All categories

3 years ago

18) Write an equation in point-slope form for the line that is perpendicular to the given line and passes

Mathematics

2 answers:

ruslelena [56]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 4(x + 2) ← is in point- slope form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{4}$

and (a, b) = ( - 2, 6), then

y - 6 = - $\frac{1}{4}$ (x - )- 2)), that is

y - 6 = - $\frac{1}{4}$ (x + 2)

Pavlova-9 [17]3 years ago

3 0

Answer:

$\displaystyle y - 6 = -\frac{1}{4}(x + 2)$

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. Plus, perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so 4 becomes −¼.

I am joyous to assist you anytime.

You might be interested in

Order the following numbers from least to greatest : .83 , 7/8 , 0.32 , 1/2

miskamm [114]

0.32,1/2,7/8,.83 is your answer hope I helped

3 0

3 years ago

Read 2 more answers

Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the s

dolphi86 [110]

Answer:

The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour

Step-by-step explanation:

The given parameters are;

The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind

The speed of the wind = 5 miles per hour

Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;

Time = Distance/Speed

Mr Solberg's speed against the wind = v - 5

Mr Solberg's speed with the wind = v + 5

The distance covered at a given time, while riding against the wind = 3 miles

The distance covered at the same time, while riding with the wind = 4 miles

The time in both instances are therefore 3/(v - 5) = 4/(v + 5)

From which we have;

3 × (v + 5) = 4 × (v - 5)

3·v + 15 = 4·v - 20

20 + 15 = 4·v - 3·v

4·v - 3·v = 20 + 15

v = 35

The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.

7 0

4 years ago

Which system is equivalent to

OLga [1]

Answer: B

Step-by-step explanation: It B even tho there is not a B

5 0

3 years ago

What is the maximum percent of net spendable income that should be set aside for housing

stepladder [879]

Answer:

Answer;

-38 %

Step-by-step explanation:

Explanation;

-Budget busters are the large potential problem areas that can destroy a budget. Failure to control even one of these problem areas can result in financial disaster.

-Housing takes about 38 percent of your monthly budget. Housing decisions should be based on need and financial ability, not on internal or external pressure.

-Food takes 12 percent of your monthly budget. The reduction of a family's food bill requires quantity and quality planning.

-Transportation (purchase and maintenance), takes 15 percent of your monthly budget, Debts takes 5 percent of Net Spendable Income, Insurance takes 5 percent of Net Spendable Income assuming an employer provides medical insurance, Recreation/Entertainment takes 5 percent of Net Spendable Income, Clothing takes 5 percent of Net Spendable Income, Medical and dental takes 5 percent of Net Spendable Income and Savings takes 5 percent of Net Spendable Income

7 0

4 years ago

Read 2 more answers

What’s the distance between (-9,-3) and y=x-6

jeyben [28]

hopefully this will help :)

8 0

4 years ago