if R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43
Answers
The question is incomplete. Here is the complete question.
If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.
Answer: QS = 68 units
Step-by-step explanation: The figure below shows a line segment QT.
To determine QS, first, determine value of x:
RT = RS + ST
[tex]8x-43=2x-4+4x-1[/tex]
[tex]8x-43=6x-5[/tex]
2x = 38
x = 19
Now, we determine QS:
Midpoint is a point dividing a line segment in two equal parts.
Then, QR = RS.
QS = QR + RS
QS = 2RS
[tex]QS=2(2x-4)[/tex]
[tex]QS=4x-8[/tex]
Substituting x = 19:
[tex]QS=4.19-8[/tex]
QS = 68
The segment QS is 68 units.
Answer: x = 1
Step-by-step explanation:
I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.
Step 1: Draw a line containing all the points
R is in between point Q and point S, while T is last, based on alphabetical order.
Illustration:
2x - 4 Tx - 1
Q R S T
8x - 43
Step 2: Find T's value
To find t, create the substitution equation RS + ST = RT
2x - 4 + tx - 1 = 8x - 43
-2x -2x
-4 + tx - 1 = 6x - 43
tx - 5 = 6x - 43
tx = 6x - 38
tx/x = 6x/x - 38
t = 6 - 38
t = -32
This is the value of t
By the way, there is no correlation between point T and the variable t.
Step 3: Find x's value
Now that we know what t is, we can solve for x
2x - 4 -32x - 1 = 8x - 43
-30x - 5 = 8x - 43
+30x +30x
-5 = 38x - 43
+43 +43
38 = 38x
38/38 = 38x/38
1 = x
This is the value of x
Related Questions
The mean age of several boys in a class is 12. The total is 156. How
many boys are there?
Answers
Answer:
13
Step-by-step explanation:
156/12
answer fast!!!
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 32% of the seats in the theater. How many 6th graders went on the trip?
Answers
Answer:
992
Step-by-step explanation:
Answer:
38%
Step-by-step explanation:
1178 / 3100 = 0.38
38%
8
Find the circumference of the circle pictured above.
Round your answer to the nearest tenth
Answers
And when you plug in 8 into r you have 2pi(8)
When you solve it you should get 50.24
Can you pls mark brainleist
help pls
What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29
Answers
Answer:
Step-by-step explanation:
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answers
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
The science center has 300 people in attendance on Tuesday. This is 150 percent of the attendance on Monday. Natasha is trying to figure out how many people were in attendance on Monday. Her work is shown below.
StartFraction part Over whole EndFraction = StartFraction 150 Over 100 EndFraction
StartFraction 150 times 2 Over 100 times 3 EndFraction = StartFraction 300 Over question mark EndFraction
Since 150 times 2 = 300, then 100 times 3 or 300 people were in attendance on Monday.
What mistake did Natasha make?
Natasha should have multiplied 100 by 2.
Natasha should have divided 150 by 3.
Natasha should have added 150 and 300.
Natasha should have multiplied 300 and 150 percent.
Answers
Answer:
Natasha should have multiplied 100 by 2.
Step-by-step explanation:
part/whole = 150/100
(150 * 2)/(100 * 2) = 300/? is correct.
Answer: Natasha should have multiplied 100 by 2.
Whats the slope and how do i / where do i graph it
Answers
Pick any random points
(1,0) and (0,3)
(3-0)/(0-1) = 3/-1 = -3
The slope is -3
It is already graphed?
Answer:
The slope is 3. graph it every time the line hits an exact point
Step-by-step explanation:
1.5 m =_____ cm
a 15
b 0.015
c 1.5
d 150
Answers
Answer:
150
Step-by-step explanation:
Answer:
D.)150
Step-by-step explanation:
Hope I helped
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the line tangent to the graph of f at x=−1 ?
Answers
Answer:
The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - Intercept, dimensionless.
The slope of the tangent line at [tex]x = -1[/tex] is:
[tex]f'(x) = -3\cdot x +4[/tex] (2)
[tex]f'(-1) = -3\cdot (-1) +4[/tex]
[tex]f'(-1) = 7[/tex]
If we know that [tex]m = 7[/tex], [tex]x = -1[/tex] and [tex]y = 6[/tex], then the intercept of the equation of the line is:
[tex]b = y-m\cdot x[/tex]
[tex]b = 6-(7)\cdot (-1)[/tex]
[tex]b = 13[/tex]
The equation of the line tangent to the graph of f at x = -1 is [tex]y = 7\cdot x +13[/tex].
The sum of two numbers is 12.
When three times the first number is added to 5 times the second number, the result is 44.
Find the two numbers.
A 9 and 3
B) 8 and 4
C) 10 and 2
D) 7 and 5
Answers
Answer:
b
Step-by-step explanation:
8*3
=24
4*5
=20
20+24
=44
How would you graph the solution to 3x ≤ -15?
Draw an open circle on -5 and shade to the left.
Draw an open circle on -5 and shade to the right.
Draw a closed circle on -5 and shade to the left.
Draw a closed circle on -5 and shade to the right.
Answers
Answer: C) Closed circle at -5; shading to the left
The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.
The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.
Answer:
C) Closed circle at -5; shading to the left
Step-by-step explanation:
Use absolute value to express the distance between 10 and −4.
Answers
Answer:14
Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14
What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?
PLZ HELPP MEEE!!
Answers
Answer:
C.
Step-by-step explanation:
-2 is in front of x so thats gonna be the slope
and +3 is the y-intercept
6 x +4 + 10x - 9 + 8x - 7=
Answers
Answer:
24x - 12
Step-by-step explanation:
6x + 4 + 10x - 9 + 8x - 7
6x + 10x + 8x + 4 - 9 - 7
24x - 12
20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.
Step-by-step explanation:
Pretty much, dependent means it can’t be replaced and independent means it can be replaced.
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answers
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
simplify 32 L : 56L with whole numerator and denominator
Answers
Answer:
4L/7L
Step-by-step explanation:
32:56 is the same as 32/56
They can be divided by a maximum of 8
32/8=4
56/4=7
4/7
if 'HOPE' is called 3, ' GOVERNMENT' is called 9, ' PEACEFUL' is called 7, what would HAPPINESS 'be called??
Answers
Answer:
8
Step-by-step explanation:
Identifying the Pattern:
We are told that 'HOPE' is called 3
we can see that there are 4 characters in the word HOPE
So, we can see that the number is one less than the number of characters in the given word
Let's see if the observation we made still holds for the other Words:
We are also told that 'GOVERNMENT' is called 9
the number of characters = 10
Here, we once again notice that the code number is one less than the number of characters in our word
We are Given that 'PEACEFUL' is called 7
the number of characters = 8
Once again, our observation holds true
Hence, our observation holds true for all the words
Therefore, we can say with certainty that the pattern is:
code number = (number of characters of the word) - 1
Code number for 'HAPPINESS':
from the above, we know that:
code number = (number of characters of the word) - 1
we can see that 'HAPPINESS' has 9 words, plugging that value:
code number = 9 - 1
code number for 'HAPPINESS' = 8
Please help ASAP due soon I need help
Answers
Answer: 18
Step-by-step explanatio 18
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Answers
Answer:
This is a hw site pls dont post this, if you dont need help. I dont want your account to be deleted. :) Hope u have a great day tho, but in the future dont post this.
Step-by-step explanation:
I'm doing system of equations and I have to solve using substitution
the equations are y=5x and xy=45
Answers
x(5x) = 45
5x^2 = 45
Divide by 5
x^2 = 9
X = 3
Answer: +3, -3
Step-by-step explanation:
ok so all you need to do is plug in that first equation into the second one.
x(5x) = 45
5x^2 = 45
x^2 = 9
x = +3, -3
Please hurry. Please
Answers
Answer:
yes
Step-by-step explanation:
12p<=56
12*3<=56
36<=56
Correct.
Hope this helps :D
A quadratic equation is written as a system of two quadratic functions. Select the number of possible ways the graphs can intersect.
Answers
Answer:
can I see the opinions and I will come
Step-by-step explanation:
back and edit my question and answer it for you
Answer:
0, 1, 2, infinite
Step-by-step explanation:
Algebra!!!
3 Questions Only take if you know ALL Answers
PLZZZ QUICK
Answers
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
5(2y-3)-4y=8-2y-15
Justify each step with a property of algebra. Drag the property to the correct row.
Answers
5(2y-3)-3y=8-2y-15
10y-15-4y=8-2y-15
4y= 4y
———————————-
10y-15= 8+2y-15
15= 15
———————————
10y= 8+2y
-2y= -2y
———————————-
8y=8
—— —-
8 8
Y=1
4) What are all the subsets of (3, 5, 7)?
Answers
ANSWER: 1 is a subset of 3,5,7
Answer:
X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)
Step-by-step explanation:
suppose ,3=x ,5=y and 7=z
0 is the common number
Which one are functions
Answers
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
Answer:
its hard to see but I think all of them except the first and the last ones r
Step-by-step explanation:
an x can't repeat
Tony is spending money at a constant rate. Suppose he initially has $1000, and after 4 months, he has $760,
Which of these expresses the rate at which Tony's amount of money is changing?
Answers
Answer:
$60 monthlyStep-by-step explanation:
Step one:
The initial amount that Tony has= $1000
final amount =$760
amount spent= 1000-760= $240
time taken is 4 months
Step two:
Required:
the rate of spending
we know that rate= quantity/time
rate= 240/4
rate= $60 per month
Hence Tony's amount is changing at $60 monthly
Answer: -60
Step-by-step explanation:
I needs help with this question pls
Answers
Answer:
Is it A
Step-by-step explanation:
Please help me asap this was due 5 days ago
Answers
Answer:
do 9.60 divided by 12
Step-by-step explanation:
Answer:
$0.80
Step-by-step explanation:
All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.