Basically solve for y
minus 5x fromboth sides
-15y=-5x-60
divide both sides by -15
y=1/3x+4
In mathematics<span>, </span>trigonometric identities<span> are equalities that involve </span>trigonometric functions<span> and are true for every value of the occurring </span>variables<span> where both sides of the equality are defined. Geometrically, these are </span>identities<span> involving certain functions of one or more </span>angles<span>.
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So we know this identity:
![sin(\alpha+ \beta)=sin \alpha cos \beta +cos \alpha sin \beta](https://tex.z-dn.net/?f=sin%28%5Calpha%2B%20%5Cbeta%29%3Dsin%20%5Calpha%20cos%20%5Cbeta%20%2Bcos%20%5Calpha%20sin%20%5Cbeta)
Given that α = 20° and β = 4°, the solution is:
Answer:
The relation is not a function.
Step-by-step explanation:
Since x=4 produces y=0 the relation is not a function
The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).
<h3>What is a circle?</h3>
It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is x² + y² + 4x – 8y + 11 = 0
Add 9 on both sides of the equation, then we have
x² + y² + 4x – 8y + 11 + 9 = 9
x² + 4x + 4 + y² – 8y + 16 = 9
(x + 2)² + (y – 4)² = 3²
The center of the equation is (–2, 4).
More about the circle link is given below.
brainly.com/question/11833983
Answer:
7 1/2 miles
Step-by-step explanation:
The distance to the airport is 10 miles
The distance to the lake is 3/4 the distance to the airport
d =3/4 *10
d =30/4 = 7 2/4 = 7 1/2 miles