The function is given in <u>point-slope form</u>, which is:
y₂ - y₁ = m(x₂ - x₁)
The equation they gave you is:
y - 4 = -3(x + 2)
An x of -2 and a y of 4 are in the equation:
(-2, 4)
Therefore, the point (-2, 4) lies on the line of the given equation, or B.
<em>Hope this helps! :)</em>
Answer:
D. 6.3
Step-by-step explanation:
Well you can make a triangle with the line PQ with it's height as 2 and base as 6.
Then you can use the Pythagorean Theorem to find the length of PQ.
a²+b²=c²
2²+6²=c²
4+36=c²
40=c²
c²=40
<em>Square root both sides</em>
c=
c≈6.3
Our answer is D. 6.3
<span>The question asks to find how long will it take until to fill the cone if 1413 cm^3 of water goes in it every minute. First we have to find the volume of the cone: V = 1/3 r^2 Pi * h; V = 1/3 * 60^2 * 3.14 * 150 ; V = 1/3 * 3600 * 471; V = 565,200 cm^3. If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes. </span>
Answer:
Value of x = 19.42 unit (Approx)
Step-by-step explanation:
Given:
Base = 6 unit
Angle θ = 72°
Find:
Value of x
Computation:
Cos θ = base / Hypotenuse
Cos 72° = 6 / x
0.3090 = 6 / x
x = 19.4174
Value of x = 19.42 unit (Approx)
