Answer: Choice A) 4, 3, 5, 1, 2
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Explanation:
Since tan(x) = sin(x)/cos(x) is a known and widely used trig identity, this must mean step 4 goes first.
The answer is between choice A and choice B.
The question is now: What is the correct second step?
It's either step 3 (choice A) or step 5 (choice B)
It turns out that step 3 is the correct statement after step 4. The sin(2x) breaks up into 2sin(x)cos(x), while the cos(2x) breaks up into cos^2(x)-sin^2(x). There are three different variations for the cos(2x) and this just happens to be one of them.
So we can rule out choice B and go with choice A as the final answer.
Because they're consecutive, it means that the first one is x, the second one is x+1, the third one is x+2 (x+1+1), and the fourth one is x+3. Because we're given that the sum of all of them is 682, just add all of them together:
x+(x+1)+(x+2)+(x+3)=682
x+x+x+x+1+2+3=682
4x+6=682
4x+6-6=682-6
4x=676
x=676/4
x=169
Thus, the consecutive integers are: 169, 170, 171, 172
It is 9 squares. Todayyyyy
Answer:
Center: (-4, 1)
Radius: √2
Explanation:
Circle general equation is represented by (x - h)² + (y - k)² = r²
where (h, k) is the center and "r" resembles radius
To write in general equation form, start completing square:
x² + y² + 8x -2y + 15 = 0
x² + 8x + y² - 2y + 15 = 0
(x + 4)² - 4² + (y - 1)² - (-1)² + 15 = 0
(x + 4)² + (y - 1)² - 16 - 1 + 15 = 0
(x + 4)² + (y - 1)² - 2 = 0
General equation form:
(x - (-4))² + (y - 1)² = (√2)²
From here, comparing with the formula equation.
It is determined: center: (-4, 1) and radius: √2
Answer:
1. 375
2. 294
Step-by-step explanation:
Area of a trapezoid
A = 1/2 (b1+b2) *h where b1 and b2 are the top and bottom of the trapezoide
1.
A = 1/2 (14+36) *15
= 1/2 (50)*15
= 25*15
375
A = 1/2 (21+7) *21
= 1/2 (28)*21
= 14*21
294
