Answer:
Slope =6
Step-by-step explanation:
The given equation is in the form: y = mx + b
Here, m is the slope & b is y-intercept
y = 6x + 2
m = 6
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.
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]
Gwen owes a total of $4,522.50 on revolving credit accounts thar have total limits of $7,950.00. Calculate the amount she needs to pay on her revolving credit accounts to reach a 25% debt-to-credit ratio.
$1,922.50
$2,100.00
$2,517.50
$2,535.00
*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
Answer:
Step-by-step explanation:
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
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
Help me answer this please:)
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!
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
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
5π
3
The value of cos-
is equivalent to
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
+8 opposite value of integers
Answer:
-8
Step-by-step explanation:
The opposite of a positive integer is a negative integer so it must be -8
is 1 2/6 irrational or rational?
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
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 :)
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.
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.
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?
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!
Jane is participating in a
charity run. For each 5 miles
she runs, she will raise $30.
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
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
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
Answer:
2
Step-by-step explanation:
G/2 = 4
(G/2) × 2 = 4 × 2
G = 8
Snow Crest is 11,920.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. can you please help me?
Thank you
Answer:
685
Step-by-step explanation:
so if you have $86 and if that cost up to $1 and that would equals 685
I need help with this
Answer:
A) 38,000
B) 28.6%
Step-by-step explanation:
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?
Write [tex]\frac{2}{7}x(1.4x^2-3.5y)[/tex] as a polynomial.
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!
Help And thx ................................... MATH
[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
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.
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?
Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?
7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR
Answer:
B
Step-by-step explanation:
12:
BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
if we know f(x), what would you do to find f(x+2)
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)
A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434 blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs. What percentage of the gumballs are red?.
Answer:
%26
Step-by-step explanation:
We can set up a proportion to find out what percentage of the gumballs are red:
[tex]\frac{525252}{232323+525252+343434+616161+303030} =\frac{x}{100}[/tex]
[tex]\frac{525252}{2020200} =\frac{x}{100}[/tex]
[tex](525252)(100)=2020200(x)[/tex]
[tex]\frac{(525252)(100)}{2020200} =x[/tex]
[tex]26=x[/tex]
Since we set up x as a fraction of 100 when writing the proportion we can say that the percentage of red gumballs is %26.
help me!!! solve the inequality!! 8 ≤ x < 6
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 26 miles, what percentage of the trip’s distance have they completed?
Group of answer choices
Can someone please help me? :(
Answer:
561 is the surface area
Step-by-step explanation:
11 x 11 is the base area which equals 121. The height is 10 and the base is 11 for the triangles so it is 11 x 10 which equals 110. We multiply that number by 4 to equal 440. 440 + 121 equals 561 so 561 is the surface area.
Answer:
341Step-by-step explanation:
((10 x 11)/2) x 4
=220
220+11 x 11
220 + 121=
341
Find c.
Write your answer in simplest radical form.
Answer:
c = 3.46
Step-by-step explanation:
use tangent to find c
2 tan 60 = c
firstly label the sides
let me know if you need further explanation on how I got my answer
How much blue paint did they use in all?
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?
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 :)