Answers
Distance Formula:
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13
Answer:
The length of line segment is 13 units
Step-by-step explanation:
Given the line segment AB.
we have to find the length of line segment.
The coordinates of A and B are (0, 12) and (5, 0) respectively.
By distance formula,
[tex]\text{The distance between the points }A(x_1,y_1)\text{ and } B(x_2, y_2)[/tex]
[tex]AB=\sqrt{(x_2-x_1)^2+y_2-y_1)^2}[/tex]
[tex]AB=\sqrt{(5-0)^2+(0-12)^2}[/tex]
[tex]AB=\sqrt{25+144}=\sqrt{169}=13 units[/tex]
Hence, the length of line segment is 13 units.
Related Questions
What is probability of rolling a prime number cube with sides labeled 1-6
Answers
Final answer:
The probability of rolling a prime number on a six-sided die is 1/2 or 50%, since there are three prime numbers (2, 3, 5) out of six possible outcomes.
Explanation:
The probability of rolling a prime number on a six-sided cube labeled with the numbers 1 through 6 can be determined by identifying which numbers on the cube are prime. Prime numbers are numbers that are only divisible by 1 and themselves. On a six-sided die, the prime numbers are 2, 3, and 5.
Since there are 6 faces on the die, the total number of possible outcomes when you roll it once is 6. The event of rolling a prime number includes three outcomes: rolling a 2, rolling a 3, or rolling a 5. So, the probability, P, of rolling a prime number is determined by dividing the number of favorable outcomes (rolling a 2, 3, or 5) by the total number of possible outcomes.
The calculation for the probability is therefore P(Prime) = Number of prime faces / Total number of faces = 3/6. This simplifies to 1/2, which means that the probability of rolling a prime number is 1/2, or 50%.
We can conclude that if you roll the die only a few times, the law of large numbers may not hold, and the experimental probability may not closely align with the theoretical probability of 1/2, but over many rolls, it would generally converge to this value.
Which is an equation of a circle with center (−10, 6) and radius 8?
Answers
Need help with number 11 please, thanks.
Answers
35/10 = x/1 Divide 10 on both sides.
3.5/1
So, Dante runs 3.5 miles each day.
The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner? The first one with a good answer will be count as the brainlist. Please help
Answers
Final answer:
To find the area of the banner with a given perimeter of 72 inches and a width that is 1/3 its length, we first determine the length to be 27 inches and the width to be 9 inches, leading to an area of 243 square inches.
Explanation:
To solve the problem, let's denote the length of the rectangular banner as L inches and the width as W inches. We're given that the perimeter is 72 inches and that the width is 1/3 its length, hence W = 1/3 * L. The formula for the perimeter of a rectangle is 2L + 2W = 72.
Substituting the value of W in terms of L into the perimeter equation gives 2L + 2(1/3 * L) = 72. Simplifying this equation: 2L + 2/3L = 72, or (6/3)L + (2/3)L = 72, which simplifies to (8/3)L = 72. By solving this equation, we find that L = 27 inches. Therefore, W = 1/3 * 27 = 9 inches.
Finally, the area of the rectangle, which is Length × Width, can now be calculated as 27 inches × 9 inches = 243 square inches.
Exponential form please of (9x10x10)(9x100)
Answers
[tex] {9}^{2} [/tex]
HOPE THIS IS RIGHT!!
HOPE THIS HELPS!!!
In a bag of marbles, 12% were red, 14% were blue, and the rest were white. If the bag has 250 marbles, how many were red or blue
Answers
We've been given enough information to solve this question! We know that there are a total of 250 marbles in the bag, and that 12% are blue and 14% are red, and the rest are white.
To calculate how many marbles are red and blue, we must first convert the percentages to decimals by dividing them by 100, and then we'll multiply the decimals by 250 marbles.
I know, that's probably a lot to take in! :D
12% ÷ 100 = 0.12
0.12 × 250 = 30
This means that 30 marbles were red.
14% ÷ 100 = 0.14
0.14 × 250 = 35
This means that 35 marbles were blue.
Final Answer:
30 marbles were red, 35 marbles were blue, and the rest were white.
Good Day!
Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities, where x represents the number of spoonfuls of brand A that Steve takes and y represents the number of spoonfuls of brand B that Steve takes? Select all the correct answers.
Answers
we have that
x----------------> represents the number of spoonfuls of brand A
y----------------> represents the number of spoonfuls of brand B
Brand A---------------- > Calcium. Iron Vitamins ------ > 5 4 7 milligrams
Brand B---------------- > Calcium. Iron Vitamins ------ > 4 6 4 milligrams
Steve needs to take at least
Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16
I proceed to calculate the system inequalities
for Calcium
5x+4y>=24
for iron
4x+6y>=15
for Vitamins
7x+4y>=16
using a graph tool to solve the system of inequalities
see the attached figure
the answer is the point (1,5) and the point (4,1) are solution
In parallelogram ABCD, m∠A = 24°. What are the measures of angles B, C, and D? Justify. please help
Answers
therefore, another angle is also 24°and the other two are 360-24*2=312. 312/2=156
four angles are 24,24,156,156
a+b+c+d=360°
The opposite angles in the parallelogram are congruent.
a=c
b=d
So if a=24°... and we know a=c, then c=24°.
a=24
c=24
b=?
d=?
a+b+c+d=360°
plug in the data we know
24+b+24+d=360
48+b+d=360
b+d=312
If b+d=312, and we know that they are congruent, then to find their values just divide 312 by 2
312/2=156°
b=156°
d=156°
Volume of Composite Shapes, i need help again
Answers
V=(3)(2²)(8)
V=96
V=(πr²h)/3
V=(3)(2²)(3)/3
V=12
V=96+12
V=108
What’s the surface area of this tent? Show all work and write your answer below.
Answers
There are 2 of them so area = 2*24 = 48.square feet.
There is 1 floor which has an area of 4*6 = 24 square feet
The area of one of hte triangles is 1/2 4 *3.46 = 6.92
Again, there are 2 of them so the total area for the triangles is 13.84
The total area is 48 + 24 + 13.84 = 85.84 square feet.
What is the solution set?
1/2x−6.5>12
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
your answer is x>37
Please show the work thank you
Answers
.. P₂ = P₁V₁/V₂ . . . . . . . selection C
Choose two or more answers that apply.
The figure is created by hollowing a cone shape out of a cylinder. Select all of the statements that are true about this figure.
A. The exact volume is 432π ft3.
B. The volume of the cylinder is twice the volume of the cone.
C. The approximate volume is 1356 ft3.
D. The volume of the cone is three times the volume of the cylinder.
E. The volume of the figure is 2/3 the volume of the cylinder.
Answers
volume
so v=bh
solve the equation for x 6x + 1 - 4x = 2+ x + 4
Answers
6x - 4x + 1 = 2 + x + 4
2x + 1 = x + 6
subtract x from both sides to move x to one side
2x (-x) + 1 = x (-x) + 6
x + 1 = 6
subtract 1 from both sides to isolate the x
x + 1 (-1) = 6 (-1)
x = 6 - 1
x = 5
5 is your answer for x
hope this helps
What is 136 sq km divided by 8 km?
Answers
Answer:
[tex]136 \: {km}^{2} \div 8 \: km = 17 \: km[/tex]
For the figures shown, HJKL ~ QRST . The scale factor applied to HJKL to create QRST is 8 to 7. What is RS? A. 74 B. 72 C. 64 D. 49
Answers
The length of RS is 64 units. Therefore, the correct answer is C. 64.
Since HJKL is similar to QRST, corresponding sides of the two figures are proportional.
Given that the scale factor applied to HJKL to create QRST is 8 to 7, this means that the ratio of corresponding sides of HJKL to QRST is 8:7.
Let's denote the length of RS as x.
According to the scale factor, the ratio of corresponding sides RS and HJ is 8:7. So, we can set up the following proportion:
[tex]\[\frac{RS}{HJ} = \frac{8}{7}\][/tex]
Given that HJ is 56 units (since 8 times the length of HJ), we can solve for RS:
[tex]\[x = \frac{8}{7} \times 56\][/tex]
[tex]\[x = \frac{448}{7}\][/tex]
[tex]\[x = 64\][/tex]
Therefore, RS is 64 units.
So, the correct answer is C. 64.
Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answers
The vertex of parabola is [tex]( \frac{-b}{2a},f( \frac{-b}{2a})) [/tex]
Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,
[tex] \frac{-b}{2a}= \frac{0}{-24} =0 [/tex]
And,
[tex]f( \frac{-b}{2a} )=f(0) = -12(0)+7=7[/tex]
Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.
[tex]f(1)=-12( 1^{2}) +7=-12+7=-5[/tex]
So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.
Visiting team: 20% of supporting visiting team
Home team: 80% of supporting home team
If the total number of people attending the game was 64,000, how many people were supporters of the home team?
A.)12,800
B.)38,400
C.)48,000
D.)51,200
Answers
Answer: D.)51,200
Step-by-step explanation:
Hi, to answer this question we have to multiply the number of attendants (64,000) by the percentage amount of supporting home team (80/100)
64,000 x (80/100) = 51,200
51,200 people were supporters of the home team.
The correct option is D).
Feel free to ask for more if needed or if you did not understand something.
Work the following pricing problems for services rendered. (For all calculations use hundredths.) Labor time = 6 1/2 hours Overhead rate = 55% Retail price of parts = $114.70 Total cost of job = $231.08 What is hourly rate for labor? 11.55 27.75 32.55 137.64
Answers
Labor time= 6 1/2 = 6.5 hours
Overhead=55%
Retail price of parts=$114.70
Find the total cost of labor.
Total cost of labor= 231.08 - 114.70=$116.38
Now labor rate per hour ( with overhead)= 116.38 /6.5 =$17.90 per hour.
Now labor rate (without overhead) = 17.90/(1+55%) = 17.90/1.55 =$11.55
Answer: $11.55
Answer:
11.55
Step-by-step explanation:
if an office is 120 sq ft what is the measurement in square meters
Answers
Answer:
We have to convert the measurement in square meters. Therefore 120 sq. feet = 120×0.093 = 11.148 sq. meters.
Help on both 5 and 6 please.
Answers
<-6,5> and <6,-5>
=<(-6+6),(5-5)>
=<0,0>
the resultant vector is <0,0>
6] The value of x will be found as follows
tan θ=(opposite)/(adjacent)
θ=20°
hence:
tan 20=x/15
x=15tan20
x=5.4595~5.5 yd
To get the resultant of two vectors we add the two vectors given.
In this case, <-6,5> and <6,-5>
Therefore, <(-6+6), (5+-5)>
= <0,0>
Question 6
The appropriate trigonometric ratio to use in the question is tan
Tan θ = opposite/ adjacent
θ is 70 degrees ( 90-20)
Opposite is 15 yd
Adjacent is x
Therefore;
Tan 70 = 15/x
x = 15/tan 70
x = 5.45955
≈ 5.5 yd
Thus, the value of x (nearest tenth) is 5.5 yd
What is a pair of fractions as a pair of fractions with a common denominator of 1/3 and 3/4
Answers
In a study, researchers found that for every 3 people who preferred brand A toothpaste 1 person preferred brand B toothpaste. Which ratio describes the results of the study?
A. 1:3
B. 1:4
C. 3:1
D. 4:1
Answers
C. 3:1
Because it’s three to one
a baseball coach uses a pitching machine to simulate pop flies during practice. the quadratic function f(x)=-16x^2+70x+10 models the height in feet of a baseball after x seconds. how long is the baseball in the air if the ball is not caught?
Answers
Using the quadratic equation f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height of the baseball, we apply the quadratic formula to find that the ball is in the air for approximately 4.438 seconds before it lands back on the ground if not caught.
Explanation:The student asks how long a baseball remains in the air during practice using a quadratic equation that models the height of the baseball after a certain number of seconds. The equation provided is f(x) = -16[tex]x^2[/tex] + 70x + 10, which models the height in feet of the baseball after x seconds. To determine the time the baseball is in the air, we need to find when the ball returns to the ground level (when f(x) = 0).
We can solve this quadratic equation using the quadratic formula: x = (-b ± [tex]\sqrt{(b^2 - 4ac)) / (2a)}[/tex], where a is -16, b is 70, and c is 10. Plugging in these values, we get two solutions for t (time), and we choose the positive time value at which the height becomes zero again, indicating that the ball has landed back on the ground.
The use of the quadratic formula yields t = 4.438 seconds and t = -0.138 seconds. We discard the negative time value as it is not physically relevant to the problem, and thus the baseball is in the air for approximately 4.438 seconds before it lands back on the ground if it's not caught.
If the multiplication expression below were written in exponential form, what would be the exponent be? 24*24*24*24*24
Answers
Which symbol makes the number sentence true?
5 + (20 _?_ 4) = 10
A) +
B) -
C) x
D) ÷
Answers
its d so i really hope this help
5g of margarine contains 3.6g of fat.
How many grams of fat are there in 92g of Margarine?
Answers
Find the unit rate.
3.6/5= 0.72
Multiply that by 92.
0.72*92= 66.24
There are 66.24 grams of fat in 92g of Margarine.
I hope this helps!
~kaikers
We can use the concept of ratios
5g of margarine : 3.6g fats
92g of margarine : ?
We can cross multiply, which is an easier solution
Let us use the variable p to represent the grams of fats to be found
5 x p = 3.6 x 92
5p = 331.2
We, now, can divide by 5 on either sides so we can isolate and find the value of p
[tex] \frac{5p}{5} = \frac{331.2}{5} [/tex]
5 and 5 cancels out
p = 66.24
So, 92g of margarine will contain 66.24g of fats
pls help show steps pls
Answers
2nd equation: x + y = 1.5 r
3rd equation: rewrite 2nd equation as : x =1.5-y)
replace x in first equation with 3rd equation:
5(1.5-y) + 60y = 35
now solve for y:
7.5 - 5y + 60y = 35
7.5 + 55y = 35
55y = 27.5
y = 27.5 / 55 = 0.5
now replace Y with 0.5 in the 2nd equation and solve for x
x +0.5 = 1.5
x = 1.5-0.5
x = 1
5x = 5(1) = 5 miles walked
X + Y = 1.5
Ok so this is known as a system of equations. The x variable in the first equation is the same as the x in the second equation, as is the y.
So in order to solve this, let's solve for one of the variables in the second equation. It doesn't matter which so lets just pick the variable y.
So
X + Y = 1.5
Subtract X from both sides
Y = -X + 1.5
Voila! You have a variable for y. Now you can substitute you value of y into the other equation.
5X + 60(-X + 1.5) = 35
Now do you see how we only have one variable to solve for in the equation? Solve this equation and you have the value of x.
5X - 60X + 90 = 35
-55X = -55
X = 1
Hah! We have a value for X! But what is the value of y? In ordering to find the value of y you need to take a previous equation and substitute the value that we found for x into the equation. Let's take the easiest equation shall we?
X + Y = 1.5
X = 1
1 + Y = 1.5
Y = 0.5
And there we are! The values we were in search of across the dry deserts and cold, salty waters. Eww salty water. What was I talking about? Sorry I'm ADHD.
X = 1
Y = 0.5
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π .
Enter your answer as a decimal in the box.
__ cm
Answers
2+20+2+(20-11)+[(11*2*3,14)/4]+11= 61,27
if This figure consists of a rectangle and a quarter circle, we have to consider the amount of :
the perimeter of rectangle - the dashed part, in which the quarter circle is inserted (2+20+2+20-11)
+ the quarter circle = perimeter of circle / 4 = 2r π/4 (2*11*3,14)/4
+ the circles radius = 11
Answer:
61.27
Step-by-step explanation:
Kim paycheck was $257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck
Answers
Let's divide Kim's paycheck by 4 to calculate how much she put in her savings account, and then subtract that from the paycheck.
257.20 ÷ 4 = 64.30
257.20 - 64.30 = 192.9
Now, divide this by 3 and then subtract the money she used to pay her bills to find how much money Kim has left.
192.9 ÷ 3 = 64.30
192.9 - 64.30 = 128.6
A N S W E R:
Kim has $128.60 remaining from her paycheck.