MATHEMATICS HIGH SCHOOL

Find the perpendicular distance from the point (3, -4) to the line 3x- 4y + 10 =0.​

Answers

Answer 1
Answer:

Answer:

3x - 4y = -10

-4y = -3x - 10

y = (3/4)x + (5/2)

The slope of the perpendicular line will be -4/3.

From (3, -4), go up 4 units, then left 3 units. You will be at (0, 0), so the equation of this line is y = (-4/3)x.

(3/4)x + (5/2) = (-4/3)x

9x + 30 = -16x

25x = -30

x = -6/5, so y = (-4/3)(-6/5) = 24/15 = 8/5

d = √((3 - (-6/5))² + (-4 - (8/5))²)

= √((21/5)² + (-28/5)²)

= (1/5)√(21² + (-28)²)

= (1/5)√(441 + 784)

= (1/5)√1,225

= (1/5)(35)

= 7

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When trying to gather information in order to identify a problem, it is important to _______.a. Evaluate the best course of action
b. Find reliable sources
c. Embrace your assumptions
d. Generate multiple solutions

Answers

When trying to gather information in order to identify a problem, it is important to find reliable sources.

What is a reliable source?

A reliable source is known to be that source of information that gives a thorough, well-think through theory, argument, etc. and it is one that is found to be true.

So therefore, When trying to gather information in order to identify a problem, it is important to find reliable sources.

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brainly.com/question/4231278

#SPJ2

Answer:

B. Find reliable resources

Step-by-step explanation:

What is bigger 7/8 or 13/15?

Answers

the answer would be 13/15

74 students were chosen from a local university to participate in a study. Every student attending the university had an equal possibility of being chosen. Which sampling method was used?sample

census

random selection

voluntary response

Answers

Answer:  random selection

Step-by-step explanation:

Given: 74 students were chosen from a local university to participate in a study. Every student attending the university had an equal possibility of being chosen.

Since we know that only in random selection the participants have the equal probability to get selected.

Hence, the sampling method used her is random sampling.

  • Random sampling is a method of selecting a sample of individuals from a population where the chances of each individual of getting selected is equal.
The answer is : Random Selection 

PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:y=9

Step-by-step explanation:

Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. How can you represent this situation with an equation?

Answers

Answer:

73.00=5.50x+25.50y

Step-by-step explanation:

Answer:

25.50x + 5.50y = 73.00

Step-by-step explanation:

Pick a variable for x and y (x is pants and y is T-shirt)

Since she buys pants and T-shirts you add the two values

Since she spent $73 you make it equal to 73

Can you solve the equation 3/4(6x+9)=14 by using the Division Property of Equality? Explain.

Answers

Division property of equality is dividing both sides of an equation by non zero number.  So the answer is No.
Ex: 5p = 15
p = 3
5 x 3 = 15
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