step-by-step explanation:

To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:

C = 2M + 7

(Variables are representative of the first letter of each name)

Seeing as Christopher scored 87, we can put that into the equation and solve for M.

So, the equation will be:

87 = 2M + 7

Subtract 7 from both sides in order to isolate variable M on the right side.

80 = 2M

Now solve for M, which is 40 (divide both sides by 2).

7 0

3 years ago

The length of a rectangle is 3x^2+7x+9 and it’s width is 3x+6

Lunna [17]

Answer: 5x/9 + 10 Associative Pr

operty of addition

7 0

3 years ago