The standard equation of the circle will be (x+5)²+(y+5)²= 145
The center of the circle, which is the midpoint between those two locations, may be found first since you know the diameter endpoints.
formula for the midpoint
= ((x1+x2)/2, (y1+y2)/2)
Given points are - (3, 4), (−13, −14)
The circle's center is at (-5,-5)
Therefore, the circle's equation will take the form (x+5)²+(y+5)²=R², where R is the circle's radius.
The distance between a point on the circle and the circle's center in order to get the radius.
Therefore, let's calculate the distance between (-5, -5) and (-13,-14)
Radius R = √((-13+5)²+(-14+5)²) using the distance formula.
= 12.04
equation will be -
(x+5)²+(y+5)²= 145
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Please help me please help
Answer:
Step-by-step explanation: ok so divide by 647
If triangle GHJ is isosceles find the value of x
Answer:
x = 5
Step-by-step explanation:
Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.
Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:
Unknown angle (H) = 14x+1
So...
38 + 14x + 1 + 14 x + 1 = 180
40 + 28x = 180
-40 -40
28x = 180
28x/28 = 180/28
We get:
x = 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Note that:
Base Angles Of An Isosceles Triangle Are Equal.Calculating For the Value Of X
Since Base Angles are Equal(14x + 1)° + (14x +1)° +38° = 180°
Removing Brackets14x + 1 + 14x + 1 + 38 = 180°
28x + 2 + 38 = 180°
28x + 40 = 180°
collecting like term28x = 180 - 40
28x = 140
x =5
Therefore the value of x is 5
Write the algebraic expression for the sum of k and l divided by the sum of d and e pill
The algebraic expression for the sum of (k) and (l) divided by the sum of (d) and (e) is: (k + I) / (d + e) =
To solve this problem, we have to state the equation using the information of the problem:
Algebraic Expression:
"the sum of (k) and (l) divided by the sum of (d) and (e)"
(k + I) / (d + e) =
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line = rise/run = 2/3.
How to Determine the Slope of a Line?To determine the slope of a line, we can find the ratio of the rise of the line to that of its run.
Therefore, slope (m) of a line = rise/run.
Rise = vertical distance across the line
Run = horizontal distance across the line
In the graph given, we have:
Rise is the blue line = 6 units
Run is the red line = 9 units
Slope of the line (m) = 6 units/9 units
Slope of the line (m) = 2/3
Therefore, In simplest form, the slope of the line = rise/run = 2/3.
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Find the volume of the figure
Answer: 192 in
Step-by-step explanation:
volume of the rectangular prism:
2x8x8= 128 in
volume of the rectangular pyramid:
1/3 ( 8 x 8 x (5-2))= 64 in
Total: 128 + 64 = 192 in
one side of an isosceles triangle is three times as long as another side of the triangle. If the perimeterof the triangle is 140, then what is the length of the base of the triangle?
Answer:
20
Step-by-step explanation:
P, perimeter of triangle = a + b + c
We're given P = 140 and it is an isosceles triangle.
We can change P to be 2a + b since 2 sides are equal in an isosceles
So, 140 = 2a + b
One side is 3x longer than the other. The equal sides in the triangle can not be 3x longer than each other since it is equal.
And the isosceles sides are longer than the 1 base side.
So if a = our isosceles sides, and b is our base side, than a is 3x our base side which can be written as a = 3b
Now, 140 = 2(3b) + b, and we can now solve
140 = 6b + b => 140 = 7b
20 = b
Our base length is 20.
What if the large ferris wheel makes one revolution in 10 seconds and the small wheel makes one revolution in 7 seconds, how many revolutions will each ferris wheel need to complete before you and your sister are at the bottom at the same time?
For you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.
Time taken by the large Ferris wheel to complete 1 revolution = 10 seconds.
Time taken by the small Ferris wheel to complete 1 revolution = 7 seconds.
For them to reach bottom at the same time, we need to calculate their least common multiple.
LCM of 10 and 7 will be :
LCM = 10 × 7 = 70 seconds.
Revolutions taken by large Ferris wheel will be = 70 / 10 = 7 revolutions.
Revolutions taken by small Ferris wheel will be 70 / 7 = 10 revolutions.
Therefore, for you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.
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Or an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed? simplify your answer and write it as a proper fraction, mixed number, or whole number.
The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min
The formula and procedure we will use to solve this problem is:
v = x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x =1 kmt = 1/12 minv =?Applying the velocity formula, we get:
v = 1 km/ (1/12 min)
v = (1 km * 12) / 1 min
v = 12 km/ 1 min
v = 12 km/min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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The wind blew away 28 of your muffins. That was 7/10 of all of them! With how many did you start? As Equation Review
The total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.
Let the total number of muffins be x.
According to the given question.
The number of muffins which blew away by wind = 28
And 28 muffins are the 7/10 part of the total muffins.
Therefore, the linear equation in one variable which represents the above scenario is given by
(7/10) × x = 28
⇒ 7x = 280 (multiplying both the sides by 10)
⇒ x = 280/7 (dividing both the sides by 7)
⇒ x = 40
Hence, the total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.
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Evaluate 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power. 1 1.8 3.24 3.6
The value is 3. 24. Option C
What is index form?Index form is defined as the power or exponent that is raised to a number or a variable.
From the information given, we have the expression to be represented as;
[tex](\frac{(1.8)^7}{1. 8^6} )^2[/tex]
Now, we have to expand the exponential value of the bracket, we have;
[tex]\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}[/tex]
expand the bracket
[tex]\frac{(1.8)^1^4}{(1.8)^1^2}[/tex]
Using the laws of laws of indices, take the inverse of the denominator
(1. 8)^14-12
(1. 8)²
3. 24
Thus, the value is 3. 24. Option C
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Answer:
3.24
Step-by-step explanation:
What is the average rate of change of the function f(x)=x2–5x+14 on the interval from x=3 to x=5?
Answer:
3
Step-by-step explanation:
To find the average rate of change from two points: [a, b] we generally use the slope equation, which can be represented as: [tex]\frac{f(a)-f(b)}{a-b}[/tex]
So here let's first calculate f(3) and f(5)
[tex]f(3)=(3)^2-5(3)+14\\f(3)=8\\\\f(5)=(5)^2-5(5)+14\\f(5)=14[/tex]
Now let's plug these values into the equation: [tex]\frac{f(5)-f(3)}{5-3}[/tex]
To get the equation: [tex]\Longrightarrow \frac{14-8}{5-3}=\frac{6}{2}=3[/tex]
Mr. Zuro finds the mean height of all 16 students in his statistics class to be 67.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 63.6 inches tall. What is the mean height of the 17 students in the class?
Answer:
66.8 inches
Step-by-step explanation:
The mean height of 16 students is 67.0"
Total height of 16 students = 67 x 16 = 1,072"
When Danielle walks into the class an additional height of 63.6" is added to the total and the new total becomes 1072 + 63.6 = 1135.6"
Since there are now 17 students, mean = 1135.6/17 = 66.8"
in a recently published sociology article about transportation patterns, a sociologist studied whether families rely on their own transportation instead of public transportation. let the mean number of cars owned by a family be μ. if the sociologist wanted to know if families own, on average, more than 3 cars, what are the null and alternative hypotheses?
The null hypothesis is [tex]H_0:\mu=3[/tex] and the alternative hypothesis is [tex]H_1:\mu > 3[/tex]
There are two hypothesis considered in a statistical test. They are:
Null hypothesis ([tex]H_0[/tex])Alternative hypothesis ([tex]H_1[/tex])Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.
Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.
Here the sociologist is carrying out the test on the mean number of cars, [tex]\mu[/tex].
So to check whether the families own more than 3 cars in average,
the null hypothesis will be ,[tex]\bold{H_0:\mu=3}[/tex]
and the alternate hypothesis will be, [tex]\bold{H_1:\mu > 3}[/tex]
So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.
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Solve for x
3х+4=12+3x
Answer:
Please mark my answer as the brainliest, it would mean a lot to me
There is no anser, 0 can't equal 8
Step-by-step explanation:
3x + 4 = 12 + 3x
3x = 8 + 3x
0 = 8
NO ANSWER
Solve the system of equations : 5x - 2y = -1 and -15x + 6y = 3
Answer:
1st Q.
x = -1/5 + 2y/5y = 1/2 + 5x/22nd Q.
x = -1/5 + 2y/5y = 1/2 + 5x/225 points plus brainliest
Answer:
0
Step-by-step explanation:
Which graph represents the equation.
Answer: The one that has a picture to itself
Step-by-step explanation:
Use desmos its a free online graphics calculator for graphs. etc
100 POINTS!!!
The wavelength of the color red is about 6.5×10^−9 m. The wavelength of the color blue is about 4.75×10^−9 m. Show that the wavelength of red is longer than the wavelength of blue.
Pls answer asap 100 points
Step-by-step explanation:
To tell if something is longer than another object is to find the difference between the two objects.
If the difference is < 0, then the object is shorter
If the difference is = 0, then the objects are equal in length
If the difference is > 0, then the object is longer
[tex]6.5 * 10^{-9}[/tex] - [tex]4.75 * 10^{-9}[/tex] = [tex]1.75*10^{-9}[/tex]
The difference is > 0, so the wavelength is longer.
Pls help due today plssss
The equation for the straight line given in standard form and slope intercept form are-
y = -2x +5 ; Slope intercept form2x + 3y = 6: Standard formy = 12x - 5 : Slope intercept form4y = 2x + 3 : Standard formWhat is meant by equation of straight line?Straight lines can appear geometrically in five different cases in two dimensional space and are mathematically expressed in algebraic equation form. It is known as the general or standard form of a straight line.
The general equation of any straight line is y = mx + c, where m is the gradient (how steep the same line is) and c is indeed the y -intercept.This is the slope-intercept form of a straight line equation. A line can be described in a variety of ways. The formula of a line with slope m, for example, (x1,y1) has the point-slope form.The formula 0 = Ax + By + C is known as the 'general form' of a line equation. A, B, and C are real numbers.Comparing the given equations with the general equation-
y = -2x +5 ; Slope intercept form2x + 3y = 6: Standard formy = 12x - 5 : Slope intercept form4y = 2x + 3 : Standard formTo know more about the equation of the straight line, here
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The scores on a statistics test had a mean of 81 and a standard deviation of 9. One student was absent on the test day, and his score wasn’t included in the calculation. If his score of 84 was added to the distribution of scores, what would happen to the mean and standard deviation?.
Using the definitions of the mean and of the standard deviation of a data-set, we have that:
The mean would increase.The standard deviation would remain constant.What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.When the measure of 84 is added to the data-set, we have that:
A measure greater than the mean is added, hence the mean would increase.The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
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help me please I have a few minutes left
Answer:
.
Step-by-step explanation:
1st option. -27. is the answer
Answer: -22.5
Step-by-step explanation:
-12.5+(-10)=
-12.5-10=
-22.5
I need help asap!!! (Measurement)
Answer:
the answer is a :)
Step-by-step explanation:
i need help with this
Answer: send a pic
Step-by-step explanation:
How do I get five with with two sevens one 9 and one three ans can use the same number twice.
2 Sevens take that 2 and subtracts is by 7 like this 7 minus 2 which is five
Can someone please help me with this? I am not good at Algebra
Reward: 2 ppl answer 1s person gets a brainly, thanks on ur page, and a follow
Wrong Answers will get reported and so will nonsense
Simplify.
[tex]\frac{-4+6}{2}[/tex]
Answer:
[tex]\sf\frac{-4+6}{2}[/tex] = 1
Step-by-step explanation:
Let's solve the problem,
→ (-4 + 6)/2
→ 2/2 = 1
Hence, the solution is 1.
Simplify (step by step)
(-2)(-3) - (8)(-3) + (9)(-2)
Answer:
12
Step-by-step explanation:
If D= the total price. Write an equation for the total price in dollars for the bike including 7.75% sales tax.
Answer:
Step-by-step explanation:
Total Cost = D
D= Price + Price (0.0775)
D= Price (1 +(0.0775)) Factoring the price
D= Price (1.0775)
D= 1.0775 Price
Find the perimeter of the polygon.
37
54
48
perimeter is just all sides added so the answer would be 37+54+48 = 139
300 people were asked the following question: how many times have you accessed the internet this week? - none - once or twice - three or four times - more than four times which method of displaying the data could be used to display the data produced from that question?
(B) Bar graph method of displaying the data could be used to display the data produced from that question.
What is a bar graph?A bar chart, also known as a bar graph, is a type of chart or graph that displays categorical data using rectangular bars with heights or lengths proportional to the values they represent. The bars can be plotted horizontally or vertically. A vertical bar chart is also known as a column chart.A bar graph compares two or more discrete categories. The chart's one axis represents the specific categories being compared, while the other axis represents a measured value.Some bar graphs show bars clustered in groups of more than one, displaying the values of multiple measured variables.Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.
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The correct answer is given below:
300 people were asked the following question: How many times have you accessed the internet this week?
- none
- once or twice
- three or four times
- more than four times
Which method of displaying the data could be used to display the data produced from that question?
(a) Time Plot
(b) Bar graph
(c) Stemplot
(d) Histogram