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miss Akunina [59]
3 years ago
13

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

t of 20 mm halfway across a horizontal distance of 160 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work.

Part B: Identify the focus, directrix, and axis of symmetry of the parabola.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

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Question 6 of 10
xxTIMURxx [149]

Slope = change in y / change in x


slope = (9 - -5) / ( 6-0)

Slope = 14/6

Divide by 2

Slope = 7/3

Answer: B. 7/3

5 0
3 years ago
Justin dug a hole that was 9 1/2 inches deep. His sister Jess built a sand castle next to the hole that
Snezhnost [94]

Answer:

21 ft rigged diwm sir

Step-by-step explanation: I pooped

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3 years ago
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You are arranging a meeting for 56 people. You want 8 people at each table. How many tables do you need?
Lubov Fominskaja [6]

to figure out how many tables we need, we need to split 56 into groups of 8

we can do this by dividing

56 ÷ 8 = 7

you will need 7 tables

8 0
4 years ago
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A. Find PR in the diagram <br> b. Find the perimeter of quadrilateral PQRS
Elan Coil [88]

Answer:

Step-by-step explanation:

The quadrilateral has 4 sides and only two of them are equal.

A) to find PR, we will consider the triangle, PRQ.

Using cosine rule

a^2 = b^2 + c^2 - 2abcos A

We are looking for PR

PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70

PR^2 = 64 + 49 - 112 × 0.3420

PR^2 = 113 - 38.304 = 74.696

PR = √74.696 = 8.64

B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,

We will use the sine rule because only one side,PR is known

For sine rule,

a/sinA = b/sinB

SP/ sin 35 = 8.64/sin110

Cross multiplying

SPsin110 = 8.64sin35

SP = 8.64sin35/sin110

SP = (8.64 × 0.5736)/0.9397

SP = 5.27

SR = SP = 5.27

The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm

6 0
3 years ago
Find the rate of change for each set of ordered pairs. What is the average rate of change of all the sets?
valina [46]

Answer:

Rate of change for two ordered -pairs i,e (x_1, y_1) and (x_2, y_2) is given by;

\text{Rate of change} = \frac{y_2-y_1}{x_2-x_1}

1.

(-1, 12) and (6, 26)

Then;

\text{Rate of change} = \frac{26-12}{6-(-1)}

or

\text{Rate of change}(A) = \frac{14}{7} =2

2.

(-1, -9) and (3, 3)

Then;

\text{Rate of change} = \frac{3-(-9)}{3-(-1)}

or

\text{Rate of change}(B) = \frac{12}{4} =3

3.

(12, 6) and (11, 13)

Then;

\text{Rate of change} = \frac{13-6}{11-12}

or

\text{Rate of change}(C) = \frac{7}{-1} =-7

Now, find the average rate of change of all the sets:

Average defined as the sum of all the observation to the number of observation.

\text{Average rate of change of all sets} =\frac{A+B+C}{3} =\frac{2+3-7}{3} = -\frac{2}{3}

7 0
3 years ago
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