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3 years ago

Write an equation in point-slope form for each line. Slope is 1/4, and (1,2) is on the line.

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

Step-by-step explanation:

formula:y-y1=m(x-x1)

m=slope=1/4

y-2=1/4(x-1)

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A paddleboard rental company charges $5 to borrow a lifejacket and $10 per hour. Write an equation in slope-intercept form that

a_sh-v [17]

Answer:

y=10x+5

Step-by-step explanation:

3 0

3 years ago

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

Round 0.79 to the nearest ones

Sauron [17]

Answer:

Step-by-step explanation:

0.79 is more than half, so rounds to 1.

4 0

3 years ago

Miss Barton and three neighbors purchase a snowblower to share. If the snow blower cost for 439.20, describe how you can estimat

faust18 [17]

Each person will have to pay 700 dollars

5 0

3 years ago

9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

wolverine [178]

Answer:

Step-by-step explanation:

9x + 9 = 25 + x

8x = 16

x = 2

make sure to ask if you need any further guidance.

5 0

2 years ago

Read 2 more answers