Mackenzie is planning shapes to cut out of stone for a large sculpture. She puts diagrams of two figures on a coordinate grid (s
1 answer:
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Refer to the figure shown below.
Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50
This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.
The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2
The equation of the parabola is
y = - 2x² + 50
At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
Therefore the height of the tunnel (vertical clearance) at x = 3 m is
h = y(3)
= -2(3²) + 50
= - 18 + 50
= 32 m
Answer: 32 m
Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50
This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.
The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2
The equation of the parabola is
y = - 2x² + 50
At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
Therefore the height of the tunnel (vertical clearance) at x = 3 m is
h = y(3)
= -2(3²) + 50
= - 18 + 50
= 32 m
Answer: 32 m
Answer:
The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .
Step-by-step explanation:
Formula for compounded semiannually
Where P is the principle , r is the rate in decimal form and t is the time.
As given
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .
Here
Principle = $2,900
5.5% is written in the decimal form.
= 0.055
Time = 1 year
Put in the formula
Amount = $ 3062.4 (Approx)
Thus the amount after 1 years is $3062.4 (Approx) .
Now find out the compound interest .
Amount = Principle + Compound interest
Here
Amount = $ 3062.4
Principle = $2,900
Put in the above
$3062.4 = $2,900 + Compound interest
Compound interest = $3062.4 - $2,900
Compound interest = $162.4
We will use the slope formula and fill it in accordingly.
Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6
.
The slope of your line is -9/7