Plz help i really do need help

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?

Svet_ta [14]

Answer

y = -2x + 10

Explanation

The general equation for a straight line is y = mx + c where m and c are gradient and y-intercept respectively.

y=x/2+3 = y (1/2)x + 3

gradient = 1/2

Gradient of the line perpendicular to y=x/2+3 is;

m × 1/2 = -1

m = -2

Now we find the equation of a line passing through (1,8) and have a gradient of -2.

-2 = (y - 8)/(x - 1)

-2(x - 1) = (y - 8)

2 -2x = y - 8

y = -2x + 10

3 0

3 years ago

Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths

nekit [7.7K]

The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

Given that,

Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

We have to determine,

Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

According to the question,

Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

$\rm Speed = \dfrac{Distance}{Time}$

Substitute the values in the equation,

$\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute$

If 1 mile = 5,280 feet, then his speed is,

$\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\$

And 1 minute = 60 seconds, then his speed is,

$\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second$

Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

For more details about Equation refer to the link given below.

brainly.com/question/971941

6 0

2 years ago

Factor completely, then place the answer in the proper location on the grid. 6x ^2 - 3x - 30

seraphim [82]

Factor out the GCF first
3(2x² - x - 10)
3(2x - 5)(x + 2)

3 0

3 years ago

Read 2 more answers

What lump sum must be invested at 9%, compounded monthly, for the investment to grow to $72,000 in 6 years?

lana [24]

Answer: $42042.50

Step-by-step explanation:

We need to use algebra and equations.

A = P x (1 + (R/n)/100)^nt

our amount (A) is $72K

the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')

our rate (R) is 9 (9%)

our time (t) is 6 (6 years)

we need to find our principal/initial amount (p)

72000 = p x (1 + 0.0075)^12x6

p = $42042.50

6 0

3 years ago

How do you find the perimeter of a rectangle with diagonal

slamgirl [31]

All the sides of a proper rectangle are 90 degrees.
So you use sine and cosine to figure out the two different lengths of sides ( because rectangle sides are parallel). To find area you times the two sides together. To find perimeter you times the two sides by two and add them together.

5 0

2 years ago