which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)
Answers
Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
Related Questions
It costs $20.50 to enter an amusement park and $0.25 to ride a ride. You have $21.50. Write an equation that represents the number r of rides you can ride.
Answers
Answer:
4 rides
Step-by-step explanation:
Total amount = $21.50
Entry charge = $20.50
Amount left = $21.50 - 20.50 = $1
Number of rides
[tex]r = \frac{1}{0.25} = \frac{100}{25} = 4 \\ [/tex]
Another way:
[tex] 0.25\:r + 20.50 = 21.50\\
0.25\:r = 21.50 - 20.50\\
0.25\:r = 1\\
r = \frac{1}{0.25}\\
r = \frac{100}{25}\\
r = 4\\[/tex]
Ryan drove 180 miles in 5 hours. If he continued at the same rate, how far would he travel in 7 hours?
Answers
Answer:
252 Miles
Step-by-step explanation:
180 divided by 5 = 36
36 x 7= 252 miles
You divide 180 by 5 to get 36 miles per hour
Then you times 36 by 7 to get 252
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-5x + 3y = 13
7x + 2y = -12
Answers
Answer:
x = -2, y = 1
Step-by-step explanation:
So you can solve this equation using subtraction.
Multiply the first equation by 2:
-10x + 6y = 26
Multiply the second equation by 3:
21x + 6y = -36
Subtract the two equations:
-31x = 62
x = -2
y = 1
Question in attachment
Answers
Answer:
y = 3/4 x + 25/4
Step-by-step explanation:
just tried the numbers out with desmos (free online software
the 3/4 where guessedby intuition
(would indeed appreciate the brainliest if you appreciate the work)
Solve for x, -3x + 8 < 23
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
-3x + 8 < 23
- 8 on both sides
-3x < 15
/ -3 on both sides
x > -5
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Answer:
It is x > -5
Step-by-step explanation:
Equation: -3x + 8 < 23
First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.
Now we simplify: 23 - 8 becomes 15
New equation: -3x < 15
Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.
[tex]\frac{-3x}{-3}[/tex]<[tex]\frac{15}{-3}[/tex] = x > -5
The formula for period is 2pie/b use the value of the period, 2.244, to solve for the value of b, rounded to the nearest tenth:
B= ?
Answers
Answer:
2.8
Step-by-step explanation:
2.244=2π/b
2.244b=2π
2.244b/2.244=2π/2.244
(π=22/7)
b=2.8
howdy!!
the answer is below :)
If your car gets 22 miles per gallon, how much does it cost to drive 360 miles when gasoline costs $2.80 per gallon?
Answers
22\360=?•2.80
22/360=16.3
2.80 • 16.3 = 45.6$
So it would cost 45.6$ to drive 360 miles
Answer:
45.6
Step-by-step explanation:
the way you find this would be
22/360 = 16.32.80 x 16.3 = 45.64But to get 45.6 you would have to round this answer to the nearest tenth 45.64 rounded to the nearest tenth would be 45.6Therefore your answer would be $45.6 per gallonThe sum of two positive integers is 12. When the smaller integer is subtracted from five times the larger, the result is 36. Find the two integers.
Answers
Answer:
The smaller integer is 4 and larger integer is 8 .
Step-by-step explanation:
First we have to form own variables and expression. So we let the smaller integer be x and the larger integer be y. Next using the information given to form expressions :
[tex]x + y = 12 \\ 5y - x = 36[/tex]
Lastly, we can solve the simultaneous equation using Elimination :
[tex]x + y = 12 - - - (1)[/tex]
[tex] - x + 5y = 36 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]x + ( - x) + y + 5y = 12 + 36[/tex]
[tex]6y = 48[/tex]
[tex]y = 8[/tex]
[tex]sub \: y = 8 \: into \: (1)[/tex]
[tex]x + 8 = 12[/tex]
[tex]x = 4[/tex]
Pls HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!! :))
Answers
Answer:
the fourth one
Answer: 4
Step-by-step explanation:
The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters.
A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31.
Which statement is true about the box plots? Select three options.
Both box plots show the same range.
Both box plots show the same interquartile range.
The data for Mr. Ishimoto has an outlier.
Mr. Ishimoto had the class with the greatest number of students.
The smallest class size was 24 students.
Answers
Answer:
B, D, E
Step-by-step explanation:
i just took test
The statements that are true about both box plots are:
B. Both box plots show the same interquartile range.
D. Mr. Ishimoto had the class with the greatest number of students.
E. The smallest class size was 24 students.
What is a Box Plot?A box plot is a graphical representation of the five-number summary of a data distribution, which displays the minimum value, maximum value, lower and upper quartiles, and median value.
From the box plots described, the following are the five-number summary of the data distribution for Mrs. Ishimoto's Class:
Min.: 28Lower Quartile: 31Median: 33Upper Quartile: 35Max.: 40IQR = Q3 - Q1 = 35 - 31 = 4Five-number summary of the data distribution for Mr. Castillo's class:
Min.: 24Lower Quartile: 30Median: 34Upper Quartile: 34Max.: 38IQR = 34 - 30 = 4Therefore, the statements that are true about both box plots are:
B. Both box plots show the same interquartile range.
D. Mr. Ishimoto had the class with the greatest number of students.
E. The smallest class size was 24 students.
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What is the theoretical probability of spinning green on the spinner below?
1/12
1/8
1/3
1/4
Answers
Answer:
there are 12 sections in total and 3 green sections
3 wanted sections /12 total sections = 1/4 chance to get green
hope this helps
Step-by-step explanation:
Probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .
What is probability?" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Total number of spinning colour in a spinner = 12
Number of green spinner = 3
Substitute the value in the formula to get the probability we get,
Probability of spinning green = [tex]\frac{3}{12}[/tex]
= [tex]\frac{1}{4}[/tex]
Hence, probability of spinning green on the spinner is equals to [tex]\frac{1}{4}[/tex] .
Learn more about probability here
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"Suppose that 5% of bags contain forbidden items."
Forbidden
0.05
Not forbidden
What is the probability that a randomly chosen bag does NOT contain a
forbidden item?
P(not forbidden) =
Answers
Answer:
.95 is the correct answer. See screenshot below
Step-by-step explanation:
The probability that a randomly chosen bag does NOT contain a forbidden item is 0.95
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, 5% of bags contain forbidden items.
We know that, the probability of an event not happening is 1 minus the probability of the event happening,
Therefore, the probability that a randomly chosen bag does NOT contain a forbidden item = 1-0.05 = 0.95
Hence, the probability that a randomly chosen bag does NOT contain a forbidden item is 0.95
Learn more about probability, click;
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What are the numerical measures of each angle in the diagram?
Answers
X is 10 so both angles are 29. This means that the other angles are 151 because the whole thing must add up to 360.
Help
Will mark as brainliest
Answers
Step-by-step explanation:
multiply it
power in multiplication added
4x⁵z⁸
Answer:
4x^3z^2. you bring out the number then factor out the algebra then multiply the remaining algebra with the number
Due in 3 mins please help!!!
Answers
Answer:
a=100 sq. cm.
Step-by-step explanation:
a= l×w
a=10×10
a=100
100 points! Will give brainliest!
Which of the following systems of inequalities has point D as a solution?
f(x) ≤ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
f(x) ≤ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
Answers
Answer:
B) f(x) ≥ 3x + 4
g of x is less than or equal to negative one half times x minus 5
Step-by-step explanation:
From the above graph,
If point B is the solution of the system of inequalities, then point B must satisfies both inequalities
We can see from the graph that
Point B is located above (≥) the boundary line for f(x) and is also below (≤) the boundary line for g(x).
So we can say,
Point b satisfies the inequalities
Therefore,
The system is
f(x) ≥ (3x+4)
g(x) ≤ (-1/2x -5)
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Giving brainliest for correct answer
A 17-foot ladder is leaning on a tree. The bottom of the ladder on on the ground at a distance of 8 feet from the base of the tree. The base of the tree and the ground form a right angle as shown.
[ not drawn to scale ]
What is the distance, in feet, between the ground and the top of the ladder?
Answers
Answer:
15 feet
Step-by-step explanation:
Since, it's a right triangle, we will use the Pythagorean theorem formula:
[tex]a^2+b^2=c^2[/tex]
a and b are the straight sides and c is the ladder (hypotenuse).
[tex](8)^2+b^2=(17)^2[/tex]
Solve for [tex]x[/tex]:
[tex]64+b^2=289[/tex]
[tex]b^2=225[/tex]
[tex]\sqrt{b^2} =\sqrt{225}[/tex]
[tex]b=15[/tex]
The distance between the ground and the top of the ladder is 25 feet.
what is Pythagoras Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
Hypotenuse= 17 foot
Base = 8 feet
Now, using pythagoras theorem
H² = P² + B²
17² = P² + 8²
289 - 64 = P²
P= √225
P= 25 foot
Hence, the distance between the ground and the top of the ladder is 25 feet.
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Help me I’m. It big brain
Answers
Answer:
A 35
Step-by-step explanation:
75-40=35
The right answer is 35.
look at the attached picture
Hope it will help you
Good luck on your assignment
12700 = 23400 x (1-11.5/100)n
A new car is purchased for 23400 dollars. The value of the car depreciates at 11.5% per year. To the nearest year, how long will it be until the value of the car is 12700 dollars?
Answers
Answer:
Step-by-step explanation:
889
YALLL I NEED HELP !!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2nd one
Step-by-step explanation:
it was 0⁰F at 6 pm to -4⁰F at 11pm to you go to the left 4 times from 0⁰F and between 11pm and 5am the temperature dropped by 6 degrees so you go the the right 6 times from -4 which is 2⁰F so the 2nd one represents the temperature at 5am Hope it helped
Please help I will give you brainiest
Answers
Answer:
Step-by-step explanation:
from left to right
1. 2400+280=2680
second row
2.540+63=603
third row
2940+343 =3283
top to bottom last row
2680
+
603
=3283
=
Solve and write in simplest form, 4/6 x 6/8
Answers
Answer:
1/2
Step-by-step explanation:
4x6=24
6x8=48
24/24=1
48/24=2
Therefore, it is 1/2
Find the quotient. Simplify your answer.
7y/6 divides by z/-2
Answers
Answer:
-7y/3z
Step-by-step explanation:
When dividing fractions, we flip the second one so that we can multiply the 2 fractions. When we do this, we get 7y/6 * -2/z. When we multiply the numerators and denominators, we get -14y/6z. Simplifying (dividing the numerator and denominator by 2), we get -7y/3z.
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
more than one
none
one
Answers
Answer:
One
Step-by-step explanation:
This is because 1 triangle's interior angles add up to 180
And 110+50+20=180
Therefore only one triangle can be constructed
Graph y=−83x+9.
Identify the x-intercept.
Answers
Answer:
x-intercept=-74
Step-by-step explanation:
for x-intercept (y=0)
y=83x+9
0=83x+9
-83x=-0+9
-83x=9
x=9/-83
x=-0.1
Answer:
x = -27/8
Step-by-step explanation:
y = [tex]\frac{8}{3} x + 9[/tex]
to find x intercept let y = 0 then solve for x
0 = [tex]\frac{8}{3} x + 9[/tex]
-9 = [tex]\frac{8}{3} x[/tex]
divide both sides by 3
-9x3 = 8x
-27 = 8x
8x = -27
x = -27/8
ASAP!! I JUST NEED THE ANSWER!!! I WILL MARK YOU BRAINLIEST!!!
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left.
a) How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?
Answers
Answer:
250g
Step-by-step explanation:
To calculate the original weight, you just have to find how much was left of the hamburger after the second bite.
Say that the hamburger is x grams.
0.64x = 160
x = 250
I feel sorta bad but, I got pretty much the same answer...
Answer:
250g
Step-by-step explanation:
To calculate the original weight, you have to find how much was left of the hamburger after the second bite.
Say that the hamburger is x grams.
0.64x = 160
x = 250
Write down all the factors of 24
Answers
Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
Which of the following shows 21/35 as a simplified fraction?
A. 1/5
B. 2/3
C. 3/5
D. 1/3
Answers
The right answer is 3/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
3/5
Step-by-step explanation:
divide by 7/7 and u get 3/5
What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?
Answers
Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute (1, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = 3x - 5 ← equation of line
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram
to determine the measurement of <EAF.
Solution:
Answers
Answer:
x and EAF are 27 degrees
Step-by-step explanation:
Since GAF is a right angle as indicated by the little square, GAC and CAF must add up to 90 degrees. Therefore, x is 90-63=27 degrees. The situation is the same for angle EAF. Hope this helps!