The slope of the line is 4/10
remember: rise over run
I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°
Answer:
12+8=x or x-8=12 and they collected 20 leaves yesterday
Step-by-step explanation: Since they collected 8 fewer today, to find yesterday u would have to add. 12+8=20. PS idk if that makes sense srry
Answer:
119 student tickets and 95 non-student tickets
Step-by-step explanation:
I did a trial-and-error solution.
I started with 107 students and 107 non-students:
(107*$7)+(107*$12) = $2033
It was too high, which tells us that there should be more who paid for the cheaper price.
I ended up with 119 and 95:
(119*$7)+(95*$12) = $1973
