Answer:
y+4=-3(x+1)
Step-by-step explanation:
You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula
(y-y1=m[x-x1]), you just plug the rest of the variables in.
Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
Answer:
sqrt(x-3)+3
Step-by-step explanation:
Consider the graph of a function f(x), if we want to move the graph right by a units we have f(x-a), to then move it up by b units we have f(x-a)+b. In this case you replace the x with x-a to get sqrt(x-a)+b
Notice how the graph goes through (3,3) and (4,4) like the original graph goes through (0,0) and (1,1). This means we want to translate it 3 up and 3 right giving us the answer.
<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,
Substituting the values, r = 3 and V = 57, we get;
Simplifying the terms, we get;
Multiplying both sides of the equation by 3, we get;
Dividing both sides of the equation by 28.26, we get;
Thus, the height of the cone is 6.05 units.
