Find the distance between the points J(-8, 0) and K(1, 4). Answer in simplest exact form.
What’s the exact distance?
Answers
Answer:
distance = \(\bf \sqrt{97}\) units
Step-by-step explanation:
To find the distance between two points given their coordinates, we can use the following formula:
\(\boxed{\mathrm{distance} = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}}\),
where \((x_1, y_1)\) and \((x_2, y_2)\) are coordinates of the two points.
The two points we are given are:
• J(-8, 0)
• K(1, 4).
Using these coordinates and the formula above, we can calculate the distance between the points:
distance = \(\sqrt{(-8 - 1)^2 + (0 - 4)^2}\)
= \(\sqrt{(-9)^2 + (-4)^2}\)
= \(\sqrt{81 + 16}\)
= \(\bf \sqrt{97}\)
Therefore, the distance between J and K is \(\bf \sqrt{97}\) units.
Related Questions
Latisha'a water bottle can hold 10 pints. How many cups can it hold?
Answers
Answer:
Hey mate here's your answer ⤵️
Please refer to the attachment for the answer ☝️
Hope it was helpfulll
What is the slope of the line shown below?
(-1,6)
(2,-3)
o A. 1/3
O B. -1/3
C. -3
D. 3
Answers
Answer:
C
\(slope = \frac{(y _{2} - y _{1})}{(x _{2} - x _{1}) } \\ = \frac{( - 3 - 6)}{(2 - ( - 1))} \\ = \frac{ - 9}{3} \\ slope = - 3\)
Which table does NOT represent a linear function?
Answers
Answer:
3rd
Step-by-step explanation:
3rd one because rate of change is not same
18 - 15 / 0 - -1 = 3
20 - 18 / 1 = 2
21 - 20 / 1 = 1
Answer: i honestly think it would be the table with:
-1,15
0,18
1,20
2,21
Step-by-step explanation: hope this helped ty for the points
Someone help
A)17/15
B)15/17
C)17
D)8/17
E)17/8
Answers
Answer:
B) 15/17
Step-by-step explanation:
You want the sine of acute angle A in the right triangle shown.
SineThe sine of the angle is the ratio ...
Sin = Opposite/Hypotenuse
We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)
The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.
CheckThe value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.
Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.
The sine of angle A is 15/17.
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Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
Answers
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
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Prove that two triangles on the same base and between the same parallels are equal
in area.
Answers
follow me please .........
Answer:
............................
Step-by-step explanation:
.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.
how much is 1000 subtract 4
Answers
Answer:
your answer is 996
1000 - 4 = 996
pls help me i’ll give ty brainlist
Answers
\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)
Option B is the answer.
Answer: C
i hope you can see my handwriting
A production line has an automatic scanner to detect defects. In recent production, 10% of items have been defective. Every defective item is identified correctly as defective with probability 90%. Every non-defective item is identified correctly as non-defective with probability 80%.
Required:
What percent of all the items are classified correctly by the scanner?
Answers
Answer:
81%
Step-by-step explanation:
P (Defective item) = 10% , P (Defective identified) = 90% of defective = 90% of 10% = 9%
P (Non defective item) = 1 - 10% = 90% , P (Non defective identified) = 80% of non defective = 80% of 90% = 72%
Prob (Scanner identifies correctly) = Pr (non defective mentioned non defective) & Pr (defective mentioned defective)
= 9% + 72% = 81%
PLEASE HELP ITS URGENT PLEASEEEEEEEEE I WILL GIVE THE BRAINLIEST PLEASEEE T-T
fy Which ordered pairs show the location of the Empire State Building? Check all that apply. Broadway Statue of Liberty 4 1 2 2 . Empire State Building х -4 -2 2 4 -2 0 (-1.5, -1.0) O (1.5, 1.0) O (1.0, 1.0) Brooklyn Bridge -4
Answers
Answer:
Step-by-step explanation 1 and 4
Answer:
a and d
Step-by-step explanation
Which ordered pairs show the location of the Empire State Building? Check all that apply.
What are the domain and range of the exponential function below?
F(x) = 5x + 6
A. Domain: All real numbers greater than 0
Range: All real numbers greater than 0
B. Domain: All real numbers
Range: All real numbers greater than 6
C. Domain: All real numbers greater than 0
Range: All real numbers greater than 6
D. Domain: All real numbers
Range: All real numbers greater than 0
SUBMIT
Answers
The correct option for the domain and range is B:
Domain: All real numbersRange: All real numbers greater than 6What are the domain and range of the exponential function?Here we have the exponential function:
f(x) = 5ˣ + 6
We know that when x tends to negative infinite, the first term tends to zero, then the minimum of the range is 6, while the maximum is infinite.
And the domain can be the set of all real numbers (because there are no value of x that causes a problem).
Then the correct option is B
Domain: All real numbers
Range: All real numbers greater than 6
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Your friend gives you the right triangle above and to the left and says. "Bisecting an angle is really easy. Take triangle ABC. If I wanted to bisect
(a) Convince your friend that they are wrong. Use what you know about trigonometry to explain why CAD and DAB are not congruent.
(b)locate the point E on that lies on the angle bisector of CAB.How far is point E from point B?Show all your work
Answers
I) The angles are not equal then the two triangles are not Congruent.
ii) The point E is 1.5 from point B.
What is Bisector?
A line that divides the line into two distinct or equal segments is referred to as a "bisector." It is applied to angles and line segments.
A ray that divides an angle into two equal pieces is known as an angle bisector or the bisector of an angle.
Given:
As, <CAB = 19.4 and <DAB = 33.7
So, CAD and DAB are not congruent.
ii) The point E should be located 1.5 away from point B.
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A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?
Answers
Answer:
$1,030
Step-by-step explanation:
Step 1- Multiply One way tickets by How much the tickets cost:
35 x 14= 490
Step 2- Multiply Round trip tickets by how much the tickets cost:
20 x 27= 540
Step 3- Add both sums together:
490 + 540= 1,030
Therefore, the answer is $1,030
Find the domain and real zeros of the gillen Function. f(x) = (x-3)^2 x ³_ 3x² + 2X
Answers
To find the real zeros of the function, we need to solve for the values of x that make the expression equal to zero. So we start by setting f(x) = 0 and then simplifying the resulting equation:
f(x) = (x-3)^2 x³ - 3x² + 2x = 0
Factor out an x from the right-hand side of the equation:
x (x-3)^2 (x² - 3x + 2) = 0
The real zeros of the function are the values of x that make the left-hand side of the equation equal to zero. So we solve each factor for x:
x = 0, x = 3, and x² - 3x + 2 = 0
The quadratic equation x² - 3x + 2 = 0 can be factored as (x-1)(x-2) = 0, so the solutions are x = 1 and x = 2.
Therefore, the real zeros of the function are x = 0, x = 1, x = 2, and x = 3.
Will mark brainliest! Questions are in the picture!
Answers
step-by-step explanation:
from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have
tz=sz(given)
bz=zb(common)
therefore, by rhs rule,δtzb ≅δszb
by cpctc, sz≅tz
also, from δctz and δasz,
tz=sz(given)
∠tcz=∠saz(90°)
by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz
also,from δasz and δzsb,
zs=sz(common)
∠zbs=∠saz=90°
by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb
hence, option a, c,d are correct.
#a
2 solutions as degree is 2.#b
one solution as time can't be negative#c
Lets see
-2.7t²+13.5t+14=0On solving we get
t=5.88s#d
Find vertex x
-b/2a13.5/5.42.5Max height
-2.7(2.5)²+13.5(2.5)+1430.3ft#e
y=-2.7(3.25)²+13.5(3.25)+14y=29.35ftP is directly proportional to M and inversely proportional to N. If P = 9 when M = 24 and N = 8, find the value of P when M = 5 and N = 6.
Please I need the solvings to this question
Answers
Answer:
2.5
Step-by-step explanation:
P = k*M /N
9 = k * 24/8
9 = k * 3
k = 3
if M=5 and N=6
P = 3 * 5/6 = 5/2 = 2.5
The three methods used to classify costs into their fixed and variable components includes:_____.
a. high-low method.
b. scatter diagrams.
c. most-squares regression.
d. least-squares regression.
e. variable-fixed method.
Answers
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.
On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.
A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Answer:
a. high-low method.
b. scatter diagrams.
d. least-squares regression.
Step-by-step explanation:
The three methods used to classify costs into their fixed and variable components includes:
high-low method.scatter diagrams.least-squares regression.What is the value of x in this proportion?
56=−4x+2
Responses
x=−2 4/5
x equals negative 2 and 4 over 5
x=−4 2/5
x equals negative 4 and 2 over 5
x=−5 1/5
x equals negative 5 and 1 over 5
x=−6 4/5
x equals negative 6 and 4 over 5
Answers
The value of x or the expression 56 = -4x + 2 is -27/2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
56 = -4x + 2
Solve for x.
56 = -4x + 2
Subtract 2 on both sides.
56 - 2 = -4x
54 = -4x
Divide -4 into both sides.
-54/4 = x
x = -54/4
x = -27/2
x = -13(1/2)
Thus,
The value of x is -27/2.
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Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Answers
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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At a garage sale, Petra priced her scooter for $19.25. She ended up selling it for $11.50. Find the percent of decrease in the price of the scooter. Round the percent to the nearest tenth if necessary.
Answers
Answer:
697.7
Step-by-step explanation:
PLS HELP ASAPpppppppppppp
Answers
Answer:
I think the answer is B Aponi uses 75 beads
Step-by-step explanation:
150/2 = 75
I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Which expression is equivalent to RootIndex 4 StartRoot StartFraction 16 x Superscript 11 Baseline y Superscript 8 Baseline Over 81 x Superscript 7 Baseline y Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0 and y not-equals 0. StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction StartFraction 4 x squared y Over 9 EndFraction StartFraction 2 x squared y Over 3 EndFraction
Answers
Answer:
I said D
Step-by-step explanation:
The equivalent expression of the expression\(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\) is \(\frac 23x\sqrt{y\)
How to determine the equivalent expression?The expression is given as:
\(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\)
Take the 4th root of 16 and 81
\(\frac 23\sqrt[4]{\frac{x^{11}y^8}{x^7y^6}}\)
Apply the law of indices
\(\frac 23\sqrt[4]{x^{11 - 7}y^{8 - 6}}\)
Evaluate the difference
\(\frac 23\sqrt[4]{x^{4}y^{2}}\)
Take the 4th root of x^4
\(\frac 23x\sqrt[4]{y^{2}}\)
Take the 4th root of y^2
\(\frac 23x\sqrt{y\)
Hence, the equivalent expression of \(\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}\) is \(\frac 23x\sqrt{y\)
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A piggy bank contains 4 quarters, 18 dimes, 10 nickles, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability. P(penny, then dime)
Answers
The probability of choosing a penny in the first draw is:
\(P(\text{penny)}=\frac{8}{40}\)Now, the probability of choosing a dime is:
\(P(\text{dime)}=\frac{18}{39}\)Therefore the probabily of chooosing a penny and then a dime is:
\(P=\frac{8}{40}\cdot\frac{18}{39}=\frac{6}{65}\)If Susan will be 2 times old in seven years as she was 3 years ago, what is Susan's present age?
Answers
Answer:
Let's start by assigning a variable to Susan's present age. Let's call it "x".
According to the problem, in seven years, Susan will be "x + 7" years old.
Three years ago, Susan was "x - 3" years old.
The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:
x + 7 = 2(x - 3)
Now we can solve for x:
x + 7 = 2x - 6
x = 13
Therefore, Susan's present age is 13 years old.
Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."
Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:
x + 7 = 2(x - 3)
Let's solve this equation to find Susan's present age:
x + 7 = 2x - 6
Subtracting x from both sides:
7 = x - 6
Adding 6 to both sides:
13 = x
Therefore, Susan's present age is 13 years.
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answers
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
r(x)=-4/5x+7
what is x?
Answers
please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
HELP PLS! :( whoever gets it right gets brainliest!!!
Answers
What is the value of x? Round only your final answer to the nearest hundredth.
Answers
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
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