The center of the circle that can be circumscribed about Triangle EFG with E(2,2), F(2,-2), and G(6,-2) is (2, -2).
Explanation:To find the center of the circle circumscribed about triangle EFG, we can first find the midpoint of EF and the midpoint of FG.
These midpoints will lie on the perpendicular bisectors of EF and FG respectively.
The intersection of these bisectors will give us the center of the circle. Let's calculate it step-by-step:
Step 1: Find the midpoint of EF.
Midpoint of EF = ((2+2)/2, (2-2)/2) = (2, 0).
Step 2: Find the midpoint of FG.
Midpoint of FG = ((2+6)/2, (-2-2)/2) = (4, -2).
Step 3: Find the equation of the perpendicular bisector of EF.
The slope of EF = (0 - 2)/(2 - 2) = undefined. The midpoint of EF is (2, 0).
Hence, the equation of the perpendicular bisector of EF is x = 2.
Step 4: Find the equation of the perpendicular bisector of FG.
The slope of FG = (-2 - (-2))/(6 - 2) = 0. The midpoint of FG is (4, -2).
Hence, the equation of the perpendicular bisector of FG is y = -2.
Step 5: Solve the equations of the perpendicular bisectors to find the center of the circle. Since x = 2 and y = -2, the center of the circle is (2, -2).
Final answer:
To find the center of the circle that can be circumscribed about Triangle EFG, use the midpoint formula and equations of the perpendicular bisectors.
Explanation:
To find the center of the circle that can be circumscribed about Triangle EFG with coordinates E(2, 2), F(2, -2), and G(6,-2), we can use the following steps:
Find the midpoint of each side of the triangle, which will be the center of the circle.
Use the midpoint formula to find the coordinates of the midpoints of EF and FG.
The center of the circle will be the point where the perpendicular bisectors of each side intersect.
Find the equation of the perpendicular bisectors of EF and FG.
Solve the system of equations formed by the equations of the perpendicular bisectors to find the coordinates of the center of the circle.
The center of the circle that can be circumscribed about Triangle EFG is (-2/3, -4/3).
Which of these metals are magnetic?
A. Copper
B. Steel
C. Nickel
D. Tin
E. Aluminum
I believe it would be Steel so B
Answer: both steel and nickel are magnetic but in this case i would go with B.steel
In a plane, if one of two _____ lines is perpendicular to another line, the other of the two lines is perpendicular to that line. A. perpendicular B. parallel C. congruent D. equal
Answer:
A
Step-by-step explanation:
If a parallel line is perpendicular to the other line, the line parallel to the first line is also perpendicular to that line.
PLEASE HELP!!! 10+5 POINTS!
Which number is written in scientific notation?
A 4.5 x 10 ⁻³
B 14.5 x 10²
C 0.78 x 10⁻⁶
D 5.7 x 4⁸
Answer:
It's A
Step-by-step explanation:
I took da quiz
To solve the equation x - 4 = 12, A) add 4 to both sides. B) subtract 4 from both sides. C) add 4 to the left and subtract 4 from the right. D) subtract 12 from the right and add 4 to the left.
Answer:
A. Add both sides
Step-by-step explanation:
jus did it on usa prep test
The solution of the equation is obtained by adding 4 on both sides. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation with a single variable is given below.
x - 4 = 12
Add 4 on both sides of the equation, then we have
x - 4 + 4 = 12 + 4
x = 16
The arrangement of the situation is acquired by including 4 the two sides. Then the right choice is A.
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The volume of a cone is 294.38 cm3. The radius of the base is 7.5 cm. Which of the following could be the height of the cone?
The height would be 5.
Answer: i used my calculator check this is right
Step-by-step explanation:
What is the equation of the line, in point-slope form, that passes through the points (9, 1) and (4, 16)?
A. y + 1 = -3(x + 9)
B. y - 1 = -3(x - 9)
C. y + 1 = 3(x + 26)
D. y - 1 = 3(x - 26)
Answer:
B. y - 1 = -3(x - 9)Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (9, 1) and (4, 16). Substitute:
[tex]m=\dfrac{16-1}{4-9}=\dfrac{15}{-5}=-3[/tex]
[tex]y-1=-3(x-9)[/tex]
The equation of the line that passes through the points (9, 1) and (4, 16) in point-slope form is y - 1 = -3(x - 9).
Explanation:To find the equation of a line, we can use the point-slope form, which is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line.
Given the points (9, 1) and (4, 16), we can calculate the slope using the formula m = (y₂ - y₁) / (x₂ - x₁).
Substituting the values, we get m = (16 - 1) / (4 - 9) = -3. So, the equation of the line in point-slope form is y - 1 = -3(x - 9).
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How do you simplify 16m^2/24m^7
To simplify 16m^2/24m^7, you divide both numbers by 8 and subtract the exponents, getting 2/3m^(-5), which is then rewritten with positive exponents as 2/(3m^5).
Explanation:To simplify the expression 16m^2/24m^7, we need to reduce the fraction by dividing both the numerator and the denominator by their greatest common factor. Additionally, we apply the laws of exponents to simplify the expression further.
First, we observe that 16 and 24 have a common factor of 8. So we divide both by 8:
16 / 8 = 2
24 / 8 = 3
Now our expression looks like this:
2m^2 / 3m^7
Next, we apply the laws of exponents. Since both the numerator and denominator have the base m, we subtract the exponent in the numerator from the exponent in the denominator:
m^2 / m^7 = m^(2-7) = m^(-5)
Combining the reduced coefficients and the exponents, we get:
2/3m^(-5)
To have positive exponents, we can write:
2/(3m^5)
Which number has a 9 that is one tenth the value of the 9 in 296?
Answer: What are the other numbers that we have to compare
Step-by-step explanation: And if yall thnk im trying to get points im not but i will give yall the answer keys A. 195 B. 409 C.981 D. 1,956 we all know its not b so dont pick be
In number 409 , digit 9 has the same value as one tenth the value of the 9 in 296.
Given number is 296.
Place value of 2 [tex]=200[/tex]
Place value of 9 [tex]=90[/tex]
One tenth of place value of 9 in 296 [tex]=\frac{1}{10}*90 =9[/tex]
From given options, In Number 409, digit 9 have same place value as one tenth the value of the 9 in 296.
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There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
Answer:
1000 times greater
Step-by-step explanation:
1 gigabyte = 1000000000 bytes
1 mega byte = 1000000 bytes
Therefore;
1 gigabyte = 1000 megabyte
Thus;
The storage capacity of 1 gigabyte is 1000 times greater than a flash drive with a capacity of 1 megabyte
Answer:
"1,000 times greater"
Step-by-step explanation:
We will do the calculation in BYTES.
We want to figure out HOW MANY TIMES GREATER is 1 Gigabyte than 1 Megabyte.
1 Gigabyte (GB) = 10^9 Bytes
1 Megabyte (MB) = 10^6 Bytes
So, how many times is 10^9 is of 10^6? We just need to divide 10^9 by 10^6.
[tex]\frac{10^9}{10^6}=\frac{1000000000}{1000000}=1000[/tex]
So, 1 GB is 1000 times greater than 1 MB.
Find the difference between -4 and 2
Answer:
-6
Step-by-step explanation:
"the difference" = subtract.
The difference between -4 and 2 is subtract -4 and 2 together.
-4 - 2 = -6
-6 is your answer.
~
Answer:
The difference is 6
Step-by-step explanation:
The difference means the absolute value, so not what -4-2 is, but how far apart these two are on a number line. We need to take the absolute value of -4-2 so |-4|-|2|=|-6| and absolute value ignores signs so your answer is 6. Let me know if you need more help
There are 9 players on a baseball team. After the game each player high-fives once with everyone else. How many high-fives were given?
Answer:
32
Step-by-step explanation:
Give each player a letter.
a, b, c, d, e, f, g, h, i
Each player high fives each other once.
a: b, c, d, e, f, g, h, i
b: c, d, e, f, g, h, i
c: d, e, f, g, h, i
d: e, f, g, h, i
f: g, h, i
g: h, i
h: i
Remember that you do not recount high-fives (as each player only gives it to another player once). Add the amount of high fives by counting.
32 is your answer.
~
What is the median of this set of data values 11,13,14,15,18,20,23,26
Answer: The required median of the given data set is 16.5.
Step-by-step explanation: We are given to find the median of the following set of values :
11, 13, 14, 15, 18, 20, 23, 26.
We know that
(i) If the data contain an odd number of values, then the mid-value is the required median.
(ii) If the data contain an even number number of values, then the average of the two mid-values will be the required median.
Since the given data contains 8 values, which is an even number, so we will consider two mid-values and those are 15 and 18.
The average of 15 and 18 is given by
[tex]A=\dfrac{15+18}{2}=\dfrac{33}{2}=16.5.[/tex]
Thus, the required median of the given data set is 16.5.
What scientific value for n will make this equation true?
(4.8 × 10–3)(n) = 9.6 × 109
Answer:
[tex]n=2*10^{12}[/tex]
Step-by-step explanation:
we have
[tex](4.8*10^{-3})(n)=9.6*10^{9}[/tex]
Solve for n
That means-----> isolate the variable n
Divide by [tex](4.8*10^{-3})[/tex] both sides
[tex]n=\frac{9.6*10^{9}}{4.8*10^{-3}}\\\\n=\frac{9.6}{4.8}*10^{(9+3)}\\ \\ n=2*10^{12}[/tex]
Answer:
The value of [tex]n=2\times 10^{12}[/tex] which make equation true.
Step-by-step explanation:
Given : Expression [tex](4.8\times 10^{-3})(n)=9.6\times 10^9[/tex]
To find : What scientific value for n will make this equation true?
Solution :
[tex](4.8\times 10^{-3})(n)=9.6\times 10^9[/tex]
Solve for n,
[tex]n=\frac{9.6\times 10^9}{4.8\times 10^{-3}}[/tex]
[tex]n=\frac{9.6}{4.8}\times 10^{9+3}[/tex]
[tex]n=2\times 10^{12}[/tex]
Therefore, The value of [tex]n=2\times 10^{12}[/tex] which make equation true.
What Is The Value Of X?
Answer: 7 cm
Step-by-step explanation:
You know the lenght of one of the sides of the smaller triangle.
You also know the lengths of two sides of the larger triangle.
You can see that a corresponding angle is equal
Therefore, by similarity, you can write the expression shown below:
[tex]\frac{36cm}{42cm}=\frac{6cm}{x}[/tex]
Now you must solve for x.
Therefore, you obtain that the value of x is the shown below:
[tex]x(\frac{36cm}{42cm})=6cm\\\\x=\frac{6cm*42cm}{36cm}\\\\x=7cm[/tex]
What are the square roots of 64/144 ?
−4/12 and 4/12
−32/72 and 32/72
−8/12 and 8/12
−4/9 and 4/9
Answer: third option
Step-by-step explanation:
To solve the problem you must apply the proccedure shown below:
- Descompose the numerator and the denominator of the given fraction into its prime numbers:
[tex]64=2*2*2*2*2*2\\144=2*2*2*2*3*3[/tex]
Then you can rewrite:
[tex]64=2^6\\144=2^4*3^2[/tex]
Then:
[tex]\±\sqrt{\frac{{2^6}}{{2^4*3^2}}}=\±\frac{2^3}{2^2*3}=\±\frac{8}{4*3}=\±\frac{8}{12}[/tex]
Therefore, the answer is: [tex]-\frac{8}{12}\ and\ \frac{8}{12}[/tex]
Answer:
The correct answer is option 3
-8/12 and 8/12
Step-by-step explanation:
It is given that square roots of 64/144
The given number is a fraction.
The numerator of the square root and denominator both are perfect squares. So it is easy to find the square root of given number
To find the square root of 64/144
we have , √64 = ±8 and 144 = ±12
√(64/144) = ± 8/12
Therefore, √(64/144) = 8/12 or √(64/144) = -8/12
Therefore the correct answer is option 3
Help me plz I don't know the choices it could be
Answer: 544 cm²
Step-by-step explanation:
There are 5 sections to the tent:
Front (triangle): A = [tex]\frac{1}{2}[/tex] · b · hBack (triangle): same dimensions as FrontBase (rectangle): A = L · wLeft Side (Rectangle): A = L · wRight side (rectangle): same dimensions as Left SideTotal Surface Area = Front & Back + Base + Sides
= 2[[tex]\frac{1}{2}[/tex](12 · 8)] + (12 · 14) + 2(14 · 10)
= 96 + 168 + 280
= 544
A)A 15-year old girl charged with shoplifting.
Eliminate
B)A 19-year old man charged with assault.C)A 21-year old woman charged with fraud.D)A 25-year old man charged with speeding
C)21-YEARS OLD WOMAN CHARGED WITH FRAUD.
The answer is A.
15 year-old girl with shoplifting
how many ml of 30 percent acid should be added to pure acid to make 70 ml of 35 percent acid?
Answer:
65 mL
Step-by-step explanation:
Let x represent the quantity (mL) of 30% acid that should be added to (70-x) mL of pure acid to make 35% acid. The quantity of acid in the mix is ...
0.30·x + 1.00·(70 -x) = 0.35·70
-0.70x = 70·(-0.65) . . . . . . simplify, subtract 1.0·70
x = 65 . . . . . . . . . . . . . . . . . divide by the coefficient of x
65 mL of 30% acid should be added to 5 mL of pure acid to make 70 mL of 35% acid.
_____
Comment on the problem wording
Safety precautions should be observed when working with pure acid. As a chemistry problem (not a math problem), 5 mL of pure acid should be added to 65 mL of 30% acid, not the other way around.
Reflect the triangle over the y-axis and find the coordinate of the image of point K.
Answer:
Okay, all you have to do is reflect the triangle over the y-axis by finding each of the points distance from the y-axis. For example. If one of your coordinates was (3,2) you would reflect it over to (-3,2). Can you give me point K's coordinates?
Step-by-step explanation:
Answer:
A- K’(2, 1)
Step-by-step explanation:
took it
the volume of a cube is 1,953,125 centimeters what is the length of the sides
Answer:
125 cmStep-by-step explanation:
The formula of a volume of a cube:
[tex]V=a^3[/tex]
a - edge of cube
We have V = 1,953,125 cm³. Substitute:
[tex]a^3=1,953,125\to a=\sqrt[3]{1,953,125}\\\\\begin{array}{c|c}1,953,125&5\\390,625&5\\78,125&5\\15,625&5\\3,125&5\\625&5\\125&5\\25&5\\5&5\\1\end{array}\\\\1,953,125=5^3\cdot5^3\cdot5^3\\\\\sqrt[3]{1,953,125}=\sqrt[3]{5^3\cdot5^3\cdot5^3}\qquad\text{use}\ \sqrt[3]{ab}=\sqrt[3]a\cdot\sqrt[3]b\\\\=\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\qquad\text{use}\ \sqrt[3]{a^3}=a\\\\=5\cdot5\cdot5=125[/tex]
Can someone explain this to me?
sure !! pretty sure it wants you to distribute in each of your answer choices to get the functions and then match the function to the graph because the answer choices now are factored and harder to work with. to be honest once you find your functions after distributing i would just use a graphing calculator website like desmos.com and input each function to see which graph looks like the one shown
Answer:
(x^-1)(x+3)
Step-by-step explanation:
A
Please help me ASAP
I got these wrong and I want you to correct it
Answer:
8
Step-by-step explanation:
see attached for questions 3's answer
what is the length of the line segment with end points (5, -7) and (5, 11)
Answer:
18Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (5, -7) and (5, 11). Substitute:
[tex]d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18[/tex]
THE BROWN FAMILY IS PLANTING 1/3 OF THEIR GARDEN WIH FLOWERS, 1/3 WITH BERRIES, AND 1/3 WITH VEGETABLES. THE VEGETABLES SETION HAS EQUAL PARTS OF CARROTS, ONIONS, PEPPERS, AND TOMATOES. WHAT FRACTION OF THE GARDEN IS PLANTED WITH CARROTS? SOLVE THIS PROBLEM ANY WAT YOU CHOOSE.
PLESASE HELP ME ASAP
1/12 the fraction of the garden is planted with carrots.
How to determine the fraction of the garden is planted with carrots.The Brown family is planting 1/3 of their garden with vegetables, which is further divided into equal parts of carrots, onions, peppers, and tomatoes.
So, the fraction of the garden planted with carrots is 1/4 of the vegetable section, which can be calculated as follows:
1/4 x 1/3 (fraction of the garden planted with vegetables) = 1/12
Therefore, 1/12 of the garden is planted with carrots.
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Final answer:
1/12 of the Brown family's garden is planted with carrots, as the vegetable section is 1/3 of the garden and is equally divided among four types of vegetables.
Explanation:
The Brown family is planting 1/3 of their garden with flowers, 1/3 with berries, and 1/3 with vegetables.
The vegetable section is equally divided into four parts for carrots, onions, peppers, and tomatoes.
To find the fraction of the garden planted with carrots, you would divide the vegetable section's fraction by the number of vegetable types.
Since 1/3 of the garden is planted with vegetables, and there are 4 types of vegetables, the fraction of the garden with carrots is:
1/3 ÷ 4 = 1/3 × 1/4 = 1/12.
Therefore, 1/12 of the garden is planted with carrots.
What is the mean absolute deviation
3,5,8,1,4
Answer:
the mean is 4.2
Step-by-step explanation:
Answer:
Mean absolute deviation: 1.84.
Step-by-step explanation:
How do you find the mean absolute deviation for a bunch of numbers?
Calculate the average (a.k.a. mean) of the numbers.Calculate the absolute difference (just discard any negative "-" sign in front of the difference) between each number and the mean. The mean absolute deviation is the average of all those absolute differences.What's the mean of those numbers?
(3 + 5 + 8 + 1 + 4) / 5 = 4.2.
Absolute difference:
3 - 4.2 = -1.2. Drop the negative sign to get 1.2.5 - 4.2 = 0.8.8 - 4.2 = 3.8.1 - 4.2 = -3.2. Drop the negative sign to get 3.2.4 - 4.2 = - 0.2. Drop the negative sign to get 0.2.What's the average of those absolute differences?
(1.2 + 0.8 + 3.8 + 3.2 + 0.2) / 5 = 1.84. That's the mean absolute deviation of those five numbers.
An acorn is most likely to be weighed in _____ .
tons
pounds
ounces
An acorn is most likely to be weighed in Ounces. Hope this helps! =^-^=
Answer:
ounces
Step-by-step explanation:
tons is what you would weigh a elephant
pounds is what you would measure how heavy a person is
plz help quickly
plzzzz
Answer:
D.)1.7
Step-by-step explanation:
it's positive and above the 1 point
HELP ASAP!! IF CORRECT I WILL MARK BRAINIEST!!!!!!!
Answer:
B. -28
Step-by-step explanation:
7 times the value -4 is "added", yielding the result of -28.
So we're looking for an answer with -28 as an answer, and a "times 7". That's answer B. Answer D is not the right one since clearly, the model shows -4 being repeatedly (7 times) added. -7 added 4 times would be a different model.
The answer is be -28
Malco weighs 42 more pounds than Peter the sum of their Weights is 286 pounds how much does Peter way
Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?
Answer:
First figure
Step-by-step explanation:
From given graph we can see that the point (3,0) and (3,1) lie on the given graph.
90 degree rotation counterclockwise around origin:The point (x,y) is rotated 90 degree counterclockwise about origin then the point changed by the rule
[tex](x,y)\rightarrow(-y,x)[/tex]
When the point (x,y) is reflected across x- axis then point is transformed by the rule
[tex](x,y)\rightarrow (x,-y)[/tex]
Point (3,0) is rotates 90 degree counter clockwise about origin then the point will be (0,3) after rotation.
When the point (0,3) is reflected across x- axis then the point becomes
(0,-3).
The point (3,1) becomes (-1,3) after 90 degree counterclockwise rotation.
After reflection across x- axis, the point becomes (-1,-3)
(0,-3) and (-1,-3) lie in the firs figure.
Hence, it is true.
Answer: the first one