What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Answers

Answer 1

Answer: To express the equation in a point-slope form, obtain first the slope of the line between the points. The slope, m, of this line is,

(y2 - y1)/(x2 - x1) = (8 - 0)/(2--2) = 2

The point-slope form of the line is generally expressed as

y - y2 = m (x - x2)

Thus, in this given the point-slope form is,

y - 8 = 2 (x - 2)

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Bill cleans house windows for $20/houseplus $1/window. If your house has 22
windows; how much will it cost?

Answers

Answer:

$20 (house) + $22 (windows) = $42

It will cost $42 to have Bill clean a house with 22 windows.

$42

explanation:

$1 per window x 22 windows =$22

$20 per house x $22 = $42

Question 4 options:tan Z

cos X

sin X

sin Z

Answers

Answer:

sin X

Step-by-step explanation:

sin X = $(opposite)/(hypotenuse)$ = $(YZ)/(XZ)$ = $(84)/(85)$

Triangle ABC has side lengths 18,24, and 30. Do the side lengths form a Pythagorean triple? Yes or No?

Answers

Answer: Yes, the side lengths form a pythagorean triple.

Step-by-step explanation: Given that the side lengths of triangle ABC are as follows :

$AB=18,~~BC=24,~~CA=30.$

We are to check whether the side lengths form a pythagorean triple or not.

For making a pythagorean triple, the side lengths must satisfy the following :

$AB^2+BC^2=CA^2.$

We have

$AB^2=18^2=324,\n\nBC^2=24^2=576,\n\nCA^2=30^2=900.$

So,

$AB^2+BC^2=324+576=900=CA^2.$

Thus, the side lengths will form a pythagorean triple.

yes, the equation is a^2+b^2=c^2 so if u take 18^2+24^ it equals 900 so to test that you take 30^2 which is = to 900 also so yes

Why does the term angle need to be defined prior to defining perpendicular lines?

Answers

Answer:

Perpendicular means "at right angles".

A line meeting another line at a right angle, or 90° is said to be perpendicular to it.

This is why we need to know what are angles first.

Angles are defined as the space between two intersecting lines close to the point where they meet.

So, when we say perpendicular lines meet at 90° angles, we must know the definition of angles.

Perpendicular lines are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.

There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each tank? Write an equation to find the unknown. Then find the unknown.

Answers

Answer:

$312 / 3 = x \n x = (312)/(3) \n x = (104)/(1) \n x = 104 fish \: in \: each \: tank$

A broker takes 2% as commission for the sale of property of value up to rupees 3,00,000. If the sale price is more than this, the broker changes 1.5% for the remaining amount. If a property was sold for rupees 4,50,000.What was the broker's commission.

Answers

Answer:

The broker's commission was rupees 8,250

Step-by-step explanation:

Selling price of property = rupees 450,000

The sale price is higher than rupees 300,000

Commission for rupees 300,000 = 2% × rupees 300,000 = rupees 6,000

Remaining amount = rupees 450,000 - rupees 300,000 = rupees 150,000

Commission for the remaining amount = 1.5% × rupees 150,000 = 0.015 × rupees 150,000 = rupees 2,250

Total commission = rupees 6,000 + rupees 2,250 = rupees 8,250

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Heights of adults vary according to anormal distribution with a mean of 5.5 feet and a standard deviation of 0.5 feet. Which of the following is the probability that a randomly selected adult has a height over 7 feet?

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150.00 with a standard deviation of $30.20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2.5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test?a.The customers spend more than the national average in his store.b.The manager should decrease prices in his store.c.The customers do not spend more than the national average in his store.d.The customers in his store just come from a rich neighborhood.

28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. From this information, calculate the density of iron.