Substitute y = 15x to the equation y = 25 + 12.5x:
15x = 25 + 12.5x <em>subtract 12.5x from both sides</em>
2.5x = 25 <em>divide both sides by 2.5</em>
x = 10
Substitute the value of x to the equation y = 15x:
y = (15)(10)
y = 150
<h3>
Answer: x = 10 and y = 150</h3>
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
See the picture attached to better understand the problem
we know that
A quadrilateral is called Cyclic quadrilateral <span>if its all vertices lie on the circle.
</span><span>The opposite angles of a Cyclic - quadrilateral are supplementary
</span>so
∠A+∠C=180°
and
∠
B
+∠D=180°
therefore
the answer is<span>
C) The sum measure of ∠B and ∠D equals 180°</span>
1. the factors of 24 are 1, 24, 2, 12, 3, 8, 4, and 6. Each pair, fx. 1 and 24 with be 24 when multiplied.
2. Quaderant 3, quaderants go from 1 to 4 counterclockwise, and a (negative x, negative y ), will be in the 3rd quaderant if you go counterclockwise.
3. 7×x, the answer is simple 7 and x, with the key words "product of" which signify multiplication so it will be 7 times x.