Answer:
I'm not graphing, but I can describe the reflection as R', S', T', U':
R' = (-3, 1)
S' = (-2, 0)
T' = (-1, 2)
U' = (-2, 2)
Step-by-step explanation:
y = -1 is the line one unit below the x axis (the x axis is y=0).
To reflect any point across y=-1, we just need to leave the x coordinate as was, but the (new y) will be -2-(old y)
R = (-3, -3), R' = (-3, -2+3) = (-3, 1)
S = (-2, -2), S' = (-2, -2+2) = (-2, 0)
T = (-1, -4), T' = (-1, -2+4) = (-1, 2)
U = (-2, -4), U' = (-2, -2+4) = (-2, 2)
i need help with this?
i’m so confused
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
Which of the following expressions are equivalent to 63? Check all that are true.
Answer:
A & E
Step-by-step explanation:
Main equation: [tex]6^{3} = 216[/tex]
A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]
B. 18
C. [tex](6^{1})^{2} = 36[/tex]
D. 81
E. 6 * 6 * 6 = 216
F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]
Hope this helps!
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The circumference of a circle is 47 in. Find its diameter, in inches.
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Circumference of the circle = 47 inch.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The diameter of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in
[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in
Now,
[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]
= 2 x 7.477 in
= 14.954 in
= 15 in ( round to nearest whole number )
Therefore, the diameter of the circle is 15 inch.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
The diameter of the circle is approximately 14.97 inches.
We have,
To find the diameter of a circle given its circumference, we can use the formula:
Circumference = π * Diameter
Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:
Diameter = Circumference / π
Substituting the given circumference into the formula:
Diameter = 47 / π
Calculating the value:
Diameter ≈ 14.97 inches
Therefore,
The diameter of the circle is approximately 14.97 inches.
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You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13.34
Step-by-step explanation
Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)
3^2+13^2= sqrt(178) = 13.34166= 13.34
What is the value of z in the equation 3z+9=z?
PLease help me with this math qestion
Answer:
n+3 = 15 ; n = 12
3n -6 = 12; n=6
Step-by-step explanation:
more than means it comes after
a number
n
3 more than
n+3
is 15
n+3 = 15
Subtract 3 from each side
n+3-3 = 15-3
n = 12
Subtract from comes after
three times a number
3n
six subtracted from
3n -6
is 12 means equal to
3n -6 = 12
To solve add 6 to each side
3n -6+6 =12+6
3n = 18
Divide by 3
3n/3 =18/3
n =6
Answer:
A = 3 - x = 15 B = 6 - 3 times x = 12
Step-by-step explanation:
Explain how u got the answer!
Answer: 525
Step-by-step explanation:
1000 dogs in 2013 and 4500 dogs in 2016
15 percent in animal shelters
(4500-1000)x0.15 = 525
Crawling Crayfish!
Big Claw, the crayfish, challenged Flicker to a 60 em race. Since Big Claw is much
larger, he offered to give Flicker a 10 cm head start Flicker agreed and the race
began. After 5 seconds, Big Claw had crawled 6 cm and Flicker had crawled 4 cm.
If they continue at this rate, who do you predict will win the race? justify your
prediction
How many seconds have elapsed when Big Claw and Flicker are tied?
Answer: Crayfish, 25 s
Step-by-step explanation:
Given
The length of race is 60 cm
Flicker gets a 10 cm head-start
Cray fish covers 6 cm in 5 s i.e. its speed is
[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]
Flicker covers 4 cm in 5 s, its speed is
[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]
Time taken by Cray fish to cover the race is
[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]
Time taken by flicker to cover race with 10 cm head start
[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]
Time taken by crayfish is less. Hence, crayfish wins the race
When they both covers the same distance, they tied momentarily i.e.
[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]
After 25 s, they tied the race.
Which domain would make the list of ordered pairs a function? {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)}
Hope this help!!!
Have a nice day!!!
The required domain would make the list of the ordered pairs are-4 and 5.
Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.
Thus, the required domain would make the list of the ordered pairs are -4 and 5.
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A force of 4 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length
Answer:
the work done in stretching the spring from its natural length is -1.8 ft.lb
Step-by-step explanation:
Given the data in the question;
From Hook's law, the magnitude of force applied on a spring is expressed as follows;
|F| = k|x|
where F is the force applied the spring, k is the spring constant, x is the length extension
Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft
we substitute
4 = k × 0.4
k = 4 / 0.4
k = 10 lb/ft
Also, Hook's law can be expressed as follows;
F = -kx ---------- let this be equation 1
Now, work done by a force applied between two points is expressed as follows;
dW = Fdx ----------- let this be equation 2
substitute equation 1 into equation 2
dW = (-kx )dx
we integrate both side
∫(dW) = ∫((-kx )dx)
W = -k∫xdx
W = -k[tex]\frac{x^2}{2}[/tex]
w = -[tex]\frac{1}{2}[/tex]kx²
we substitute 10 lb/ft for k and 0.6 ft for x
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²
w = -1.8 ft.lb
Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb
Short Response
Shantelle wants to rent a mid-size car for one day. Value Rent-a-Car charges $20 a day plus $0.20 per
mile, and Best Rent-a-Car charges $30 a day plus $0.10 per mile for rental of the same mid-size car.
Part A) Write an equation in slope intercept form, y=mx+b, for each car:
Value Rent-a-Car: y=0.20x+20
Best Rent-a-Car: y=0.10x+30
Part B: Determine the mileage where the rental charges are the same.
9514 1404 393
Answer:
100 miles
Step-by-step explanation:
A. The answers shown are correct
__
B. Equate the values of y and solve for x.
0.20x +20 = 0.10x +30
0.10x = 10 . . . . . . . subtract (20+0.10x)
x = 100 . . . . . . . . divide by 0.10
The rental charges are the same for 100 miles.
How do I solve this math problem? The answer is: x = a^2/a-3
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the surface area of the rectangular prism shown below?
A: 159
B: 294
C: 318
D: 378
(All squared)
if Tom had 78 apples and he gave to the shop for 80% and he put it on sale for another 10% what many apples would Tom get in the end?
Answer:
he has to many apples
Step-by-step explanation:
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Bill can hit a bucket of 323 golf balls in 17 hours.
How many golf balls can Bill hit in 23 hours?
The cost of a piece of furniture is calculated as follows:
Wood: Rs.300, Paint: Rs.200 and wages Rs.200
If the cost of the wood and paint are increased by 12% and 7% respectively, find the new cost of the furniture.
Answer:
Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.
Step-by-step explanation:
If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?
Answer:
I'm pretty sure they spent $22.50
Step-by-step explanation:
do (1÷6)×(90) then multiply 15 and 1.50
In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?
Answer:
ST is 28
Step-by-step explanation:
Using the similarity formla
RL/LS = LM/ST
3/12 = 7/x+2
3(x+2)=84
x +2= 84/3
x+2 = 28
x= 28-2
x = 26
ST = x+2
ST = 26+2
ST = 28
Hence the length of ST is 28
What is the awnsers helppppp
Answer: 0.77
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.
if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?
6 +7 ( □ +7 5) = 1
help me pls
Answer:
Can't be possible.
Step-by-step explanation:
Given:
6+7(x+75)=1
So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.
Which equation best matches the graph shown below?
Answer:
y=0.5(x+6)(x+5)
Step-by-step explanation:
Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.
in order for the parallelogram to be a rhombus x=?
Answer:
x = 12
Step-by-step explanation:
In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent
2x + 35 = 8x- 37
6x = 72
x = 12
5(a^6+2a^5)-6a(5a^4-7a^3)
Answer:
a4(5a2−20a+42)
Step-by-step explanation:
Factor 5(a6+2a5)−6a(5a4−7a3)
5a6−20a5+42a4
=a4(5a2−20a+42)
Make me brainliest!
If x = 0 and y > 0, where is the point (x, y) located?
Answer:
upper half y axis
Step-by-step explanation:
If x = 0 we are on the y axis. If y >0 we are on the upper half of the y axis
what's the formula of finding an area of a room?
Answer:
For a square or rectangular room you will need the length and width
Then you multiply I.e length x width gives Area
bye :-)
You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?
Answer:
The correct answer is - 26 sums for pulling few coins.
Step-by-step explanation:
Given:
coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)
Different sums of money = ?
Formula: Different combination of items can be calculated with the help of a formula of combination that is -
nCr = n! / ((n – r)! r!)
where, n = total number of items
r = number of item in a set
solution:
In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.
a. for set of 2 coins
= 5! / ((5 – 2)! 2!)
= 20/2
= 10 combination of sums
b. for the set of 3 coins
= 5! / ((5 – 3)! 3!)
= 10
C. for 4
= 5! / ((5 – 4)! !)
= 5
d. for 5 coins
only 1 sum
thus, the total types of different sums = 10+10+5+1
= 26.
solve the system of equations y=x-7 y=x^2-9x+18
9514 1404 393
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
Equating expressions for y, we have ...
x^2 -9x +18 = x -7
x^2 -10x +25 = 0 . . . . . add 7-x to both sides
(x -5)^2 = 0 . . . . . . . . factor
The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...
y = x -7 = 5 -7 = -2
The solution is (x, y) = (5, -2).
please help me find the area
Answer:
17,290 yd2
Step-by-step explanation:
I rlly don't know how u were taught to solve it but what I did was multiply all the sides
Evaluate:
2n=1(3n + 2) = [?]
Answer:
n = -2
Step-by-step explanation:
2n = 3n + 2
-n = 2
n = -2