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3 years ago

Three runners competed in a race. Data were collected at each mile mark for

Mathematics

2 answers:

velikii [3]3 years ago

7 0

Answer:

Runner A

Step-by-step explanation:

Just took the test.

Zarrin [17]3 years ago

6 0

Answer:

runner c

Step-by-step explanation:

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Can someone pls help me? I’m confused!

OleMash [197]

Answer:

? = 24

Step-by-step explanation:

Pizzas = 3

Because of this, burgers must be 2

2³ = 8

Tacos = 8

8 + 8 + 8 = 24

7 0

3 years ago

Read 2 more answers

What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?

Leokris [45]

The answer should be 18.6, just substitute x for 2 and y for 3 and solve using PEMDAS :)

6 0

3 years ago

Rewrite the expression in the form 9^n<br> (9^3) (9^12)

BartSMP [9]

Answer:

${9}^{15}$

Step-by-step explanation:

$( {9}^{3} ) \times ( {9}^{12} ) = 9 {}^{3 + 12} = {9}^{15} \\$

5 0

3 years ago

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (1, 1), slope

RSB [31]

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-1)

y=2x-2+1

y=2x-1

Please mark me as Brainliest if you're satisfied with the answer.

7 0

2 years ago