Step-by-step explanation:
sin⁴ x − sin² x
Factor:
(sin² x) (sin² x − 1)
Pythagorean identity:
(1 − cos² x) (-cos² x)
Distribute:
-cos² x + cos⁴ x
cos⁴ x − cos² x
38
because since all abc and xy have the same coefficients it makes it easier.
i just made a=-2, b=-4,and c=4 because when added up it equals -2
i also made both x and y =5 becasue when added up it equals 10
so, -9(-2)+2(5)-9(-4)-9(4)+2(5)
18+10+36-36+10=38
Answer:
B. Beth's age is 18 years, and Sally's age is 42 years.
Step-by-step explanation:
You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.
Hope this helped ^-^
Answer:
£2,121.80
Step-by-step explanation:
To solve this problem, we can use the compound interest formula:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 3% into a decimal:
3% -> 
-> 0.03
Now, plug in the values:
Your answer is £2,121.80
Answer:
X=9/4
Step-by-step explanation:
-3x+10=5x-8
Subtract 10 from each sides
-3x=5x-18
Subtract 5x from both sides
-8x=-18
Divide both sides by -8
x=9/4
I hope this helped
