Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?
B'C' = √17
C'D' = √10
D'D' = 5
A'B' = √17
Answers
Related Questions
I really need help on all of these please
Answers
the adjacent is the part of the angle that connects with the hypotenuse to form the angle. So in the 1st triangle the hypotenuse along with segment XZ forms angle Z. That means that XZ is the adjacent.
To identify the opposite, you find the segment that connects the adjacent to the hypotenuse.
SO in the 1st triangle, segment XY connects the adjacent XZ with the hypotenuse. So that means that XY is the opposite of angle Z.
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PLEASE EXPLAIN IT.....
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THX
Answers
CHECK MY ANSWER??
Which statement describes the first step to solve the equation by completing the square? 3x^2 + 18x= 21
A. Multiply both sides of the equation by 19.
B. Add 81 to each side of the equation.
C. Add 9 to each side of the equation.(MY ANSWER)
D. Multiply both sides of the equation by 13 .
Answers
3 x^2 + 18 x = 21
Subtract 21 from both sides:
3 x^2 + 18 x - 21 = 0
3 x^2 + 18 x - 21 = 3 (x^2 + 6 x - 7):
3 (x^2 + 6 x - 7) = 0
Divide both sides by 3:
x^2 + 6 x - 7 = 0
x = (-6 ± sqrt(6^2 - 4 (-7)))/2 = (-6 ± sqrt(36 + 28))/2 = (-6 ± sqrt(64))/2:
x = (-6 + sqrt(64))/2 or x = (-6 - sqrt(64))/2
sqrt(64) = sqrt(2^6) = 8 = 8:
x = (-6 + 8)/2 or x = (-6 - 8)/2
(-6 + 8)/2 = 2/2 = 1:
x = 1 or x = (-6 - 8)/2
(-6 - 8)/2 = -14/2 = -7:
Answer: x = 1 or x = -7
point j has coordinate (-2,8) and point r has coordinates (-7,-3. find the coordinate of point A that partition line segment JR in the ratio of 5:2
Answers
[tex]\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ j(-2,8)\qquad r(-7,-3)\qquad \qquad \stackrel{\textit{ratio from \underline{j} to \underline{r}}}{5:2} \\\\\\ \cfrac{j\underline{A}}{\underline{A} r} = \cfrac{5}{2}\implies \cfrac{j}{r} = \cfrac{5}{2}\implies 2j=5r\implies 2(-2,8)=5(-7,-3)\\\\ -------------------------------[/tex]
[tex]\bf A=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\ -------------------------------\\\\ A=\left(\cfrac{(2\cdot -2)+(5\cdot -7)}{5+2}\quad ,\quad \cfrac{(2\cdot 8)+(5\cdot -3)}{5+2}\right) \\\\\\ A=\left(\cfrac{-4-35}{7}~~,~~\cfrac{16-15}{7} \right)\implies A=\left( -\cfrac{39}{7}~~,~~\cfrac{1}{7} \right) \\\\\\ A=\left( -5\frac{4}{7}~~,~~\cfrac{1}{7} \right)[/tex]
Help please asap
1. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.
A. (5x + 7) and (-x - 2)
B. (5x + 7) and (x - 2)
C. (5x - 7) and (x - 2)
D. (5x - 7) and (x + 2)
2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring
A. 2x - 5 and 3x + 4
B. -2x - 5 and -3x + 4
C. 2x + 5 and 3x - 4
D. 2x - 5 and 3x - 4
Answers
1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.
Answer: 5x^2 -3x -14
Explanation:
You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.
I will show you how to factor that polynomial from zero:
1) given: 5x^2 - 3x - 14
2) multiply and divide by the leading coefficient =>
5 [5x^2 - 3x -14 ]
----------------------
5
3) Enter the the factor 5 inside the parenthesis:
5.5x^2 - 5.3x - 5.14
--------------------------
5
4) rearrange conviniently to show (5x) as a common factir of the first two terms
(5x)^2 - 3(5x) - 70
--------------------------
5
5) factor the numerator using 5x as common term of the two binomials:
(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70
=>
(5x - 10)(5x + 7)
---------------------
5
6) divide (5x - 10) by 5 => x - 2
7) factored expression
(x - 2) (5x + 7)
8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)
2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring
Answer: option C. (2x + 5)(3x - 4)
Explanation:
The procedure is the same of the question 1.
1) given: 6x^2 + 7x - 20
2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>
(6x)^2 + 7(6x) - 120
--------------------------
6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:
(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)
=>
(6x + 15)(6x -8)
---------------------
6
(6x + 15)(6x - 8)
---------------------- =
3.2
(6x + 15) (6x - 8)
------------- . ------------ =
3 2
(2x + 5)(3x - 4)
4) answer: option C. (2x + 5)(3x - 4)
The possible dimensions for the rectangular carpet with an area represented by the trinomial 5x^2 - 3x - 14 are (5x + 7) and (x - 2). For the barnyard with area 6x^2 + 7x - 20, the dimensions are (2x - 5) and (3x + 4).
To find the possible dimensions of the rectangular carpet with area 5x^2 - 3x - 14, we need to factor the trinomial. Factoring the trinomial, it is evident that we need two numbers whose product is -70 (5 * -14) and whose sum is -3. Factoring the trinomial we get (5x + 7)(x - 2), so the possible dimensions of the carpet are (5x + 7) and (x - 2), which corresponds to option B.
Similarly, to determine the dimensions of a barnyard with area 6x^2 + 7x - 20, we again factor the trinomial. We are looking for two numbers that multiply to -120 (6 * -20) and add up to 7. Factoring yields (2x - 5)(3x + 4), so the possible dimensions of the barnyard are (2x - 5) and (3x + 4), which corresponds to option A.
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?
A. G(x) = 4x2
B. G(x) = -1/4x2
C. G(x) = -4x2
D. G(x) = 1/4x2
Answers
In other words if y = ax^2 then a must be greater than 1
If it is flipped over the x axis then the answer is C.
Answer:
The correct option is C.
Step-by-step explanation:
The given function is
[tex]F(x)=x^2[/tex]
The transformation of the function is defined as
[tex]G(x)=kF(x)[/tex]
If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.
It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.
The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).
[tex]G(x)=-kF(x)[/tex]
Where must be greater than 1.
In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.
[tex]G(x)=-4F(x)[/tex]
Therefore the correct option is C.
what is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm
Answers
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
area = 2,284.1
the sum of two number is 10. the difference between the numbers is 4. what are the two numbers.
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You buy boxes of strawberries at the market. Each box costs $ 6 Write an equation for the number of dollars, d, you spend on b boxes.
Answers
Answer:
Step-by-step explanation:
You pay \blueD{\$6}$6start color blueD, dollar sign, 6, end color blueD for each box of strawberries. The number of dollars you spend depends on \goldD bbstart color goldD, b, end color goldD, the number of boxes of strawberries you buy.
To find the number of dollars you spend on strawberrries, we can use the equation \maroonD d=\blueD6\goldD bd=6bstart color maroonD, d, end color maroonD, equals, start color blueD, 6, end color blueD, start color goldD, b, end color goldD.
Johns father is 2 meters tall how many meters tall how many centimeters tall is johns father
Answers
Answer: He is 6'5
Step-by-step explanation: He is 6'5 because 2 meters it equal to 6'5
The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 part
a.what is the y-intercept of the function, and what does this tell you about the bird? part
b.calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. part
c.what would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest?
Answers
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
Suppose the line of best fit is being found for some data points that have an r-value of 0.876. If the standard deviation of the x-coordinates is 5.559, and the standard deviation of the y-coordinates is 7.163, what is the slope of the line to three decimal places?
Answers
Answer: 1.129
Step-by-step explanation:
In statistics, the slope of the line is given by :-
[tex]b=r\dfrac{\sigma_y}{\sigma_x}[/tex],
[tex]\text{where r is correlation coefficient,}\\\sigma_y\text{ is standard deviation of the y-coordinates,}\\\sigma_x\text{ is standard deviation of the x-coordinates,}[/tex]
[tex]\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163[/tex]
Now, the slope of the line will be :-
[tex]b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129[/tex]
Hence, the lope of the line to three decimal places =1.129
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
If a line crosses the y-axis at (0,8) and has a slope of -1/8,what is the equation of the line?
A.y= 1/8x+8
B.y=-1/8x-8
C.y=8x-8
D.y=-1/8x+8
Please help me!!!!!!
Answers
the slope is always connected to the x, and "b" is the y axis point of the two coordinate pairs, so it would be minus eight if the coordinate pairs were (0, -8).
[tex]y = mx + b[/tex]
m= slope
b= y axis point of the two coordinate pairs
Answer:
d
Step-by-step explanation:
A globe in a brass stand has a diameter of 40 in . what is the volume of the globe to the nearest cubic inch?
Answers
2* 3.14* 20 = 125.6in cubed
Don't forget to put 2 above inches for volume.
--------------------------------------------------------------------
Formula: Volume of a sphere
--------------------------------------------------------------------
[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]
--------------------------------------------------------------------
Given Diameter, Find Radius
--------------------------------------------------------------------
Diameter = 40 in
Radius = 40 ÷ 2 = 20 in
--------------------------------------------------------------------
Apply Formula
--------------------------------------------------------------------
[tex]Volume \ of \ the \ sphere = \frac{4}{3} \pi (20)^3[/tex]
[tex]Volume \ of \ the \ sphere = 33510 in^3[/tex]
--------------------------------------------------------------------
Ans: Volume of the Globe is 33510 in³
--------------------------------------------------------------------
If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers
Answers
The bigger number is 5x
5x(x) = 180
5x² = 180
x² = 180÷5
x²=36
x=√36
x = 6
x=6
5x = 6 x 5
5x = 30
So the two numbers are 6 and 30
A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high. Approximately how much salsa did Kelly eat? Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³
Answers
A 565 cm
Answer:
Ok the answer is 565 but I'm going to break it down for those who wanna know how
Step-by-step explanation:
So first let's just assume the jar is a cylinder which means to use the formula
[tex]V=\pi r^{2} h[/tex]
They saved you time of having to finf the Radius and such
firstly, we're gonna solve before she eats all that salsa lol
r = 6
h = 11
we're gonna substitute 3.14 for pi
of course you'll solve for it which you'll get
v = 1243.44
now you need to find the volume after she eats the salsa which the only difference is that the height will be 6 instead of 11
substitute
solve and you'll get
678.24
now that you have the volume of before and after she eats the salsa all you need to do is subtract to find the difference
1243.44 - 678.24
which you'll get
565!
Hope this helps!
How do u do question 25. How do u find the measure of X?
Answers
now, arc's get their angle measure from the central angle they're in, in this case, "x" is the central angle, and therefore, it has the same measure of 360° - 250°.
Help see the picture
Answers
697 rounds to 700
89 rounds to 90
90 x 700 = 63000
hope i could help
Place the indicated product in the proper location on the grid.
(5c +2/3 )(5c -2/3 )
Answers
25c^2-4/9
Explanation
In this question you are expected to expand (5c+2/3)(5c-2/3)
(5c+2/3)(5c-2/3)=(5c×5c)-(5c×2/3)+(5c×2/3)-(2/3×2/3)
=25c^2-10c/3+10c/3-4/9
25c^2-4/9
The expanded form of (5c+2/3)(5c-2/3) is 25c^2-4/9 and this is what the question requires of you to do.
Answer:
The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]
Step-by-step explanation:
given : The polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]
We have to place the indicated product in the proper location o the grid.
Consider the given polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]
Apply identity of difference of square
[tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]
We have,
[tex]=\left(5c\right)^2-\left(\frac{2}{3}\right)^2[/tex]
Simplify, we have,
[tex]=25c^2-\frac{4}{9}[/tex]
Thus, The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]
Location on gris shown below.
Help me please.....
3.you have a mortgage payment of $1,248.90/month. Using proportions, what is the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range?,
Answers
To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, set up a proportion using 30% of the mortgage payment and solve for x.
Explanation:To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, we can use a proportion. Let's assume that the acceptable range for housing expense is 30% of your income.
First, we need to find the total monthly income that corresponds to 30% of the mortgage payment. We can set up a proportion:
x/1248.90 = 30/100
Cross-multiplying, we get:
100x = 30 * 1248.90
Simplifying, we find:
x = (30 * 1248.90)/100 = $374.67
Therefore, the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range is $374.67.
fourteen less than three fourths of a number is negative eight
Answers
After solving it...
x = 8
Hope this helps
14+8 = 3/4x
22 = 3/4x
88 = 3x
88/3 = x
A yoga membership costs $16 and an additional $7 per class. Write a linear equation modeling the cost of a yoga membership.
y = 16x + 7
y = 7x + 16
y = 23x + 7
y = 23x + 16,
Answers
What is the slope of the line that contains the points (4,-1) and (-1,4)?
Answers
proof:
slope formula: Y2-Y1/X2-X1=Slope (M)
4,-1 will be our x1,y1 and -1,4 will be our x2,y2
plug in numbers into formula: 4-(-1)/ -1-4
simplify you get 5/-5
simplify again and your answer is -1!!!
If its wrong im sorry
Answer:
-1
Step-by-step explanation:
what are the answers to all of these questions?
Answers
N 11)
a) graph the equation y=x²-3x-10
using a graph tool
see the attached figure
b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5
see the attached figure problem 11
N 12) what is the value of x in the equation?
3x²=7x
3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0
x1=0
3x-7=0------> 3x=7------> x=7/3
the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12
N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6
N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0
using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0
the values of x are
x1=-3/2
x2=4
What is the measure of ∠ABD?
27°
54°
114°
124°
Answers
we know that
An exterior angle is equal to the sum of the two non adjacent angles
so
In this problem
[tex](4n+6)\°=2n\°+60\°[/tex]
Solve for n
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex](4n-2n)\°=(60-6)\°[/tex]
Combine like terms
[tex]2n\°=54\°[/tex]
[tex]n=27\°[/tex]
Find the measure of angle ABD
∠ABD=[tex](4n+6)\°[/tex]
Substitute the value of n
∠ABD=[tex](4*27+6)\°=114\°[/tex]
therefore
the answer is the option
[tex]114\°[/tex]
Answer:
the answer is 114
Step-by-step explanation:
hope i helped all of you guys and girls
On a circular playground, the distance from its center to the edge of the playground is 35 feet. What is the approximate circumference of the playground?
Answers
Hope this hels!
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation
Answers
It would be 2 + 1x. The y intercept is 2, and every unit, you would multiply those numbers together. For example, if the x axis is 6, then you would do 2 + 6 which is 8 on the y axis and etc.
Answer:
its D
Step-by-step explanation:
Solve for x in the equation x^2+10x+12=36.
A. x = –12 or x = 2
B. x = –11 or x = 1
C. x = –2 or x = 12
D. x = –1 or x = 11
Answers
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.
To solve the equation x^2+10x+12=36, subtract 36 from both sides and factor or use the quadratic formula to find the solutions. The solutions are x = -12 or x = 2.
Explanation:To solve the equation x^2+10x+12=36, we need to bring all terms to one side of the equation and then factor or use the quadratic formula. Subtracting 36 from both sides gives us the equation x^2+10x-24=0. We can then factor this equation as (x+12)(x-2)=0. Setting each factor equal to zero, we find that x = -12 or x = 2.
Learn more about Solving quadratic equations here:https://brainly.com/question/32403169
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Please help me. I'm confused. Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form a^n=b*^n-1, determine the value of B. B= (choices are 2, -2, 5, -5)
Answers
Answer:
-2
Step-by-step explanation: