Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Answer 1

Answer: Hello,

The slope of y-12=2x-8 is 2 thus the perpendicular will have as slope -1/2

y-3=-1/2(x-2)
or y=-x/2 + 4 is the equation searched.

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Solve 8m² + 20m = 12 for m by factoring

Please show all work

Answers

$8m^(2)+20m=12 / :2$
$4m^(2)+10m=6$
$4m^(2)+10m-6 =0$
$\Delta=b^(2)-4ac$
$\Delta=100-(4*4*-6)$
$\Delta=100+96=196$
$x1=(-b-√(\Delta))/(8)$
$x1=(-10-14)/(8)$
$x1=(-24)/(8)$
$x1=-3$
$x1=(-b+√(\Delta))/(8)$
$x2=(-10+14)/(8)$
$x2=(1)/(2)$

so you can write $8m^(2)+20m=12 / :2$ as

$8(m+3)(m-(1)/(2))=8*[m^(2)+2.5m-1.5]=0$

Write the number 144 as a row of prime numbers multiplied together

Answers

$144= 2*2*3*2*2*3=2^(4)*3^2$

Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio of the bananas to the total number of fruit, then explain it's meaningPlease help! :(

Answers

Answer: 5 bananas to 25 fruits

Step-by-step explanation: its kinda hard for me to explain 0.0

Which is the point where sides meet in a polygon

Answers

The point where sides meet in a polygon is called the vertex.

It is called a vertex, or a corner.

Pablo, Sofia, and Mia got some candy eggs at a party. Pablo had three times as many eggs as Sofia, and Sofia had twice as many eggs as Mia. Pablo decides to give some of his eggs to Sofia and Mia so that all three will have the same number of eggs. What fraction of his eggs should Pablo give to Sofia?

Answers

Pablo : 3(2x) = 6x
Sofia : 2x
Mia : x

Assuming x = 10
Mia : x = 10
Sofia : 2x = 2(10) = 20
Pablo : 3(2x) = 3(20) = 60

10 + 20 + 60 = 90
90/3 = 30 candy eggs per person

Pablo: 60 x 1/2 = 30
Sophia: 30-20 = 10 : 10
Mia : 30 - 10 = 20 : 20

Ratio of eggs given to sophia from pablo's set = 10/60 = 1/6
Ratio of eggs given to mia from pablo's set = 20/60 = 2/6 = 1/3

a cyclist covers a distance of 12 km at a speed of 8 km per hour calculate the time taken to cover this distance

Answers

1.5 hours

To find how long it took for them to travel 12km, subtract 8 from 12. (4)

If it took them 1 hour to travel 8km and 4 is half of 8, then it would have took them 1 and a half hours to travel the 12km.

If you need a larger explanation, please let me know :)

Hope this helps!

Need anything else?

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