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2 years ago

the center of a circular sunflower with a diameter of 4 centimeters is (-2,1). Which equation represents the sunflower?

1 answer:

6 0

The standard equation the circle is given by:
(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2
Where,
(xo, yo): coordinates of the center of the circle
r: radius of the circle
Substituting values we have:
(x - (- 2)) ^ 2 + (y-1) ^ 2 = (4/2) ^ 2
Rewriting:
(x + 2) ^ 2 + (y-1) ^ 2 = 4
Answer:
An equation that represents the sunflower is:
(x + 2) ^ 2 + (y-1) ^ 2 = 4

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Henri bought a swimsuit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options.

lora16 [44]

Answer:

The first, second to last and last stements are true

Step-by-step explanation:

You times 8 by the percentage as

e.g 8 x 1.50 = 12 is the same as marked up by 50%

e.g 8 x 1.70 =13.6 is the same as marked up by 70%

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1 year ago

Read 2 more answers

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

scoundrel [369]

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

$\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)$

We'll use the first two values (6,10) (8,20)

$\displaystyle p-6=\frac{8-6}{20-10}(V-10)$

Simplifying and rearranging, we get the model

$\displaystyle p(V)=\frac{1}{5}V+4$

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

$\displaystyle p(35)=\frac{1}{5}(35)+4=11$

$\displaystyle p(48)=\frac{1}{5}(48)+4=13.6$

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

$\displaystyle p(60)=\frac{1}{5}(60)+4=16$

The price for a 60-ounce bag of popcorn would be $16

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1 year ago

The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package fo

Brilliant_brown [7]

Knowns:
C = mx + b
m = 367
b = 1500

C = 367x + 1500

Cost (c) = 16,600

16600 = 367x + 1500
subtract 1500 from both sides

15,100 = 367x
Divide both sides by 367

x = 41.14

41 Students can attend the trip! Hope this helps

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1 year ago

Two friends decide to go on a four hour ride on off road vehicles through mountainous terrain the graph represents their elevati

Aleksandr-060686 [28]

Answer:

Extrema: relative minimum (1.25,-3.25), relative maximums (3.25,10) and (0,0)

Zeros: (0,0), (2,0), and (4,0)

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Intervals of increase and decrease: increasing on (-∞, 0) and (1.25, 3.25), decreasing on (0, 1.25) and (3.25, ∞)

Positive and negative intervals: positive on (2, 4), negative on (-∞, 0), (0, 2), and (4, ∞)

plato answer

Step-by-step explanation:

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2 years ago

Kay buys 12 pounds of apples. Each pound costs $3.if she gives the cashier two $20 bills, how much change should she receive.

zlopas [31]

12 pounds x $3 = $36

$40 - $36 = $4

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1 year ago