Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
4
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 38(x) ≤ 160
8 + 38x ≤ 160
38x ≤ 160 - 8
38x ≤ 152
x ≤ 152/38
x ≤ 4
The number of people that can go to the amusement park will be at most 4.
Hence the answer is 4.
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year
Answer: revenue from last year 20n
number of cards sold this year if students sell 200 more cards than last year n + 200
revenue this year if student sell 200 more cards than last year 20(n + 200)
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.
1.) Revenue from last year
Revenue = Number of tickets sold last year × Cost of each ticket
= n × $20
= 20n
2.) Number of cards sold this year if students sell 200 more cards than last year
Number of cards sold this year = Number of tickets sold last year + 200
= n + 200
3.) Revenue this year if students sell 200 more cards than last year
Revenue this year = Number of cards sold this year × Cost of each ticket
= (n + 200) × 20
= 20(n+200)
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
Choose the expression that correctly compares 0.501 and 0.051
Answer:
0.501>0.051
Step-by-step explanation:
Answer:
0.501 > 0.051
Step-by-step explanation: blah
SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST
Tom wants to spend a total of $245 on a hotel. The total cost per night at his hotel $37 the online booking company charges a one time fee of $60. a) write and equation to represent this problem $37
Answer:
60+37x=245
Step-by-step explanation
x = 5
Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his old job?
Answer:
20hours
Step-by-step explanation:
Old Job hours = 54 -34 = 20 hours
A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?
Answer:
$233.82
Step-by-step explanation:
$12.99 a ball times 18 players (12.99x18) equals 233.82$
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
Pick two points on the line
(0,1) and (1,2)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-1)/(1-0)
= 1/1
=1
what decimal is equivalent to 4/100 + 5/10
Answer: 0.54
Step-by-step explanation:
im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.
Which of the following statements are true regarding functions?
(Check all that apply)
A) The vertical line test may be used to determine whether a function is one-to-one
B) A function is a relation in which each value of the input variable is paired with exactly one value of the output variable
C) A sequence is a function whose domain is the set of real numbers
D) The horizontal line test may be used to determine whether a function is one-to-one
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
Step-by-step explanation:
A, B are right.
when checking that each x value has exactly one y value (B - that is the definition of a function), we need vertical lines to see that every vertical line has only one crossing point. A.
it is not C, because per definition a sequence is a function with the domain of natural numbers (or whole numbers incl. 0), and the range is the real numbers.
in other words, it is a numbered list of real numbers.
and it is definitely NOT D !
see A and B.
Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?
Answer:
The answer is $1,215
Step-by-step explanation:
I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!
HEYOOOOOO, HELLOOOO, PLEASE LOOK HERE, HELP NEEDED, LIKE NOW LOLOLOL Factor this expression completely, then place the factors in the proper location on the grid.
1/8 x^3 - 1/27 y^3
Answer:
1/8x³- 1/27y³
Step-by-step explanation:
1/216×(27x³-8y³)
1/216×(3x-2y)×(9x²+6xy+4y²)
1/216×(3x-2y)×(9x²+6xy +4y²)
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362
Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.
Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.
Answer:
faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?
Step-by-step explanation:
3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
Which method is best used to solve -2/3c=16
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 : -2/3
c = 16 . 3/-2
c = 8 . 3/-1
c = 8 . -3
c = -24
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 * 3/-2
c = -8 * 3
c = -24
Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
What is differentiation ?
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
Which of the following expresses (2.4 on going) as a fraction in simplest form?
2 and 1/4th
2 and 2/5ths
2 and 11/25ths
2 and 4/9ths
Answer:
2 and 4/9ths
Step-by-step explanation:
2 ⁴/9 is equal to 2.4 constant
) Use distributive property and solve
74×94
Answer:
6956
Step-by-step explanation:
i dont get the Question
What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
need help with this.
First one is for number 2 and vice versa.
a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?
a. y = 5x + 80 = 5*4 + 80 = 20 + 80 = 100
b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5
c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3
d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12