RUHSAT
Find x in the given figure. (The vertical chord is a diameter.)
x = inches
Answers
Answer:
If two chords intersect each other in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
x² = 12
x = 2√3
The formula x = r0 is used to calculate the length of a circular arc 'x', given the radius 'r' and an angle '0' in radians. For example, for a radius of 0.15m and an angle of 75.4 radians, we find x = 11m.
Explanation:The problem revolves around the relationship between the radius r and an angle in radians 0, given by the formula x = r0. This applies to questions involving the measurement of a circular arc, where 'x' is the length of the arc. An example calculation would be, if we had a radius of 0.15m and an angle of 75.4 radians, we would multiply these to find 'x', giving us x = 11m. Similarly, for a radius of 0.0450m and an angle of 220 radians, x = 9.90m. Notice that the unit of 'x' will always be in the same unit as the radius (in this case, meters).
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Related Questions
What is the value of x in the equation −x = 4 − 3x + 6?
5
10
−5
−10
Answers
−x = 4 − 3x + 6
Move the -3x to the other side and simplify 4+6.
2x= 10
Divide both sides by 2
x=5.
Answer: First option.
Step-by-step explanation:
Given the equation [tex]-x = 4- 3x + 6[/tex], you need to solve for the variable "x" to find its value.
Add the like terms on the right side of the equation:
[tex]-x = 10-3x [/tex]
Now you need to subtract 10 from both sides of the equation:
[tex]-x-10 = 10- 3x -10[/tex]
[tex]-x-10 =- 3x[/tex]
The next step is to add "x" to both sides of the equation:
[tex]-x-10+x = - 3x +x[/tex]
[tex]-10 = - 2x[/tex]
And finally, divide both side by -2:
[tex]\frac{-10}{-2}=\frac{-2x}{-2}\\\\x=5[/tex]
2 Points
What is the vertex of the graph of the function below?
y = x2 + 10x + 24
O A. (-4,-1)
O B. (-5, -1)
O C. (-5,0)
O D. (4,0)
SUBMIT
Answers
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+24} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{10}{2(1)}~~,~~24-\cfrac{10^2}{4(1)} \right)\implies (-5~,~24-25)\implies (-5~,~-1)[/tex]
The vertex of the quadratic function y = x² + 10x + 24 is located at point B. (-5, -1). This is found by using the formula -b/2a for the x-coordinate and substituting the x coordinate into the function for the y-coordinate.
Explanation:The vertex of a quadratic function (a function in the form of y=ax²+bx+c) is the point that represents the minimum or maximum of the function graph. In this case, we are looking to find the vertex of the function y = x² + 10x + 24. The formula to find the x-coordinate of the vertex of a quadratic function is -b/2a. In this function, a = 1 and b = 10, giving us -10/(2*1) = -5 for the x-coordinate of vertex. We then substitute -5 into the function for x to determine the y-coordinate, resulting in y = (-5)² + 10*-5 + 24 = -1. Therefore, the vertex of the function is (-5,-1). So, the correct choice is B. (-5, -1).
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A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.
(–2, 0) and (2, 5)
(–4, 5) and (4, –5)
(–3, 4) and (2, 0)
(1, –1) and (6, –5)
(2, –1) and (10, 9)
Answers
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{4}\implies \cfrac{5}{4}}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-0}{2-(-2)}\implies \cfrac{5}{2+2}\implies \cfrac{5}{4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-1)}{10-2}\implies \cfrac{9+1}{8}\implies \cfrac{10}{8}\implies \cfrac{5}{4}[/tex]
Answer: Im pretty sure it answer options 1 and 5
Step-by-step explanation: 1) (-2,0) and (2,5) 5) (2,-1) and (10,9)
its on edg.
This photo 2 of This question read it and find out what is The difference in feet between The Minimum and Maximum heights of a car on The ferris wheel
Answers
Answer:
From the looks of things, it seems to be 140 ft, the maximum height being 150 ft and the minimum height being 10 ft. Find the difference, and that should be your answer :)
Answer:C 140
Step-by-step explanation:
What is the value of "c" in the quadratic equation 3x2 + 5x + 7 = 0?
Answers
Answer:
Last option: 7
Step-by-step explanation:
The Standard form of a quadratic equation is the following:
[tex]ax^{2}+bx+c=0[/tex]
Where "a" is the quadratic coefficient (This coefficient cannot be 0), "b" is the linear coefficient, "c" is the constant and "x" is the variable.
In this case you have the quadratic equation [tex]3x^2 + 5x + 7 = 0[/tex] which is written is Standarf form. Then, you can identify that:
[tex]a=3\\b=5\\c=7[/tex]
Therefore the value of "c" is 7.
What is the factored form of x^12y^18+1?
Answers
Answer:
[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].
Step-by-step explanation:
We want to expand: [tex]x^{12}y^{18}+1[/tex].
We can rewrite this as the sum of two cubes.
[tex](x^{4})^3(y^{6})^3+1=(x^{4}y^{6})^3+1^3[/tex].
Recall and use the sum of cubes identity: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
By comparing our newly rewritten expression to this identity, we have [tex]a=x^4y^6[/tex] and [tex]b=1[/tex].
We substitute into the identity to get:
[tex](x^{4}y^{6})^3+1^3=[x^{4}y^{6}+1][(x^{4}y^{6})^2-(x^{4}y^{6})(1)+1^2][/tex].
We now use this rule of exponents :[tex](a^m)^n=a^{mn}[/tex] to get;
[tex](x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)[/tex].
What is 726,034 rounded to the nearest ten thousand
Answers
Answer:730000
Step-by-step explanation:
Follow below steps;
To round the number 726,034 to the nearest ten thousand, we must look at the thousands digit, which is 2. Since 2 is less than 5, we do not round up, and thus, leave the ten thousands place as it is.
The number 726,034 rounded to the nearest ten thousand is 720,000. We can see that the thousand's digit is less than 5, so we round down. This process aligns with the rounding rule stating that if the number you are rounding is followed by 0, 1, 2, 3, or 4, you round the number down.
Historians generally begin forming historical arguments in order to:
Answers
This is because they want to make sure their possible answers are correct, reliable and accurate.
Answer:
D. offer possible answers to historical questions.
Step-by-step explanation:
An argument is a statement which a historian proposes. In order to back up the statement the historian provides proof. The argument is then read by other historians and the proof is analyzed. After the analysis if other historians come to the same conclusion which the statement points to then the argument is accepted.
So, this is the way to offer possible answers to historical questions.
which statement is true
Answers
Which of the following best describes a ratio?
A. An expression that contains a radical sign
B. The cross product of two fractions
C. A comparison of two numbers
D. The inverse operation for multiplication
Answers
The best way to describe a ratio is option c, which is 'A comparison of two numbers'.
What is Ratio?A ratio shows us the number of times a number contains another number. therefore, it helps us to compare two numbers.
Which of the following best describes a ratio?As we have already discussed the ratio is the comparison of two numbers for a particular.
Hence, the best way to describe a ratio is option c, which is 'A comparison of two numbers'.
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Which set of side lengths forms a right triangle 2,3,13 4,6,10 9,12,18 15,36,39
Answers
Answer:
15,36,39
Step-by-step explanation:
primitive pythag: 5, 12, 13 *3
Answer:
The Answer is D
Step-by-step explanation:
State the various transformations applied to the base function ƒ(x) = x^2 to obtain a graph of the function g(x) = −2[(x − 1)^2 + 3].
(A) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.
(B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.
(C) A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.
(D) A reflection about the y-axis, a vertical stretch by a factor of 2, a horizontal shift of 2 units to the right, and a vertical shift downward of 6 units.
Answers
Answer: Option B
A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.
Step-by-step explanation:
If the graph of the function [tex]g(x)=cf(h-h) +b[/tex] represents the transformations made to the graph of [tex]y= f(x)[/tex] then, by definition:
If [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.
If [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c
If [tex]c <0[/tex] then the graph is reflected on the x axis.
If [tex]b> 0[/tex] the graph moves vertically upwards b units.
If [tex]b <0[/tex] the graph moves vertically down b units
If [tex]h> 0[/tex] then the graph of f(x) moves horizontally h units to the left
If [tex]h <0[/tex] then the graph of f(x) moves horizontally h units to the right
In this problem we have the function [tex]g(x) = -2((x - 1)^2 + 3)[/tex] and our parent function is [tex]f(x) = x^2[/tex]
therefore it is true that [tex]c =-2<0[/tex] and [tex]b =-6 <0[/tex] and [tex]h=-1<0[/tex]
Therefore the graph is reflected on the x axis, stretched vertically by a factor 2. The graph of f(x) moves horizontally 1 units to the right and shift downward of 6 units.
The answer is (B) A reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift downward of 6 units.
Final answer:
The correct transformations from f(x) = x² to g(x) = −2[(x − 1)² + 3] are a reflection about the x-axis, a vertical stretch by 2, a horizontal shift 1 unit to the right, and a vertical shift 3 units upwards, which is option (B) in the list provided.
Explanation:
The function g(x) = −2[(x − 1)² + 3] has undergone several transformations from the base function f(x) = x^2. These transformations include a reflection about the x-axis due to the negative sign in front of the equation, indicating that a flip has happened vertically. A vertical stretch by a factor of 2 is also evident from the coefficient 2 before the parenthesis.
The term (x - 1) inside the parenthesis indicates a horizontal shift of 1 unit to the right since we subtract from x to move the graph to the right. Lastly, the +3 at the end of the equation signifies a vertical shift of 3 units upwards, which is a change in the y-value of every point on the graph.
Therefore, the correct sequence of transformations to obtain g(x) from f(x) is: a reflection about the x-axis, a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upwards, which corresponds to option (B) provided by the student.
for f(x) equal 3x+1 and g(x) equal x-6 find (f - g) (x)
Answers
Answer:
2x + 7
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x) = 3x + 1 - (x - 6) = 3x + 1 - x + 6 = 2x + 7
What is the ordered pair of M after point M (5,6) is rotated 90 clockwise
Answers
(5,6) -> (6,-5)
Hope this helps!
Final answer:
The ordered pair of M after rotating 90 degrees clockwise is (-6,5).
Explanation:
When a point undergoes a 90-degree clockwise rotation around the origin, a distinct transformation occurs. Specifically, the x-coordinate of the original point becomes the negative value of its original y-coordinate, and the y-coordinate takes on the positive value of the original x-coordinate. This geometric operation is fundamental in transforming coordinates.
Taking point M(5,6) as an example, after the 90-degree clockwise rotation, the new coordinates manifest as (-6,5). This rotation plays a crucial role in various mathematical and geometric applications, contributing to the understanding of spatial transformations and coordinate systems.
choose all of the perfect squares 196 256 390 484 564
Answers
Answer:
{196, 256, 484}
Step-by-step explanation:
14² = 196;
16² = 256;
19² = 361; 390 lies between 361 and 400, and is thus NOT a perfect square;
20² = 400;
22² = 484
564 lies between the two perfect squares 23² and 24², but is itself NOT a perfect square.
Thus, the perfect squares are {196, 256, 484}
The perfect squares out of the numbers 196, 256, 390, 484, 564 are 196, 256, and 484. A perfect square is a number that can be expressed as an integer multiplied by itself.
Explanation:The perfect squares from the list you provided are: 196, 256, and 484. A perfect square is a number that can be expressed as the product of an integer with itself. For example, 256 is a perfect square because it can be expressed as 16 times 16, or 16^2. Similarly, 196 and 484 are perfect squares as they can be expressed as 14^2 and 22^2, respectively. On the other hand, numbers 390 and 564 are not perfect squares as they cannot be expressed as the product of an integer with itself.
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A sphere has a surface area of 12 π square inches. What is it’s exact radius?
Answers
Answer:
sqrt(3)
Step-by-step explanation:
Surface area of a sphere = 4pi(r)^2
Solve for r
cos40°+sin40°/cos40°-sin40°
Answers
Step-by-step explanation:
0.76+0.64/0.76-0.64
1.40/0.12
11.66
is the answer
Answer:
11.4300523
Step-by-step explanation:
cos 40° = 0.7660444431
sin 40° = 0.6427876097
cos 40° + sin 40° = 1.408832053
cos 40° - sin 40° = 0.1232568334
1.408832053 ÷ 0.1232568334 = 11.4300523
Where does the graph of y = –3x – 18 intersect the x-axis?
Question 16 options:
a)
(6,0)
b)
(-6,0)
c)
(0,-6)
d)
(0,6)
Answers
Answer:
b) (-6, 0)
Step-by-step explanation:
The quickest method to use is to put "0" in for y, then figure out which term for x would make the equation authentic, or genuine.
How many solutions can be found for the equation 3x − 2 = 3x + 5?
a)zero
b)one
c)two
d)infinitely manyHow many solutions can be found for the equation 3x − 2 = 3x + 5?
Answers
Answer:
Zero
Step-by-step explanation:
there is no solution the sides are uneven. if you solve for it 3x and 3x cancels out each other leaving you with -2=5
Answer:
Zero
Step-by-step explanation:
Periodt
the burj khalifa a building in dubai united arab emirates is about 828 meters tall
Answers
Answer:
true
Step-by-step explanation:
Find the area of the shaded region of the trapezoid.
Answers
Answer:
36
Step-by-step explanation:
area of trapezium is (1/2)×(6+9)×8=60
area of triangle is (1/2)×6×8=24
area of shaded =60 - 24 =36
The area of the shaded region of the trapezoid is 36.
area of trapezium is (1/2)×(6+9)×8=60
area of triangle is (1/2)×6×8=24
area of shaded =60 - 24 =36
A company makes glass lawn ornaments with a radius of 9 inches. The glass to make the balls costs the company $0.03 per square inch. To the nearest cent, how much does the company pay for the glass to create one ornament?
Answers
Answer:
$7.63
Step-by-step explanation:
We are given:
r=9 icnhes
We have to find the area of the circular ornament first. The formula for area of circle is:
Area= πr^2
Putting the value of r
Area=3.14*(9)^2
=3.14*81
=254.34 Square inches
As the company pays $0.03 for 1 square inch, for 254.34 square inch the company will have to pay:
=254.34*0.03
=$7.6302
Rounding off to the nearest cent
The cost for one ornament = $7.63
Answer:
$30.52
Step-by-step explanation:
4 x 9^2 x 3.14 x 0.03 = around 30.52
Do you think that there is a rule you could use to predict the number of times your heart would beat in 15 seconds after you did 100 jumping jacks? Explain your answer.
Answers
Answer:
Yes
Step-by-step explanation:
The more you jump, the higher your blood flow becomes, since your heart needs to pump more blood to the working areas. This really doesn't belong in math though.
Answer: yes
Step-by-step explanation: but i am not that sure how i can explain it, here look at the guys answer above. Also thank the guy above, not me.
Please refer to
This kind of transformation can change the
the lengths of some or all of the sides
the area of the shape
both a and b
Answers
Answer:
Both a and b
Step-by-step explanation:
drag each tile to the table to multiply each row heading by each column heading
Answers
Answer:
drag each result in the corresponding box according to the results
Step-by-step explanation:
Hello
The product of two or more powers of equal base "a" is equal to the power of base "a" with exponent equal to the sum of the respective exponents.
[tex]a^{m}*a^{n} =a^{n+m}[/tex]
Step 1
[tex]d*2d^{2}\\[/tex]
[tex]d*2d^{2}=(2*1)d^{(2+1)}\\d*2d^{2}=2d^{3} \\[/tex]
Step 2
[tex]-9*2d^{2}\\[/tex]
[tex]-9*2d^{2}=(-9*2)d^{(2+0)}\\-9*2d^{2}=-18d^{2} \\[/tex]
Step 3
[tex]d*11d\\[/tex]
[tex]d*11d=(1*11)d^{(1+1)}\\11*d^{2}=11d^{2} \\[/tex]
Step 4
[tex]-9 * 11d\\[/tex]
[tex]-9 * 11d = (-9*11)d^{1+0}=-99 d[/tex]
Step 5
[tex]d*-4=-4d[/tex]
Step 6
[tex]-9*-4 = ( -*- ) (9*4)= 36[/tex]
Step 7
Now, drag each result in the corresponding box .
Have a great day
Answer:
Your welcome :)
Step-by-step explanation:
Solve for x 10x+5=6x+25
Answers
Hello
Good Luck
Goodbye ♥
Answer:
x=5
Step-by-step explanation:
10x+5=6x+25
10x=6x+25-5
10x-6x=25-5
4x=20
x=5
GOOD LUCK ! ;)
Which makes the statement true?
Answers
Answer:
3/11 + 5 5/8 > 5 6/8
Step-by-step explanation:
find the LCD's for both sides of the comparison. After this, add fractions from the same side of the comparison. Then, you must compare the two and check your answer. Have a nice day!
what is the slope of the line shown below (-3,1) (5,1)
Answers
Answer:
A. 1/4
Step-by-step explanation:
The line is upwards so slope will be positive. (either A or C will be the answer)
Now to solve for slope to find out
Two coordinate points on graph (-3,-1) ad (5,1)
Slope = (y2 - y1)/(x2 - x1)
Slope = (1 + 1)/(5 + 3) = 2/8 = 1/4
Answer:
[tex]A.\frac{1}{4}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
The slope is the inclination of the line with respect to the abscissa axis, if you know two points it can be calculated using
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\[/tex]
where
[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})[/tex]
Step 1
put the values into the equation
Let
[tex]P1(-3,-1) \\P2(5,1)\\\\m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{1-(-1)}{5-(-3) } \\m=\frac{1+1}{5+3} \\m=\frac{2}{8} \\m=\frac{1}{4}[/tex]
Have a great day
What is the approximate value of x in the equation below.
Answers
Answer: First Option
[tex]x= -3.396[/tex]
Step-by-step explanation:
We have the following expression
[tex]log_{\frac{3}{4}}25 = 3x -1[/tex]
To solve the equation add 1 to both sides of the equality
[tex]log_{\frac{3}{4}}25 +1= 3x -1+1[/tex]
[tex]log_{\frac{3}{4}}25 +1= 3x[/tex]
Divide between 3 to both sides of the equation
[tex]\frac{log_{\frac{3}{4}}25 +1}{3}= x[/tex]
[tex]x= \frac{-11.19 +1}{3}[/tex]
[tex]x= -3.396[/tex]
The answer is the first option
if a base of a parallelogram is 8 inches long and the altitude to the base is 10 inches what is the area of the parallelogram
Answers
Answer: [tex]80 in^2[/tex]
Step-by-step explanation:
The area of a parallelogram can be calculated with the following formula:
[tex]A=b*h[/tex]
Where "b" is the base and "h" is the height or altitude.
You know that the base of this parallelogram is 8 inches long and the altitude to the base is 10 inches, then:
[tex]b=8in\\h=10in[/tex]
You need to substutite these values into the formula.
Therefore, the area the parallelogram is:
[tex]A=(8in)(10in)\\\\A=80in^2[/tex]