Answers
Answer:
Step-by-step explanation:
Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:
[tex](6+x)^2+20^2} =(18+6)^2[/tex]
[tex](6+x)^2+400 =576[/tex]
[tex](6+x)^2=176[/tex]
Take the square root of both sides:
[tex]6+x=\sqrt{176}[/tex]
[tex]x=\sqrt{176} -6[/tex]
Moving on to the smaller triangle, we can find the value of 'y' to be:
[tex]6^2+y^2=18^2[/tex]
[tex]y^2+36=324[/tex]
[tex]y^2=288[/tex]
[tex]y=\sqrt{288}[/tex]
Related Questions
Write [tex]\frac{2}{7}x(1.4x^2-3.5y)[/tex] as a polynomial.
Answers
Answer:
[tex]0.41x^3-1.02xy[/tex] or [tex]0.4x^3-xy[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}x(1.4x^2-3.5y) < == convert\ \frac{2}{7}\ to\ a\ decimal\\\\0.29x(1.4x^2-3.5y) < ==distribute\ 0.29x\\\\0.41x^3-1.02xy[/tex]
Can also be written as: [tex]0.4x^3-xy[/tex]
Hope this helps!
Explain how to modify the graphs F(x) and g(x) to graph the solution to set the following system of inequalities. How can the solution set be identified? Y>x^2-1
Y<-x^2+4
Answers
The following rigid transformations are applied:
Reflection around the line y = -1.Translation 5 units in the +y direction.The solution set is found by the fact that the domain of quadratic functions is the entire real domain.
How to apply rigid transformations to understand the differences between two given functions
According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.
In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:
Reflection around the line y = -1.Translation 5 units in the +y direction.The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
if we know f(x), what would you do to find f(x+2)
Answers
Answer:
this is a transformation of the function meaning f(x) is our base f(x+2) is a transformation of f(x) by 2
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
given f(x) then to find f(x + 2)
substitute x = x + 2 into f(x)
Aaden has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs 40 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Aaden must make to earn a free movie ticket.
Answers
Answer:
20/2.5 =? (Answer is 8)
Step-by-step explanation:
Aaden needs 40 points.
He gets 20 at the start, just for signing up, so he needs only 20 now.
If he gets 2.5 points for each visit, after 8 days he will have been given 20 more points, allowing him to get a free movie ticket.
Brainliest please?
Help And thx ................................... MATH
Answers
[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]Answer:
Step-by-step explanation:
just substitute the coordinates into the inequality and solve it.
[tex](-4) > -(-4)-4\\-4 > 4-4\\-4 > 0[/tex]This is false, therefore, (-4,-4) is incorrect
[tex]0 > -(-4)-4\\0 > 4-4\\0 > 0[/tex]0 cannot be greater than 0, therfore (-4,0) is incorrect
[tex]-4 > -(0)-4\\-4 > -4[/tex]-4 cannot be greater than -4, therefore (0,-4) is incorrect
[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]4 is greater than 0 and therefore, (-4,4) is the correct answer
Alternatively, you can draw a graph of the inequality, by considering [tex]y=-x-4[/tex], drawing its graph, and substitute a point that's not on the line, for example, (0,0), to find the region the inequality is in. If the coordinate you substituted in solves the inequality, then the region you choose is the one that the point you substituted in lies in. If the inequality is incorrect, its the other region on the other side of the graph. Once that's done, you can observe if any of the coordinates listed in the question correspond correctly to the relative regions on the graph, and thus choose the correct answer from there.
cheers
PLEASE HELP ME FAST
What number should both sides of the following equation be multiplied by to solve for g?
G/2=4
6
8
2
4
Answers
Answer:
2
Step-by-step explanation:
G/2 = 4
(G/2) × 2 = 4 × 2
G = 8
5π
3
The value of cos-
is equivalent to
Answers
Answer:
[tex]\frac{5\pi }{3} = 0.5[/tex]
Step-by-step explanation:
5π/3 radians = 5π/3 × (180°/π) = 300°
⇒ cos 5π/3 = cos 5π/3 = cos(300°) = 1/2 or 0.5
A fundraising company sells 219 tickets to an event. Each ticket costs $27. How much money
does the company make on ticket sales in all?
Answers
Answer:
=$5,913
Step-by-step explanation:
219 times 27
= 5913
Select all that apply.
The bar graph below represents the following table, but the graph has at least one mistake. Choose the statements that describe what is wrong with the graph.
Answers
Answer:
The labels are switched
The "cloudy" bar is the wrong length
The "party cloudy" bar is wrong length
I hope my answer helps you.
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answers
Answer:
x = 13√3
y = 13
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
In order to make the long sides match, we need to multiply these by 13:
1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26
Matching values, we find ...
x = 13√3
y = 13
is 1 2/6 irrational or rational?
Answers
You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answers
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
Answer:
169
Step-by-step explanation:
Answer:
13 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
Now we need to find the square root!!
[tex]\sqrt{169}[/tex] = 13
Have an amazing day!!!
Please rate and mark brainliest!!
Explain how the distance formula can prove Pythagoras' Theorem. In your
explanation use the Pythagoras Theorem and how the distance formula can be used
with a right triangle when only given the hypotenuse.
Answers
Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:
[tex]c^2=a^2+b^2[/tex]
Thus,
[tex]c = \sqrt{a^2+b^2}[/tex]
The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.
[tex]d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2[/tex]
[tex]d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }[/tex]
Therefore when given the hypotenuse with endpoints at
[tex](x_{1}, y_{1}) and {(x_{2}, y_{2})[/tex]
We know that the third point of the right triangle will be at
[tex](x_{2}, y_{1})[/tex]
and that the two side lengths will be defined by the absolute values of:
[tex](x_{2} - x_{1}) = a[/tex]
[tex](y_{2} - y_{1}) = b[/tex]
Jane is participating in a
charity run. For each 5 miles
she runs, she will raise $30.
Answers
Chase brought 6 toys to school. That is 20% of all his toys. What is his total amount of toys?
Answers
Answer:
30
Step-by-step explanation:
20 % of his toys are 6. 20 % of a number could only be 100, 100 / 20 = 5
Multiply 5 by 6 and u get 30 :D
Help me answer this please:)
Answers
Answer:
A and B
Step-by-step explanation:
[tex]\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2[/tex]
Now, look at your answer choices, which options are less than or equal to -2?
x ≤ -2, Check your answers:
A. -3 ≤ -2?
This statement is correct (-3 is < -2)
B. -2 ≤ -2 <== our original answer
This statement is correct (-2 is = to -2)
C. -1 ≤ -2
This statement is incorrect (-1 is > -2, not ≤ -2)
D. 0 ≤ -2
This statement is incorrect (0 is > -2, not ≤ -2)
E. 1 < -2
This statement is incorrect (1 is > -2, not ≤ -2)
Therefore, the correct options are A and B
Hope this helps!
what is the simplified form of the polynomial expression shown -3x^2(x-y^2)-(y^3-5)-3y^2(x^2-4y)+4x^3
Answers
Answer: apply the distributive property to factor out the greatest cmoon factor of alll three terms
Step-by-step explanation: apply the distributive property to factor out the greatest cmoon factor of alll three terms
The owner of a video game store creates the expression −2x2 28x 20 to represent the store's weekly profit in dollars, where x represents the price of a new video game. choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine that price. −2(x − 7)2 118; x = $7 −2(x − 7)2 118; x = $118 −2(x2 − 14x) 20; x = $14 −2(x2 − 14x − 10); x = $10
Answers
The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm ax^2+bx+c=0[/tex] ........(1)
Where a, b, and c are the constants and
We have a quadratic expression:
[tex]\rm f(x)=-2x^2+28x+20[/tex]
Convert it to perfect square by perfect square trinomial:
[tex]\rm f(x)=-2(x^2+14x)+20[/tex]
[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex] (adding and subtracting by 49)
[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]
[tex]\rm f(x)=-2(x-7)^2+118[/tex]
Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so
[tex]\rm -2(x-7)^2=0[/tex]
x = $7
Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex] and the price is $7.
Learn more about quadratic expression here:
brainly.com/question/2263981
Answer:
First option A. −2(x − 7)^2 + 118; x = $7
Step-by-step explanation:
Took the test and it's correct, trust me :)
*PUZZLE*
Rules:
1: Put the number in the circle such that the sum of each line should be the same.
2: All numbers must be used.
3: All numbers use once
Numbers: 1, 2, 3, 4, 5, 7, 8, 9
Hint: The answer should be between
15- 25
Answers
Answer:
Step-by-step explanation:
What are the domain and range of the step function with the equation below?
fx)=-3[x]
The domain is all real numbers, and the range is all real numbers.
0 The domain is all integers, and the range is all integers that are multiples of 3.
O The domain is all real numbers, and the range is all integers that are multiples of 3.
The domain is all integers, and the range is all real numbers.
Answers
Answer:
he domain is all real numbers, and the range is all integers that are multiples of 3.
The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.
What is the domain and range of the function?The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.
On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.
Read more on domain and range;
brainly.com/question/26098895
#SPJ7
write the number in word form 4,651.93
Answers
Answer:
Four thousand six hundred fifty one point nine three
Hope this helps and please mark brainliest!
How much blue paint did they use in all?
Answers
Answer:
2.25 ounces
Explanation:
0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 Xso total used:
0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25The cost of shirts are 3 for $40.65 what is the unit cost per shirt?
Answers
Answer: $13.55 per shirt
Step-by-step explanation:
3 for $40.65
you must first divide 40.65 by 3 to find the cost of 1 shirt which the answer is $13.55. I hope this helps! Have a good day! :)
Since we are given the price of 3 shirts, we can work backwards to do $40.65 divided by 3 to get the unit cost per shirt, in which we get $13.55.
Glad to help!
I'd appreciate if you marked this as brainliest, if not I understand :)
What is the area of a circle whose radius is 6 ft?
6π ft²
9π ft²
36π ft²
72π ft²
Answers
Answer:
36π ft²
Step-by-step explanation:
Check out the attached photo
In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in², a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?
Answers
2*(15+18) + 2*151) + 2* (18H) = 540 + 30H + 36H
1.728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is
less than 18
A number is chosen at random from 1 to 12. Find the probability of selecting a prime number.
Answers
Answer:
1/2
Step-by-step explanation:
Prim number are 1, 2, 3, 4, 7, and 11. That is six numbers out of twelves, 6/12, is 50%.
Mr. Smith sold 2 homes last week. The first house sold for $225,000 and the second house sold for
$175,000. He earns a 3% commission on his total sales. How much did Mr. Smith earn?
Answers
Answer:
$ 12 000.
Step-by-step explanation:
(175 000 + 225 000) * .03 =
PLEASE HELP !!!!!!??
Answers
Answer:
( 1, 35 )
Step-by-step explanation:
y=mx+c
c= y-intercept ( where the graph line crosses the cross line)
c=0
mx = gradient ( rise/run, up/across )
mx = 175/5 ( you could have picked any point in the graph )
mx = 35
the m is useless now so we discard it
y= 35x+0
if x = 1
then y = 35(1)+0
y= 35
at the coordinate x=1 y is 35
help me!!! solve the inequality!! 8 ≤ x < 6