PLEASE HELP MEEE!!!!!!
Point J is located at (-2, -5) and Point K is located 5 units right and 9 units up Which measurement is closest to the distance between Point J and Point K?
A. 3.7 units
B. 7.5 units
C. 10.3 units
D. 12 units
Answers
Answer:
Step-by-step explanation:
d^2=(x2-x1)^2+(y2-y1)^2
Here we are told dx=5 and dy=9 so
d^2=25+81
d^2=106
d=10.3 units
This value is approximate. This also means that segment JK is roughly 10.3 units.
==============================================================
Explanation:
The "5 units right and 9 units up" means we have a right triangle with legs 5 and 9. The hypotenuse is unknown, which I'll call c.
a = 5b = 9c = unknownApply the pythagorean theorem. Solve for c.
a^2 + b^2 = c^2
5^2 + 9^2 = c^2
25 + 81 = c^2
106 = c^2
c^2 = 106
c = sqrt(106)
c = 10.2956301 approximately
c = 10.3 approximately
The distance from J to K is roughly 10.3 units
------------------------------------
A slightly different method:
Start at point J (-2, -5) and move 5 units to the right and 9 units up to arrive at K(3, 4)
Let's use the distance formula to find the distance from (-2,-5) to (3,4)
Define the following
(x1,y1) = (-2,-5) which means x1 = -2 and y1 = -5(x2,y2) = (3,4) which means x2 = 3 and y2 = 4Those values are then plugged into the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-3)^2 + (-5-4)^2}\\\\d = \sqrt{(-5)^2 + (-9)^2}\\\\d = \sqrt{25 + 81}\\\\d = \sqrt{106}\\\\d \approx 10.2956301\\\\d \approx 10.3\\\\[/tex]
The distance from J to K is roughly 10.3 units
One thing to point out, as you probably already noticed, is that the distance formula and pythagorean theorem effectively are saying the same thing when computing distances like this. The distance formula is based off the pythagorean theorem. Note the x1-x2 portion which represents the horizontal distance from J to K. This is the "move 5 units right" portion. Then the "y1-y2" is the vertical change in distance, which is the "move 9 units up". Also, we can see that the square root of 106 shows up again; a lot of elements are repeated (just phrased in a slightly different way) from the last section.
Related Questions
A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim?A. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly is the same.
B. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly may be the same.
C. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of women than men who watch television regularly.
D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
E. The researcher cannot draw a conclusion about a claim without performing a significance test.
Answers
Answer:
The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
Step-by-step explanation:
We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).
Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.
Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
Learn more about Statistics here:
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give simplest ratio for 68:34
Answers
Answer:
Thus, 2/1 is the simplified fraction for 68/34 by using the prime factorization method.
using algbera solve 80 divide 10
Answers
Answer:
8
Step-by-step explanation:
FIND THE AREA FOR BOTH SHAPES (LEAVE EXPLANATION)
Answers
Answer:
b - 100 cm²
c - 45.5 cm²
Step-by-step explanation:
Hello There!
For b - The following figure shown is a trapezoid with the dimensions
height = 10cm
longer base = 12cm
shorter base = 8cm
We can calculate the area of a trapezoid using this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{8+12}{2} 10\\8+12=20\\\frac{20}{2} =10\\10*10=100[/tex]
so we can conclude that the area of figure b is 100 cm²
for a
The figure shown is an irregular shape so to calculate the area we're going to want to divide the irregular shape into two regular shapes
a rectangle with the dimensions:
width = 7 cm
length = 8cm (total height of irregular figure) - 3cm (height of the triangle)
8cm-3cm=5cm so the length of the rectangle is 5cm
a triangle with the dimensions:
base (length) = 7cm
height = 3cm
Now lets find the area of each shape
for the rectangle:
the area of a rectangle can simply be found by multiplying the length and width
7 * 5 = 35 so the area of the rectangle is 35 cm²
for the triangle:
the area of a triangle can be found using this formula
[tex]A=\frac{1}{2} bh[/tex] where b = base and h = height
knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{1}{2} 3*7\\3*7=21\\\frac{21}{2} =10.5[/tex]
so we can conclude that the area of the triangle is 10.5 cm²
finally we add the two areas of the regular shapes
10.5 + 35 = 45.5 cm²
In conclusion the area of the figure is 45.5 cm²
A cylinder has a diameter if 10units its radius is blank units
A:2. B:5. C:10. D:20
If it's height is twice it's radius, it's height is blank units
A:2. B:5. C:10. D:20
Its volume is about blank cubic units
A:157. B:250. C:500. D:785
Answers
Answer:
[tex]1. \to B:5...\\ 2.. \to C:10.\\3. \to D:785[/tex]
y
Using the formula for the difference of squares, calculate: (100 - 3)
(100 + 3).
Answers
Answer:
97
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanations are below
Step 1
(100-3) Observe the equation
Step 2
(100-3) Simplify
100-(+3)
100-3
Answer: 97
11. The length of a rectangle is double its width, If its width is 15cm, What is its area. Show
your steps.
Answers
Answer:
450 cm squared
Step-by-step explanation:
W=15
L=2W =30
A= LxW
A= 15X30
A=450
Hurry I really need it I have a timer
Answers
Answer:
228 m^2
Step-by-step explanation:
I rly hope im not to late
base is 6x6=36
each side is 8x6=48
48x4=192
192+36=228
8) A box of 12 light bulbs fell
and some are broken. If there
are 4 broken bulbs:
a) What fraction of the
bulb is broken? Write
answer in its lowest
term.
Answers
Answer: 2/3
Step-by-step explanation:
12 lightbulbs and 4 are broken
12-4=8
8/12
/2
4/6
/2
2/3
Find the missing side round your answer to the nearest tenth
Answers
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21
Plug in calculator
(21)cos(19)=19.85
Round to the nearest tenth. Which means the 8 rounds up to 9.
Answer: 19.9
Evaluate the value of: √100/49x400
Answers
Answer:
This is your answer ☺️☺️☺️
E
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1
Write an equation in slope intercept form for the following graph.
--
1
Answers
Answer: (-4 ,4)
Step-by-step explanation:
How do you Solve 20/3=10/9x
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Answer:
200
Step-by-step explanation:
100✓9283+374+_+38_+_+_("#9#9_+
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
I WILL GIVE YOU BRAINLIEST!!!
An initial investment of $480 is appreciated for 7 years in an account that earns 15%
interest, compounded quarterly. Find the amount of money in the account at the end
of the period.
01) $ 1276.81
O2) $ 1345.58
3) $ 865.58
O4) $ 1296.94
Answers
The amount of money in the account at the end of the period would be $1345.58.
What is compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
Given is that an initial investment of $480 is appreciated for 7 years in an account that earns 15% interest, compounded quarterly.
We can write the compound interest as -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
A = 480(1 + 0.15/4)^(4 x 1)
A = 480 + 865.58
A = 1345.58
Therefore, the amount of money in the account at the end of the period would be $1345.58.
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A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for
Answers
Answer:
A ≈ 34.1 in²
Step-by-step explanation:
Using the formulas of area & circumference:
A = πr2
C = 2πr
Solving for A:
A = C2
4·π = 20.72
4·π = 34.09815 in²
4·π ≈ 34.1 in²
20.7=2*3.14*r
20.7=6.28r
20.7/6.28=6.28r/6.28
r=3.3
A=pir^2
A=3.14*3.3^2
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quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
Answers
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
What is 21/1 divided by 1/4
Answers
Answer:
84
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions
21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1
This can be written as 84
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Answer: a, 7ft
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
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The two lines graphed on the coordinate grid each represent an equation
Which ordered pair represents a solution to both equations?
(1,5)
(-5,1)
(5,1)
(-1,5)
Answers
Answer:
I think it would be (1,5)
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Answers
The slope is found from y2-y1/x2-x1
441-p²=(21)²-(17)²
maths algebra
Answers
Step-by-step explanation:
hope it will help you......
Answer:
p = 17
Step-by-step explanation:
→ Expand out (21)² - (17)²
21² = 441 and 17² = 289 therefore 441 - 289 = 152
→ Plug value back into equation
441 - p² = 152
→ Minus 441 from both sides
- p² = -289
→ Square root both sides
p = 17
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
d) A = π([tex]9^{2}[/tex])
Step-by-step explanation:
area = π [tex]r^{2}[/tex]
diameter = 18
radius (half of diameter) = 9
area = π [tex]9^{2}[/tex]
3x3 grid using 24cm wire. How much wire for 20x20 grid?
Answers
Answer:
840cm
Let Me Know If This Is Correct I Always Want To Improve!
Thanks :)
2(3x - 32y) + 3(-2x - 4y)
Answers
If the total cost of a $32 item is $33.60, what is the total cost on a $55 item?
Answers
Answer:
55.00
Step-by-step explanation:
Surface area of the rectangular prism is 52 square inches. What is the volume
Answers
Find the amplitude and the period of the graphed function; please show work or steps.
Answers
Answers:
Amplitude = 2Period = 5pi/2===========================================
Explanation:
The lowest point occurs when y = -2. The highest point occurs when y = 2.
The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.
The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.
-----------------------------
Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.
The horizontal distance from x = -pi to x = 3pi/2 is
(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2
This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.
Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.
5/8x7/6 as a fraction simplified
Answers
Step-by-step explanation:
5÷8
7 6
=5 ×6
7× 8
=30
56
= 30÷2
56÷2
=15
28
In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.
Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :
Answers
Answer:
b=15 g=25
Step-by-step explanation:
lets translate that story problem to mathematics equations
the problem told that no. of girls are 10 more than no of boys so this will =
g=b+10
then in class there are 40 students that means
g+b=40
now we have to equations with two variables then we should substitute
(b+10)+b=40
lets remove the brackets
2b+10=40 subtract 10 from both sides
2b=30 now divide both by 2
b=15 so g=25 after you write the equation once again with the new proof or number
Can someone help mee
Answers
Dan x. In 3 yrs x+3
x+10+x+3=83
2x+13=83
2x=83-13
2x=70
x=70/2
x=35
Cary is 42
Dan is 35