Answer:
12.
a.
i. (x-9)(x-3)
ii. x = 9 or 3
b. (y+10(y-10)
Step-by-step explanation:
12.
a.
i.
Two numbers that multiply to make 27 and add to make -12 are: -9 and -3.
Put into brackets so you have: (x-9)(x-3)
ii.
Consider each bracket as its own equation.
x-9=0
x=9
x-3=0
x=3
b.
Difference of two squares
Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Answer
300,000
the value of the digit in the ten thousands place is different from the digit in the thousands place because, even though they are the same number they have a different value being, "50,000" and "5,000".
hope this helps!
11 skirts since you can use 3/4 on each yard of 9. Then you get a remander of 2, 3/4! 9 + 2 is 11.