Option A and D. The statements that are correct here are
1/2 QP = UTSU ║ RPHow to arrive at the statements about the midpointsIf the two points UT and QP are parallel, then UT is going to be the half of QP. This would be due to a scale factor of 1/2.
Then at a midpoint T is that of PR. SU is parallel to RP. SU is half of RP due to as scale factor of 1/2.
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Answer: A and D E2020
Step-by-step explanation:
E2020 geometry B!! :)
Need help with this question
Now, ORQ is a straight angle and RS its bisector.
It means:
ORS = QRS = 180°/2 = 90°So, ∠ORS and ∠QRS are supplementary.
We also have ray RP, that divides the angles ORQ and QRS.
It gives us one more pair of supplementary angles:
∠ORP and ∠QRP.Since ∠QRS is right angle, its parts are forming a pair of complementary angles:
∠SRP and ∠QRP are complementaryThe total cost, C, for running an advertisement in a local newspaper, The Free Press, is made up of an initial cost of $12 plus a charge of $5 per day. A rival newspaper, The Banner, is currently running a special on advertisements at $8 per day with no initial cost.
a) Write an equation representing the cost in The Free Press.
b) Write an equation representing the cost in The Banner.
c) For each newspaper, create a table of values.
d) Use Geometer’s Sketchpad to graph each cost on the same set of coordinate axes.
e) Which newspaper would you use for an ad that ran 1 day?
f) Which newspaper would you use for an ad that ran 12 days?
The equation representing the cost in The Free Press is 12 + 5d.
How to depict the equation?The equation representing the cost in The Free Press will be:
= 12 + (5 × d)
= 12 + 5d
The equation representing the cost in The Banner will be:
= 8 × d
= 8d
The table of value for Free Press will be:
1st day = 12
2nd day = 17
3rd day = 22
4th day = 27
5th day = 32
The table of value for the Banner will be:
1st day = 8
2nd day = 16
3rd day = 24
4th day = 32
5th day = 40
The newspaper that will be used to run the advertisement for the first day is Free Press since it's cheaper.
The newspaper that will be used to run the advertisement for twelve days will be:
Free press = 12 + 5d
= 12 + 5(12)
= 12 + 60 = 72
The banner = 8d = 8 × 12 = 96
Therefore, for 12 days, Free Press is cheaper.
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The 8. is just the number of the question.
The value of (1+tanx)(1-tanx)+sec²x is 0 and the value of [tex]\frac{sec^{2}-4 }{sec+2}[/tex] is [tex]sec\theta \ -2[/tex].
Given that, (1+tanx)(1-tanx)+sec²x.
Now, (1-tan²x)+sec²x
=1-tan²x+sec²x
=1+sec²x-tan²x
=1-1=0
Now, evaluate [tex]\frac{sec^{2}-4 }{sec+2}[/tex]
[tex]=\frac{sec^{2} \theta \ -2^{2} }{sec\theta \ +2} =\frac{(sec \theta \ +2)(sec \theta \ -2)}{sec \theta \ +2}[/tex] (∵a²-b²=(a+b)(a-b))
[tex]=sec \theta \ -2[/tex]
Hence, the value of (1+tanx)(1-tanx)+sec²x is 0 and the value of [tex]\frac{sec^{2}-4 }{sec+2}[/tex] is [tex]sec\theta \ -2[/tex].
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A motor bike depreciated in value from 4500 to 3285. calculate the percentage depreciation
The percentage depreciation is 27 % .
What is percentage ?
Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.Given ,
from 4500 to 3285 is depreciation value of a motor bike.
So,
= [tex]\frac{( 4500 - 3285 )} {4500} * 100[/tex]
= [tex]\frac{1215}{4500} * 100\\[/tex]
= [tex]\frac{121500}{4500}[/tex]
= 27 %
Therefore, The percentage depreciation is 27 % .
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hep me out with this question i will give you brainly!
Answer:
c because have great day
A pet supply store lets you donate your change to the local animal shelter. Denise buys a bag of dog food for $15.74 and a squeaky toy for $3.98. She gives the cashier $20. If she gives all of her change, how much will Denise donate to the animal shelter?
Considering her change, it is found that she will donate $0.28 to the animal shelter.
How to find the amount of change in a purchase?The amount of change is given by the subtraction of the total paid and the price of the products.
In this problem, the price of the products bought is given by:
$15.74 + $3.98 = $19.72
She paid $20, hence the change is given by:
$20 - $19.72 = $0.28.
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Find x and y.
x - y = 2
3x - y = 12
the answer is
X=5
y=3
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Find the midpoint of a A(3, -1) and B(x, y) is P(4, - 5). Find the coordinates of B. pls answer it is urgent i will mark him or her brainlest
Answer:
is this tye required answer
Just an easy question for 100 points! :)
If the function is translated 4 units down, the resulting function will be
y = x - 4 while the vertical stretch by 3units will be y = 3(x-4)
Transformation of functionsTransformation of function is a way of changing the position of a line or curve on an xy place.
Given the equation of a line as shown;
y = x (This will serve as the parent function)
If the function is translated 4 units down, the resulting function will be
y = x - 4. If the resulting function is stretched by a factor of 3, the final function will be y = 3(x - 4)
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Here is a list of ages (years) of children in a room: 9 , 9 , 9 , 4 , 9 , 1 , 10 State the median.
Answer:
the median is 9
Explanation
Finding the median is easy, all you need to do is put the numbers in numeric order and the one that's in the middle of the numbers is the median
9 , 9 , 9 , 4 , 9 , 1 , 10 = 1, 4, 9, (9), 9, 9, 10
(median)
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Given the Ages of students: 9,9,9,4,9,1,10. State the median
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
[tex]\boxed{\begin{minipage}{7cm} Before finding the median, we\\ need to arrange \\ our data from least to greatest. \end{minipage}}[/tex]
Thus,
[tex]\bf{1,4,9,9,9,9,10}[/tex].
[tex]\fbox{The median is the number in the middle.}[/tex]
Thus,
[tex]\bf{9}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=9}[/tex]
Extra information [tex]\curvearrowright[/tex][tex]\begin{tabular}{c | 1} Data Parameter & What to Do \\ \cline{1-2} \\ Mean & Add all the numbers and divide by how many there are \\ Median & Arrange the numbers from least to greatest and take the number \\ & in the middle. Take the mean of the 2 numbers in the middle \\ & if there's an even amount of numbers \\ Mode & The number that occurs the most \\ Range & The largest number minus the smallest number \\ Minimum & The smallest value \\ Maximum & The largest value \end{tabular}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
hellp help
x =x=x, equals
^\circ
∘
degrees
The sum of the unknown angle and 33 degrees are supplementary. The measure of x is 147 degrees
Supplementary anglesThe sum of the unknown angle and 33 degrees are supplementary to have:
x + 33 = 180
Subtract 33 from both sides
x + 33 - 33 = 180 - 33
x = 180 - 33
x = 147degrees
Hence the measure of x is 147 degrees
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Answer:
Step-by-step explanation:
x + 33° = 180°
reason :( they are cointerior angle )
x = 180° - 33°
x = 147°
Use the given graph to determine the limit, if it exists. (4 points)
A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2.
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x. .
Does not exist; does not exist
1; 1
-2; 3
3; -2
Limit of x approaches two from the left of f of x: 3. Limit of x approaches two from the right of f of x: - 1 (negative 1)
How to find the value of the function as x approaches infinity (+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
In order to find the limit as x approaches two from the left of f of x:
Lim x→2- f(x) = ?
According to the graph, when x approaches two from the left (x<2), the function approaches 3:
Lim x→2- f(x) = 3
IN order to find the limit as x approaches two from the right of f of x:
Lim x→2+ f(x) = ?
According to the graph, when x approaches two from the right (x>3), the function approaches -1:
Lim x→2+ f(x) = - 1
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Joe paid $14 for a board game. this is 70% of the original price. what was the original price?
Step-by-step explanation:
It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.
Let the original price of board game be
X.
x * 70/100 = 14
x * 7/10 = 14
Multiply both sides by 10.
7x = 140
Divide both sides by 7.
x = 20
Which three pairs of measurements are possible side lengths for the triangle?
A
B
60°
F
AB=4, BC= 4√3
OBC= 2√3, AC=2
AB=3, AC=3√3
BC=10, AC= 4√3
AB=7, AC=14
AB=11, BC=11√3
30°
C
Answer:
Options (1), (5), and (6)
Step-by-step explanation:
See attached image
Three pairs of measurements which are possible side lengths for the triangle are,
1. AB = 4, BC = 4√3
5 AB = 7, AC = 14.
6. AB = 11, BC = 11√3
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, We get;
The sides of this triangles has lengths in the ratio x : √3x : 2x
where 2x is the hypotenuse.
Now, When C = 30, the side AB is the small leg (=x).
When B = 90, the hypotenuse is AC ( =2x).
When A = 60, the larger leg is BC (=√3x).
1. AB = 4, BC = 4√3 :- Are possible legs.
5 AB = 7, AC = 14. :- AB = small leg, AC = hypotenuse.
6. AB = 11, BC = 11√3:- AB = small, BC = larger leg.
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An adult gerbil at Fish 'n' weighed 1/5 lb. A young gerbil weighed 1/4 of that amount. How many did the young gerbil weigh?
Find the answer
a
b
c
d
Answer: a
Step-by-step explanation:
[tex]\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)}=\frac{\sqrt{x^{2}-1}}{\sqrt{x-1}}}=\sqrt{\frac{x^{2}-1}{x-1}}=\sqrt{\frac{(x-1)(x+1)}{x-1}}=\boxed{\sqrt{x+1}}[/tex]
100 POINTS!!!
PLEASE HELP ITS EZ :)
In 2.44 seconds lindsey be 30 feet in the air.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given:
y= -16x²+33x+45
If the height is 30 feet.
30= -16x²+33x+45
-16x²+33x+45-30=0
-16x²+33x+15=0
16x²-33x-15=0
Solving the quadratic equation
x=-b±√b²-4ac/ 2a
x= 33 ± √2049/32
x= (33+ √2049)/32 and x=33-√2049/32
x=2.44 and -0.3833
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Solve the following system of equations using elimination by eliminating the y variable
first.
5x + 2y = 3
2x + 3y = 10
The solution to the system of equations is x = -1 and y = 4
How to solve the system of equations?The system of equations is given as:
5x + 2y = 3
2x + 3y = 10
Multiply the first equation by 2 and the second by 5.
10x + 4y = 6
10x + 15y= 50
Subtract the above equations
10x - 10x + 4y - 15y = 6 - 50
This gives
-11y = -44
Divide by -11
y = 4
Substitute y = 4 in 5x + 2y = 3
5x + 2 * 4 = 3
This gives
5x + 8 = 3
Subtract 8 from both sides
5x = -5
Divide by 5
x = -1
Hence, the solution to the system of equations is x = -1 and y = 4
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What is the product of the...
Step-by-step explanation:
the answer is C) 8x^5y - 6x^4y^2
pls like and follow.
hope you understand as well
Which is an equation of the line through (0,0) and (2,-3)?
Answer:
y = -1.5x
How to build equation?
Given points: (0, 0), (2, -3)
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope \ (m) = \dfrac{-3-0}{2-0} = -1.5[/tex]
Then find equation:
[tex]y-y_1 = m(x - x_1)[/tex]
[tex]y - 0 = -1.5(x -0)[/tex]
[tex]y = -1.5x[/tex]
Answer:
y = (-3/2)x
Step-by-step explanation:
I am going to answer this question in slope-intercept form, which is y = mx + b (m is the slope, b is the y-intercept). The question already gives us the y-intercept, or the point at which the graph crosses the y-axis. It is (0, 0). Now, all we have to do is find the slope, which we can do using the following formula:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
In this formula, (x1, y1) and (x2, y2) are two points that are given to us [the first point is (0,0) and the second point is (2,-3). We can solve for the slope by plugging in:
[tex]m=\frac{-3-0}{2-0}=\frac{-3}{2}[/tex]
Now that we have m and b, we can plug into slope-intercept form to get our equation: y = (-3/2)x + 0 or y = (-3/2)x
4. In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
A team of 3 boys and 3 girls be selected from 5 boys and 4 girls in 40 ways
How to determine the number of ways?The selections are given as:
3 boys from 5 boys
3 girls from 4 girls
Each selection is calculated using:
[tex]^nC_r = \frac{n!}{(n- r)!r!}[/tex]
So, we have:
[tex]Ways = ^5C_3 * ^4C_3[/tex]
Apply the combination formula
[tex]Ways = \frac{5!}{2!3!} * \frac{4!}{1!3!}[/tex]
Expand
[tex]Ways = \frac{5 * 4 * 3!}{2 * 3!} * \frac{4 * 3!}{1 * 3!}[/tex]
Simplify
Ways = 5 * 2 * 4
Evaluate
Ways =40
Hence, the number of ways is 40
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A projectile is fired from the ground with an upward speed of 245 m/s. What is the maximum height of the projectile?
The maximum height of the projectile fired from the ground with an upward speed of 245 m/s is 3001.25 m
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The maximum height (H) of a projectile is given as:
H = u²/2g
Where u is the initial speed = 145 m/s, g is the acceleration due to gravity = 10 m/s²
H = 245²/ 2(10) = 3001.25 m
The maximum height of the projectile fired from the ground with an upward speed of 245 m/s is 3001.25 m
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11. (21x² - 6x +14) + (x²-3x+18)
Answer:
22x^2-9x+32
Step-by-step explanation:
(21x² - 6x +14) + (x²-3x+18)
To add, we need to combine like terms
21x^2+x^2 -6x-3x +14+18
22x^2-9x+32
Answer:
22x² - 9x + 32
Step-by-step explanation:
(21x² - 6x +14) + (x²-3x+18)
Get rid of the parenthesis:
21x² - 6x + 14 + x² - 3x + 18
Group like terms:
22x² - 9x + 32
true or false: prostulates are accepted as true without proof
Answer:
true
Step-by-step explanation:
Since their wise or intelligent guess
How many solutions exist for the system of equations graphed below?
Answer: one
Step-by-step explanation:
When a system of equations is graphed the solutions are the point of intersections. Here, we only have one point of intersection since these are both linear equations. That means there is only one solution.
the question is on the image
Answer:
nth term: 0.5n² + 2.5n + 3
Explanation:
pattern 1 = 6 bowls
pattern 2 = 10 bowls
pattern 3 = 15 bowls
pattern 4 = 21 bowls
First difference:
10 - 6 = 415 - 10 = 521 - 15 = 6Second difference:
5 - 4 = 16 - 5 = 1This is not an arithmetic nor a geometric sequence.
Solve:
2a = 2nd difference
2a = 1
a = 1/2 or 0.5
===================
3a + b = 1st difference
3a + b = 4
b = 4 - 3(1/2)
b = 2.5
====================
a + b + c = first term
1/2 + 2.5 + c = 6
c = 3
Quadratic nth term:
0.5n² + 2.5n + 3
How can you quickly determine the number of roots a polynomial will have by looking at the equation?
One can determine the number of roots by seeing the degree of the given polynomial.
The number of roots can be determined by just seeing the highest power of the given equation.
1) for the equation x-4=0
here, the highest power of the equation is one. So, it will have one root.
What is the polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on, and non-negative integer exponentiation of variables.
Let's check it by simplifying x-4=0 which implies x=4
Hence, the equation has only one root namely x = 4.
2) Consider a quadratic equation,
10t^2-t-3=0
here, the highest power of the equation is two. So, it will have two roots.
Let's check it by simplifying using the middle term splitting method,
10t^2+5t-6t-3=0
5t(2t+1)-3(2t+1)=0
(5t-3)(2t+1)=0
t=-3/5 or t=-1/2
Thus, the equation has two roots.
Hence, one can determine the number of roots by seeing the degree of the given polynomial.
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what is inversion transformation
Answer:
Inversión en una circunferencia es una transformación que conserva la magnitud de los ángulos pero cada ángulo se transforma en un ángulo de signo opuesto . El sentido o dirección de cada ángulo se invierte. La inversión en una circunferencia es una transformación anti-conforme(como la reflexión en una recta).
Step-by-step explanation:
El sentido o dirección de cada ángulo se invierte. La inversión en una circunferencia es una transformación anti-conforme(como la reflexión en una recta).
Answer:
inversion transformations are a natural extension of Poincaré transformations to include all conformal one-to-one transformations on coordinate space-time.
You are able to walk uphill at a speed of 2 miles per hour and downhill at a speed of 3 miles per hour. What does the graph represent?
Using a piece-wise function, the representation of the graph is given as follows:
Walking uphill for 3 hours and downhill for 1 hour.
What is a piece-wise function?A piece-wise function is a function that has multiple definitions, depending on the input.
In this problem, we have that:
For the first 3 hours, the slope is of 2 miles per hour, equivalent to walking uphill.For the final hour, the slope is of 3 miles per hour, equivalent to walking downhill.Hence the meaning of the graph is:
Walking uphill for 3 hours and downhill for 1 hour.
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if you can solve, i will give brainliest!
What is the sum of StartRoot 3 EndRoot – i and 2 – StartRoot 3 EndRooti?
(2 + StartRoot 3 EndRoot) – (1 –StartRoot 3 EndRoot )i
(2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
(2 + StartRoot 3 EndRoot) + (1 + StartRoot 3 EndRoot)i
(2 + StartRoot 3 EndRoot) + (1 – StartRoot 3 EndRoot)i
Answer:
(2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
Step-by-step explanation:
I'm 100% sure! ^^
Answer:
B: (2 + StartRoot 3 EndRoot) – (1 + StartRoot 3 EndRoot)i
Step-by-step explanation:
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