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Andre45 [30]
3 years ago
5

What is the area of this shape

Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer: 54cm

Step-by-step explanation:

We can break the shape up into a right angled triangle and a square;

Area of square = 6^2 = 36

Area of triangle = 1/2 x 6 x 6 = 18

We add both the answers up at get 54.

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Simplify:<br>1/1-x^(b-a)+1/1-x^(a-b)​
Pachacha [2.7K]

Answer:

<h3>1</h3>

Step-by-step explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)​

\frac{1}{1-x^{b-a}} + \frac{1}{1-x^{a-b}}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a})(1-x^{a-b})}\\=  \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+x^{b-a+a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+1)}\\= \frac{2-x^{a-b}-x^{b-a}}{2-x^{b-a}-x^{a-b}}\\= 1\\ \\

Hence the required answer is 1

8 0
3 years ago
Read 2 more answers
Solve the system by substitution.<br> y = 5x<br> y = -3x + 24<br> pls help :(
Harlamova29_29 [7]

Answer:

x=3, y=15

Step-by-step explanation:

We substitute 5x for y, getting 5x = -3x + 24. We add 3 x to both sides, and have a equation like this: 8x = 24. Divide by 8 on both sides, and we know that x = 3. Since y is 5x, y is 5*3, which is 15.

4 0
3 years ago
Tickets to a local basketball team's games cost $12 each. Brendon and Ed each bought tickets to four games. How much did they sp
den301095 [7]

Answer:

total amount spent is $96 altogether on tickets

Step-by-step explanation:

Step 1

Derive the expression for the total amount Brendon spent on the tickets as follows;

total amount=cost per ticket×number of tickets bought

where;

cost per ticket=$12

number of tickets Brendon bought=4

replacing;

total amount=(12×4)=48

total amount spent by Brendon=$48

Step 2

Derive the expression for the total amount Ed spent on the tickets as follows;

total amount=cost per ticket×number of tickets bought

where;

cost per ticket=$12

number of tickets Ed bought=4

replacing;

total amount=(12×4)=48

total amount spent by Ed=$48

Step 3

Total amount spent altogether=total amount spent by Ed+total amount spent by Brendon

replacing;

Total amount spent altogether=(48+48)=96

They spent Derive the expression for the total amount Brendon spent on the tickets as follows;

total amount=cost per ticket×number of tickets bought

where;

cost per ticket=$12

number of tickets Brendon bought=4

replacing;

total amount=(12×4)=48

total amount spent is $96 altogether on tickets

7 0
4 years ago
1. A weather forecaster says that the temperature is changing at a rate of -8° per hour. At this rate, how long will it take for
ArbitrLikvidat [17]

Answer:

2 hours

Step-by-step explanation:

8 x 2=24

hope it helps

7 0
3 years ago
Which expression shows the quotient of a number n and 4?<br><br>a.4n<br>b.n-4<br>c.n÷4<br>d.n+4​
uysha [10]

Step-by-step explanation: The word quotient means division.

So the quotient of a number and 4 means n ÷ 4.

6 0
3 years ago
Read 2 more answers
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