All categories

2 years ago

identifying equation in point slope form for the line perpendicular to y equals negative 1 / 3x - 6 that passes through -1,5

Mathematics

1 answer:

solmaris [256]2 years ago

3 0

Answer:

y = 3x +8

Step-by-step explanation:

The slope of the given line is -1/3. The slope of a perpendicular line is the opposite of the reciprocal of that: -1/(-1/3) = 3.

Then, in point-slope form, the equation of the line is ...

... y - k = m(x - h) . . . . . for slope m through point (h, k)

... y - 5 = 3(x -(-1)) . . . . . for line of slope 3 through (-1, 5)

... y = 3x +8 . . . . . . . . . simplify

You might be interested in

When a decision maker is faced with several alternatives and an uncertain set of future events, s/he uses __________ to develop

Step2247 [10]

Answer:

Option b: a decision analysis

Step-by-step explanation:

Option b: a decision analysis

Decision analysis is referred to that the strategic marketing planning process that consists of a systematic visual approach. it facilitates the use of all tools that can be needed to have a discussion on the decision process.

An approach like a diagrammatic representation of available resources, choices are mentioned on influence to easily draw the decision.

4 0

2 years ago

Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and

erastova [34]

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

8 0

2 years ago

Read 2 more answers

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negativ

wariber [46]

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

3 0

2 years ago

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

xxMikexx [17]

If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.

Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y

Solving for y in the second equation:
y = 200 / tan 51°33'

Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft

Therefore, the boat traveled 458.81 ft before it stopped.

5 0

2 years ago

Read 2 more answers

a deli sells sliced meat and cheese. one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. a san

Nesterboy [21]

Since my answer was deleted here it is:

The variable x represents the cost per pound of meat.

The variable y represents the cost per pound of cheese.

The deli charges $4.50 for a pound of meat.

Have a great day! (this is late but for anyone else who needs it)

5 0

2 years ago

Read 2 more answers