The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
abs(5*15+2*(-21)-4)/sqrt(5*5+2*2)
= abs(75-42-4)/sqrt(25+4)
= 29/sqrt(29)
= sqrt(29)
= 5.385165 (approximately)
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
The amount of quarts of water to fill the jar is 10.6875 quarts
To solve this problem effectively, we need to understand the concept of word problems.
<h3>What are word problems in mathematics?</h3>
Word problems in mathematics are questions that require a crucial understanding and application of mathematical principles to solve them effectively.
From the parameters given:
- If 114 ounces of water is poured three times to fill the jar
Then, the total amount of ounces that fills the water is:
= 114 ounces × 3
= 342 ounces
From the dimensional analysis of measurements:
1 ounce = 0.03125 quarts
Thus, in quarts, 342 ounces will be:
= 10.6875 quarts
Learn more about word problems in mathematics here:
brainly.com/question/21405634
Answer:
8.4 is the average of all of the scores.
Step-by-step explanation:
Add all of the scores together, and then divide by the number of scores to get the answer. Btw, BNHA is the best lol. Hope this helps! :)
