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

Answers

Answer 1

Answer:

Answer:c

Step-by-step explanation:

A and D are incorrect just by the fact that they dont open downward(arch) B. Is also incorrect because the y intercept 10 doesn’t include the focus point 20 also u can use this calculator called parabola calculator to pin point focus and directive just in case u want to check my answer. C is most correct because it has intercept 30 including focus point 20...(SHOUT OUT TO ILT)

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Algebratic simplify exponential expression 2x-5

Answers

2x-5
+2 +2
x=3
2(3)-5=1

How do you do this math Question

Answers

remember
a/b time b/a=1
and
a/b times b=a

and when working with inequalities (> < > <)
flip the sign when dividding or multiplying by a negative number
so < becomes >, > becomes <

(3/5)e>9
multiply both sides by 5/3
e>45/3
e>15

x/-6>5
multiply both sides by -6 don't forget to flip sign
x<-30

Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?

Answers

Answer:

she was left with 28$ I'm in high school i think I'm right

Step-by-step explanation:

The current temperature in Smalltown is 27 °F. This is 5 degrees less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?

Answers

Answer:

16° F.

Step-by-step explanation:

Given:

The current temperature in Small town is 27 °F.

This is 5 degrees less than twice the temperature that it was six hours ago.

Question asked

What was the temperature in Small town six hours ago?

Solution:

Let the temperature in Small town six hours ago was $x$

As given that the current temperature in Small town is 27 °F and this is 5 degrees less than twice the temperature of six hours ago, the equation will be:-

27 °F = 5 degrees less than twice the temperature of six hours ago

27 °F = $2x-5$ °

Adding both sides by 5

$27+5=2x-5+5\n32=2x$

Dividing both sides by 2

$(32)/(2) =(2x)/(2) \n16=x$

Thus, the temperature in Small town six hours ago was 16° F.

Segments AP and BP have the same length. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B?I. (3/2, 6)

II. (9, 24)

III. (-8,7)

A) I and II only

B) II and III only

C) II only

D) III only