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3 years ago

Write the equation of the line that passes through the points (3,4) and (1,5)

Mathematics

2 answers:

Illusion [34]3 years ago

8 0

Hi,

$y= -\frac{1}{2} x+b$

Nostrana [21]3 years ago

3 0

Given points
(x₁,y₁) = (3,4)
(x₂,y₂) = (1,5)

FIRST
Find the slope of the line. This is general formula to determine the slope
m = (y₂ - y₁)/(x₂ - x₁)

Plug in the numbers to the formula
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 4)/(1 - 3)
m = 1/(-2)
m = -1/2

SECOND
Determine the line equation
This is general formula to determine the line equation
y - y₁ = m(x - x₁)

Plug in the numbers
y - 4 = -1/2 (x - 3)
y - 4 = (-1/2)x + 3/2
y = (-1/2)x + 3/2 + 4
y = (-1/2)x + 11/2
(this is the equation of the line)

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Given the circle with the equation x2 + y2 = 5, determine the location of each point with respect to the graph of the circle. In

Maslowich

Answer:

A) (-1,1) -----> The ordered pair is on the interior of the circle

B) (-2,1) -----> The ordered pair is on the circumference of the circle

C) (4,-8) -----> The ordered pair is on the exterior of the circle

Step-by-step explanation:

we know that

In this problem

1) If a ordered pair satisfy the equation $x^{2} +y^{2}=5$

then

The ordered pair is on the circumference of the circle

2)If a ordered pair satisfy the inequality $x^{2} +y^{2}>5$

then

The ordered pair is on the exterior of the circle

3)If a ordered pair satisfy the inequality $x^{2} +y^{2}< 5$

then

The ordered pair is on the interior of the circle

Verify each case

case A) (-1,1)

For x=-1, y=1

$-1^{2} +1^{2}=2$

$x^{2} +y^{2}< 5$

therefore

A) (-1,1) -----> The ordered pair is on the interior of the circle

case B) (-2,1)

For x=-2, y=1

$-2^{2} +1^{2}=5$

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

therefore

B) (-2,1) -----> The ordered pair is on the circumference of the circle

case C) (4,-8)

For x=4, y=-8

$4^{2} + (-8)^{2}=80$

$x^{2} +y^{2}> 5$

therefore

C) (4,-8) -----> The ordered pair is on the exterior of the circle

5 0

3 years ago

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total

Sati [7]

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

5 0

2 years ago

5 times 3 2/5 I need help pls k have school soon

timama [110]

5 times 3 is 15! i’m confused at the rest of the question!

8 0

1 year ago

Read 2 more answers

What is the mean, median, mode, and range of 8, 35, 10, 12, 14?

Ivan

answer:

mean: 15.8

median: 12

mode: no mode

range: 27

step-by-step explanation:

first know how to find each of the above and what they are
mean = (avg) add all the numbers, then divide by the number of numbers
median = the middle number from increasing order
mode = the one that repeats the most
range = the difference between the largest and smallest number

8, 35, 10, 12, 14

mean

8 + 35 + 10 + 12 + 14 = 79

there are five numbers

79 / 5 = 15.8

median

put them from smallest to largest

8, 10, 12, 14, 35

12 is the median OR the middle number

mode

no number repeat, so no mode

range

35 - 8 = 27

3 0

2 years ago

Can somebody help me ?

inna [77]

Answer:

Step-by-step explanation:

3 0

2 years ago