The distance from a to b if the units of the coordinated system are meters is 10m.
What is a line segment?A line that has two endpoints and a fixed measurement is called a line segment.
It is given that point a is located at coordinates (5, 3) and point b is located at coordinates (-3, 9)
D = √[(x-p)² + (y-q)²]
Substituting the points we get;
D = √[(-3 - 5)² + (9 - 3)²]
D = √[(-8)² + (6)²]
D = √[(64) + (36)]
D = √100
D = 10
Hence, the distance from a to b if the units of the coordinated system are meters is 10 m.
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Final answer:
The distance between point A (5, 3) and point B (-3, 9) is calculated using the distance formula, resulting in a distance of 10 meters.
Explanation:
The question is asking for the distance between two points in a coordinate system. To find the distance between point A (5, 3) and point B (-3, 9), we can use the distance formula which is derived from Pythagorean theorem. The distance d between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)² + (y2 - y1)²)
For point A and point B, we substitute the coordinates into the formula:
d = √((-3 - 5)² + (9 - 3)²)
= √(64 + 36)
= √100
= 10 meters
Therefore, the distance from A to B is 10 meters.
how to write 412.638 using fractions
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources. How many milligrams of potassium should you consume daily?
80 percent of needed milligrams is 1360
so
1360/.80 = x/1
1700 milligrams or 1,700 milligrams of potassium
write the number in expanded form 259,341
Grass can grow up to 6 inches in a week depending on temperature humidity and time of year at this rate how tall grass grow in 24 days
PLEASE ANSWER IVE BEEN WAITING FOR AN HOUR
Rachel earned 34 in 4 hours at her job today she wants to know how much she could earn (e) tommorow if she works 10 hours at the same hourly rate
A. E/34 = 4/10
B. 34/4 = E/10
Solve the proportion to determine how much Rachel will earn in 10 hours.
Jordan is chopping wood for the winter. For 10 days in a row, he follows the same process: In the morning, he chops 20 pieces of wood, and in the evening, he chops an additional 30 pieces of wood. On the 11 day, Jordan chops only 5 pieces of wood. Write a numerical expression with parentheses for the total number of pieces of wood Jordan chopped. Do not simplify your expression.
i would write this:
total = 10(20+30) +5
Write a linear equation that models the cost y of one person going on x rides at the fair. Graph the equation. Admission is $12 and rides are a $1 each. Please help
Subtract using the number line. −4−(8)
Answer:
-12
Step-by-step explanation: I Took K12 TEST
Of the students at Milton Middle School, 99 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
A car is tracing at a rate of 72 kilometers per hour. What is the car rates in kilometers per min? How many kilometers will the car travel in 5 mins
In 5 minutes, the car will travel 6 kilometers.
To convert the car's speed from kilometers per hour to kilometers per minute, we need to divide the given rate by the number of minutes in an hour, which is 60. So, for a car traveling at 72 kilometers per hour, the rate in kilometers per minute is:
72 km/hr / 60 = 1.2 kilometers per minute.
Now, to calculate how many kilometers the car will travel in 5 minutes, we simply multiply the rate in kilometers per minute by the number of minutes:
1.2 km/min * 5 min = 6 kilometers.
Therefore, the car will travel 6 kilometers in 5 minutes at the rate of 72 kilometers per hour.
Using the following production tally, determine how many total mousetraps were produced during a shift:
Quantity per package: 60
Number of packages you sealed: 41
Starting quantity in first package (from previous shift): 52
Ending quantity in your last unsealed package (leave for next shift): 24
Rejected mousetraps: 34
what is the answer to 2(6b + 8) = 4 + 6b
Write the contrapositive of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.
What is the equation for the linear model in the scatter plot obtained by choosing the two points to the closest line?
y=-1.5 X +6
yEquals 1.5 X +6
The equation for the linear model in a scatter plot can be determined by selecting any two points closer to the line and utilizing them to find its slope and y-intercept. This information is then used to write the equation y = mx + b, where m is the slope and b is the y-intercept.
Explanation:The question pertains to the equation of the linear model in a scatter plot which basically describes the best fit line passing through the points on the plot. In simple terms, in a scatter plot if you choose any two points closer to the line, we can use these to determine the equation of that line.
Suppose you have two points (x1, y1) and (x2, y2), where x represents the independent variable and y is the dependent variable. To find the slope (m) of the line, we use the formula: m = (y2 - y1) / (x2 - x1). Once the slope is determined, we proceed to find the y-intercept (b), which is the y-value where the line crosses the y-axis.
The general form of a linear equation is y = mx + b. Hence, using the values of slope and y-intecept obtained earlier, we can write the equation of our line. For example, in the equations given in the question, -1.5 and 1.5 are the slopes and 6 is the y-intercept.
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How to do you simplify
1/5(40x^5+13x^3-3x-5)-(3x^5-5x^3+5x)
Jordan has 260 basketball cards. He divides them into 4 equal groups. How many cards are in each group?
Jordan has 260 basketball cards and divides them evenly into 4 groups, resulting in 65 cards per group.
Jordan has 260 basketball cards and wants to divide them into 4 equal groups. To find the number of cards in each group, we need to perform a simple division. By dividing 260 by 4, we get:
Divide 260 by 4.
260 \/ 4 = 65.
Each group will have 65 cards.
Therefore, Jordan will have 65 basketball cards in each of the four groups.
If the probability of Stephan Curry missing a free throw is 6%, what are the odds of him hitting the next free throw?
Answer:
47 : 3
Step-by-step explanation:
Odds of hitting are the ratio of hits to misses:
94 : 6, or 47 : 3.
The Murphys are on vacation and want to go on a helicopter tour. The tour itself costs $125 per person and they also have to pay a fuel fee of $50. If there are four people in the family, how much will the tour cost them?
The answer is, indeed, $550.
Help me asap! I will mark you brainly and a heart tysm!
:D
Solve: 2(4x - 6) = 6x - 4
A) 4
B) 8
C) -4
D) no solution
Dane is 10 times Brian's age. The difference in their age is 27, how old is Brian
Answer:
Brain is 3 years old.
Step-by-step explanation:
Let B represent Brain's age and D represent Dane's age.
We have been given that Dane is 10 times Brian's age. We can represent this information in an equation as:
[tex]D=10B...(1)[/tex]
We are also told that the difference in their age is 27. We can represent this information in an equation as:
[tex]D-B=27...(2)[/tex]
Upon substituting equation (1) i equation (2), we will get:
[tex]10B-B=27[/tex]
[tex]9B=27[/tex]
[tex]\frac{9B}{9}=\frac{27}{9}[/tex]
[tex]B=3[/tex]
Therefore, Brain is 3 years old.
If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long, what is the average shoulder width, in feet, of the people in the line?
Given a line of one billion people extending for 346,439 miles, the average shoulder width of a person in the line is approximately 1.83 feet.
Explanation:To find the average shoulder width of the people in the line, we need to convert the total miles into feet, since the result wanted is in feet. There are 5,280 feet in one mile. So the total length in feet would be 346,439 miles * 5,280 feet/mile = 1,829,029,920 feet. Now, if there are 1 billion people in this line, then the average width of a person's shoulders would be the total length divided by the total number of people. Hence, the average shoulder width = 1,829,029,920 feet / 1,000,000,000 people = approximately 1.83 feet.
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Colin took out a loan with a principal of $32,800. After five years, the interest and principal totaled $48,872. If Colin made monthly payments of $816 for five years until the loan was paid off, how much did Colin pay in service charges? a. $16,072 b. $88 c. $16,160 d. $163
The service charges would be, $88
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Colin took out a loan with a principal of $32,800.
And, After five years, the interest and principal totaled $48,872.
Now,
The value of principal amount is,
⇒ 816 × 5 × 12 = 48960
Now, We get;
Amount of Colin pay in service charges is,
48960 - 48872= 88
Hence, The service charges were $88
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A company wants to decrease their energy use by 15%. If their electric bill is currently $1300 a month, what will their bill be if they are successful?
the fully shaded grid shows 1. EXPLAIN how these three models are related
If 9/10 yard of material is needed to make a blanket, how many blankets can be made from 27 yards of material
I need help with #6 plzzzz
Rewrite the following statement using a number in scientific notation.
The diameter of a certain bacterium is about
0.00000002
0.00000002 meters.
Surface area of a cylinder with a diameter of 14 and height is 9
Simplify the expression
–5.6 + 8.2
Answers:
–2.6
–13.8
2.6
13.8