Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
Answer:
No.
Step-by-step explanation:
Change it so that both fractions would have the same denominator. Note that what you do to the denominator, you must also do to the numerator.
Multiply 3 to both the numerator & denominator of 8/20
(8/20)(3/3) = 24/60
24/60 ≠ 25/60 ∴ these 2 fractions are not proportional.
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Let's simplify step-by-step.
<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b2
</span></span></span>There are no like terms.
Answer:
<span>=<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b<span>2</span></span></span></span></span>
600 x 40 I think the new dimetions will be
Answer: 31.5 miles
Step-by-step explanation: know how many miles tabitha walked per hour, which is 4.5 miles. then multiply 13.5 x 2, and add 4.5 to receive your answer - 31.5.