Rotate the triangle R(3,1), S(1,3), 7(4,5) 180° about the origin
Answers
Answer:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
Step-by-step explanation:
Rotations
Rotating a point of coordinates M(h,k) through 180° about the origin maps it to coordinates to M'(-h, -k).
The triangle has the vertices at R(3,1), S(1,3), T(4,5). After a rotation of 180° about the origin it maps to a new triangle with coordinates:
R'(-3,-1), S'(-1,-3), T'(-4,'5).
An image of both triangles is shown below.
Related Questions
If a number is not divisible by 10, can it be divisible by 20?
Answers
Answer:
no
Step-by-step explanation:
Answer:
No cannot
Step-by-step explanation:
what is 8x+6 simplified?
Answers
Answer:
4x+3
Step-by-step explanation:
8 and 6 are multiple of 2 so divide 8 /2 = 4 and divide 6/2=3
Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?
Answers
Express the area of the entire rectangle
Answers
Answer:
21x^4+56x^3+49x^2
Step-by-step explanation:
You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3
Witch equation is shown on the graph below
A. Y=2x
B. Y=2x+1
C. Y=2+x
D. Y=2x-1
Answers
1) The probability that an individual is left-handed is 12%. In a randomly selected class of 30 students, what is the probability of finding exactly 4 left-handed students?
2) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.
Answers
Answer:
0.2047
0.2377
Step-by-step explanation:
1.
What we have here is a binomial distribution
Probability p = 0.12
N = number of students in the class = 30
Probability of finding 4 left handers
P(x = 4) = 30C4 x (0.12)⁴ x (0.88)²⁶
= 27405 x 0.00020736 x 0.03602047835
= 0.2047
2.
This is also a binomial distribution
N = 10 p = 0.65
P(of 6 knowledgeable fans)
= 10C6 x (0.65)⁶ x (0.35)⁴
= 210 x 0.0754189 x 0.01500625
= 0.2377
It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?
Answers
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Step-by-step explanation:
From the question we are told that
The average time taken is [tex]\mu = 2.5 \ seconds[/tex]
The sample size is [tex]n = 30[/tex]
The sample mean is [tex]\= x = 2.7 \ seconds[/tex]
The standard deviation is [tex]\sigma = 1.4 \ seconds[/tex]
The null hypothesis is [tex]H_o: \mu = 2.5[/tex]
The alternative hypothesis is [tex]H_a : \mu > 2.5 \ seconds[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]
=> [tex]z = 0.7825[/tex]
From the z table the area under the normal curve to the right corresponding to 0.7825 is
[tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]
So from the question we see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that older people are slower
Need answers for 5 and 6 please it’s algebra math hurry please
Answers
5a) -2/3
5c) y = -2/3 + 2
6a) x intercept point is (4,0) and y intercept point is (0,2)
6b) -1/2
6c) im pretty sure it's y = -1/2 -2
The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?
Answers
Answer:
275n + 1000 = 2700
They will go 6 days on vacation.
Step-by-step explanation:
Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:
1000 + 275n = 2700
275n = 2700 - 1000
n = 1700/275
n = 6.18
Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.
Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD
Answers
Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.
A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)
The true identities are,
AB=CD
m∠ABC + m∠BCD = 180°
Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.
Learn more about the parallelogram here:
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What's the better buy: A) 5lb. bag of potatoes for $3.79 or a 2lb. bag
for $1.50?
Answers
Answer:
A 2lb. bag because 1.50 x 2 = 3.00$ plus the extra 1 lb which is 75c = 3.75 $
Step-by-step explanation:
Could i have branliest and heart please
explain how to evaluate f(g(0)).
Answers
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
The two triangles are similar.
Solve for h.
Give an exact answer.
Answers
Answer:
[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex] ( since they're similar, they are proportional to each other)
1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)
7.2 = 1.6h (divide both sides by 1.6)
h = 4.5 m (this is the answer)
Step-by-step explanation:
7,-6, 6 ___ ____>____ 1, ¼, ½ ____>____>____ -50,10,0 ____ _____>_____ -82,-93,-104 ____ _____>______ 11 ¼,11, 11 ½ ____ _____>______
Answers
Answer:0-0
Step-by-step explanation:
A math class surveyed students about their musical preferences an recorded the results in the table. Use tha data wtite a ratio for each comparison in three differents ways.
A) Students who preferer classical to students who prefer echno.
B) Students who prefer hip-hop to total number of students survyed
Table
Music Number .........Students
Rock .................................10
Classical........................... 4
Techno ............................12
Hip-Hop.......................... 15
Contry.............................. 8
Alternative...................... 4
Total Students.............53
Help Please
Answers
b) 15/53 30/106 60/212
send helpppppppppppp
Answers
Answer:
right bottom
Step-by-step explanation:
ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER
Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.
Select one:
a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.
b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.
d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.
Answers
Answer:
[tex]7 + (-8)[/tex]
Step-by-step explanation:
Given
[tex]7 - 8[/tex]
(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:
[tex]a = 7[/tex]
[tex]b = -8[/tex]
So, the expression can be represented as:
[tex]7 + (-8)[/tex]
(b): Number line representation
When the expression in (a) is solved.
The result is:
[tex]7 - 8 = 7 + (-8) = -1[/tex]
This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of [tex]7 - 8[/tex]
Hence, (a) is correct
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
Answers
PLZ ANSWER IF U KNOW THE ANSWER
Sadie is making a recipe that needs 3 1/4 cups of sugar. each scoop Sandy adds contains 1/8 cup of sugar. how many scoops does she needs to add for the entire recipe?
Answers
Answer:
D. 26
Step-by-step explanation:
3 1/4 as eighths is 26/8
Answer:
26
Step-by-step explanation:
Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?
Answers
Answer:
1 [tex]\frac{1}{2}[/tex] miles
Step-by-step explanation:
Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions
Subtract them like a regualr equation
[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]
Convert [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]
Um how do you solve for x?
Answers
Answer:
If you have an equation like "x - 5 = 20" rewrite the equation as x = 20 + 5 and solve for x, which 20 + 5 is 25.
Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.
B
Charlie can put 11 gallons of gas in his car for $38.65.
C
Charlie can put 14 gallons of gas in his car for $47.90.
D
Charlie can put 17 gallons of gas in his car for $56.95.
Answers
Answer:
A and D
Step-by-step explanation:
So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).
Which expression is equivalent to 2(3x+4)(x−1)(x−3)?
A
6x3−16x2−14x+24
B
6x3−4x2−34x−24
C
3x3−8x2−7x+12
D
6x3+20x2−2x−24
Answers
Answer:
A
Step-by-step explanation:
=(2(3x+4)(x−1))(x+−3)
=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)
=6x3+2x2−8x−18x2−6x+24
=6x3−16x2−14x+24
After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given expression in the question,
2(3x+4) (x−1) (x−3)
(6x + 8) (x² -3x - x + 3)
6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24
Now, collect similar terms and add them,
6x³ - 16x² - 14x + 24
To know more about arithmetic operations:
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35.408 in expanded form
Answers
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
Which of these angles can replace x in tan (x)?
A. □
B. None of these angles are correct.
C. φ
D. θ
Answers
Answer:
C. φ
Step-by-step explanation:
[tex]tan \phi \: = \frac{6}{5} \\ \\ tan x \: = \frac{6}{5} \\ \implies \: x = \phi[/tex]
Thus [tex] \Phi [/tex] can replace x
write -12 in a and b form
Answers
Answer:
whats ur question i dont understand
Step-by-step explanation:
idu
Answer:
thanks fOr the points
Step-by-step explanation:
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answers
Answer:
6
Step-by-step explanation:
hehdhrhrhrhrbrhhffh
Which equation represents the rental cost of the company with the least expensive hourly rate?
Answers
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
What is the end behavior of the polynomial function? (the oo are infinity signs lol)
A. As x --> -oo, y --> 5
B. As x --> oo, y --> oo
C. As x --> oo, y --> 7
D. As x --> -oo, y --> -oo
Answers
Answer:
D
Step-by-step explanation:
When it's talking about going to the infinity, negative or positive, it just means when the line is going down with no end on the graph (in regards to y because that would be a vertical amount aka up and down). When it's in regards to x, it's the same concept except if it's negative infinity for x, it's on the left side. And if it's positive infinity for x, it's on the right side.
Answer:
D
Step-by-step explanation:
