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jeyben [28]
3 years ago
15

Architectural Designers is creating a schematic for a bridge over the Columbia River whose arch is in the shape of a parabola. T

he road, 40 feet above the river surface, represents the directrix of the parabolic arch. The focus of the parabolic arch is located 20 feet above the river surface. In the schematic, the river surface will be positioned along the x-axis and the axis of symmetry for the downward opening parabolic arch will be positioned along the y-axis. Which equation best models the parabolic arch in the schematic?
A. y=0.025x^2+30
B. y=-0.025x^2+10
C. y=-0.025x^2+30
D. y=0.025x^2+10
Mathematics
2 answers:
FromTheMoon [43]3 years ago
4 0

Answer:the answer is most likely c.

Step-by-step explanation:

A and D don’t open downwards making them incorrect. B although seems right is wrong because when it doesn’t have the focus point 20. C has that making it most likely to be true

Masteriza [31]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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HELP ASAP!!! DUE IMMEDIATELY!!!
Setler [38]

Answer:

Angle ABD is 16 degrees and Angle DBC is 74 degrees

Step-by-step explanation:

Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)

7 0
2 years ago
Evaluate 3x² - 4xy + 2y² - 1 for x = - 3 and y = 5
zhannawk [14.2K]

Answer:

3x^{2} - 4xy + 2y { }^{2} - 1  \\ 3 \times ( - 3) { }^{2}  - 4 \times ( - 3)  \times 5 + 2 \times 5 {}^{2} - 1 \\ (3 \times 9) - ( - 60) + 50 - 1 \\ 27 + 60 + 50 - 1 \\ 165

8 0
1 year ago
Read 2 more answers
Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco
Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

d=136

The first part of the trip there was lots of traffic, she only averaged 16 mph;

v_1=16

The second part of the trip there was no traffic so she could drive 44 mph;

v_2=44

She traveled for a total of 5 hours;

t=5

let x represent the time in traffic when she traveled at 16 mph

t_1=x

the time the traffic is clear would be;

t_2=t-t_1=5-x

Recall that distance equals speed multiply by time;

d=v_1t_1_{}_{}^{}+v_2t_2

substituting the values;

136=16x+44(5-x)

solving for x;

\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}

So;

\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

7 0
2 years ago
What is the probability of the spinner landing on 2? A spinner is split into 4 equal parts labeled 1, 2, 3, and 4. StartFraction
liubo4ka [24]

Answer:

The probability of the spinner landing on 2 is one fourth.

Step-by-step explanation:

The spinner is split into 4 equal parts labeled 1, 2, 3, 4

The probability of the spinner landing on 2 is given as:

(Possibility of it landing on 2) ÷ (Total possible outcome)

The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.

It can only land on 2 once, so the possibility of it landing on 2 is 1.

Probability = 1/4

7 0
4 years ago
Read 2 more answers
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