Answer:
D) 6x + 15
Step-by-step explanation:
Given was <span><span>cotθ</span>=−<span>21</span></span> and cot is the reciprocal of tan
therefore
<span><span>tanθ</span>=<span>1<span>−2</span></span></span>
solve for the hypotenuse c since t he opposite side <span>a=1</span> and the adjacent sides <span>b=−2</span> were already given. that is,
<span><span>c2</span>=<span>a2</span>+<span>b2</span></span>
<span>c=<span>√<span><span><span>(1)</span>2</span>+<span><span>(−2)</span>2</span></span></span></span>
<span>c=<span>√5</span></span>
Solving for <span>sinθ</span>
<span><span>sinθ</span>=<span><span>oppositesides</span><span>hypoteνse</span></span>=<span>ab</span></span>
<span><span>sinθ</span>=<span>1<span>√5</span></span></span> need to rationalize
<span><span>sinθ</span>=<span>(<span>1<span>√5</span></span>)</span>×<span><span>√5</span><span>√5</span></span></span>
<span><span>sinθ</span>=<span><span>√5</span>5</span></span>
Note that the adjacent side of the angle is <span>−2</span> so the angle
θ is found in the <span>2nd</span> quadrant.
Answer:
y= 3/4x+17/4
Step-by-step explanation:
You're welcome :)
Answer:
2x² + 4x + 3 = 0
Step-by-step explanation:
The function is said to be quadratic if it has highest degree = 2.
Further, The standard form of Quadratic Equation is:
ax² + bx + c = 0
where, a ≠ 0
a, b and c are constants
and x is unknown variable.
Thus, The Standard form of given Quadratic Equation is 2x² + 4x + 3 = 0
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant. So the answer would be 10
