Answers
The Definition Of a Midpoint says that is B is the
midpoint of segment AC, then segment AB ≅ AC.
Since segment AB ≅ segment BC, we can setup
the equation 2(3x - 1) = 8x - 20 and we can solve from here.
Start by distributing the 3 through the parenthses on the left side.
So we get 6x - 2 = 8x - 20.
Now subtract 8x from both sides to get -2x - 2 = -20.
Now add 2 to both sides and we have -2x = -18.
Finally, dividing both sides by -2, we find that x = 9.
If x = 9, segment BC must be 3(9) - 1 or 27 - 1 which is 26.
Related Questions
Create a quadratic function f(x), other than f(x) = x^2, and write it below. Then below the function, state the domain, range, x-intercepts, y-intercept, and f(3).
Answers
Answer:
[tex]f(x)=2x^{2}-3[/tex]
[tex]D=(-\infty,\infty)[/tex]
[tex]R=[-3,\infty)[/tex]
x-intercepts: [tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]
y-intercept: (0,-3)
f(3)=15
Step-by-step explanation:
A quadratic function is any polynomial function whose greatest power is a 2, so [tex]f(x)=2x^{2}-3[/tex] is a nice example of it.
For the domain, as a rule, polynomial functions that have positive whole degrees will be defined for all real numbers, so:
[tex]D=(-\infty,\infty)[/tex]
When talking about quadratic functions, its range will happen from the lowest point (in this case the vertex) to it's highest point (in this case infinity)
In order to find the vertex, we can use the following formula:
[tex]x=-\frac{b}{2a}[/tex]
which is used for quadratic equations in standard form:
[tex]y=ax^{2}+bx+c[/tex]
In this case a=2, b=0 and c=-3, so we get:
[tex]x=-\frac{0}{2(2)}=0[/tex]
Now we know that the range will happen at x=0, so we substitute:
[tex]f(0)=2(0)^{2}-3=-3[/tex]
so the range will be:
[tex]R=[-3,\infty)[/tex]
For the x-intercepts we need to set the given function equal to zero so we get:
[tex]2x^2-3=0[/tex]
and solve for x:
[tex]2x^{2}=3[/tex]
[tex]x^{2}=\frac{3}{2}[/tex]
[tex]x=\pm \sqrt{\frac{3}{2}}[/tex]
which can be rationalized to:
[tex]x=\frac{\sqrt{6}}{2}[/tex] and [tex]x=-\frac{\sqrt{6}}{2}[/tex]
so the x-intercepts are located at:
[tex](\frac{\sqrt{6}}{2},0)[/tex] and [tex](-\frac{\sqrt{6}}{2},0)[/tex]
For the y-intercept, we need to set x=0 so we get:
[tex]f(0)=2(0)^{2}-3[/tex]
[tex]f(0)=-3[/tex]
So the y-intercept is located at:
(0,-3)
and finally, in order to get f(3) we must substitute x for 3 so we get:
[tex]f(3)=2(3)^{2}-3[/tex]
f(3)=15
-5+9(r+8)
pls show me the work
Answers
(9^3)^2 Hurrrrryyyyyyyyyyyyyy
Answers
Answer: 531441
Step-by-step explanation:
Mt. Everest is 29,029 feet above sea level. The dead sea is 1,411 feet below sea level what is the difference between the elevations?
Answers
Answer:
30,440 feet
Step-by-step explanation:
You simply just add 29,029 and 1411 because if you picture it on a number line, 29,029 would be to get to zero as well as 1411 going up in elevation.
Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answers
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
Find the volume of the triangular prism
Answers
Answer:
your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want
6x-3 = 5x-5 any got a homie
Answers
Answer:
x= -2
Step-by-step explanation:
6x-3 = 5x-5
6x-5x=-5+3
x= -2
See my other articles for quiz and assignment in my site.
Just copy and paste "learningandassignments diy4pro" to google search engine.
Hope it helps.
I hope this helps! Here is the work! I did it on my computer!
There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.
Answers
Answer:
32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:
32
*19
-------
288
320
-------
608
Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:
32
*20
------
640
640
-32
-----
608
So, the answer is $608
Answer:
$608
Step-by-step explanation:
The answer is $608 because each ticket costs $19 and 32 students are going to the fair. Therefore, it's 32 x 19 = 608.
Hope this helps!
Convert 6 7/20
into a decimal
Answers
Hey there!
ANSWER: [tex]0.35[/tex]EXPLANATION:[tex]6 \frac{7}{20}[/tex] as a decimal
The percentage for 6 7/20 is 35%. So if that was the percent, then the decimal would be 0.35.
[tex]0.35(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
HELP ASAP PLEASE HELPPPPPPP PLEASE
Answers
Answer:
5 times 3
Step-by-step explanation:
you do 5 time 3. it is 15
how do u find the b in y=mx+b plz help
Answers
Answer:
b = y - mx
Step-by-step explanation:
Given
y = mx + b ( subtract mx from both sides )
y - mx = b
To play indoor soccer at the Sun Oaks Club, you must pay a $100 membership
fee, plus $10 for each hour you use the facilities. a) The function f represents the
cost of playing soccer at Sun Oaks depending on how many hours you play. The
function g represents the cost if the hourly rate were halved. Write each
function. *
Answers
Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
[tex]f(t)=100+10t[/tex]
So, the required function is [tex]f(t)=100+10t[/tex].
Now, if the hourly rate were halved. Then,
Hourly rate [tex]= \$ \dfrac{10}{2} = \$ 5 [/tex]
So, total variable cost is $5t and total cost function is
[tex]g(t)=100+5t[/tex]
So, the required function is [tex]g(t)=100+5t[/tex].
Why didn't the butterfly go to the dance? show your thinking!
Answers
Answer:
its math roll dont wory ill show with no math and explantion its just awnsers
Step-by-step explanation:
8 i
4 t
11 w
1 a
6 s
9 a
14 m
7 o
10 t
3 h
13 b
5 a
2 L
I couldnt get the last one but i did in the same order as it has it
To solve the question we used the criteria that the solution depends upon the sign, if negative number is greater than sign will be a minus .
if positive number is greater than sign will be a plus.
The sign while addition and subtraction depends on the larger number .
If negative number is greater than sign will be a minus .
if positive number is greater than sign will be a plus.
1.
A. -5+2=-3
B. 7+-3= 4
C. -4+-6=-10
2.
A. 1+-8=-7
B. -6+-12=-18
C. -2+9=7
3.
A. -7+6=-1
B. 5+-8=-3
C. 12+13=25
4.
A. -10+-10=-20
B. 17+-1=16
C. -11+5=-6
5.
A. 4+-9=-5
B. -7+-15=-22
C. -3+12=9
6.
A. 16+-8 = 8
B. -5+20=15
C. -6+6=0
Similarly we can do the remaining solutions.
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Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answers
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
Learn more about midpoints here:
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2(10 − 6) 2 + 3(12 − 10)
Answers
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
find the sum of the equation. 1000x+250x=?
Answers
Hey there!
ANSWER: [tex]1250x[/tex]EXPLANATION:To solve, you can just add 1000 + 250 and remove x.
[tex]1000+250=1250[/tex]
Now add x.
[tex]1250x[/tex]
[tex]1000x+250x=1250x(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Two lines are intersected by a third line.
Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
If Angle2 Is-congruent-to Angle6, which must be true about Angle2?
Angle2 Is-congruent-to Angle5
Angle2 is complementary to Angle5.
mAngle2 = mAngle8
Angle2 is supplementary to Angle8.
Answers
Answer:
Angle2 is supplementary to Angle8.
If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.
What are Congruent Angles?
This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.
With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.
Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.
Read more about congruent angles here:
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Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answers
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Please help, image is attached! Thanks.
Answers
When something is bisected, it is cut into two equal halves.
We know that SV cut RST into two parts.
Those two parts are RSV and VST
RSV = 64 and VST = 64
RST = RSV + VST = 64 + 64 = 128
The correct answer should be 128
Answer:
I.128
Step-by-step explanation:
Since SV bisected angle RST, the angle is split in two by equal parts, therefore RSV + VST = RST
64 + 64= 128
128°= RST
Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26, find x.
Yeah
Answers
Answer: x = 16
Step-by-step explanation:
PQ = 26
PM = 1/2 PQ (M is midpoint of PQ)
PM= 1/2x + 5 = 1/2 * 26
or x = 2(13 - 5) = 16
The value of x is 16 units.
What is a midpoint of a line ?The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.
(here y is replaced by n).
According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.
As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.
We know
PM + MQ = PQ
1/2x + 5 + 1/2x + 5 = 26.
x + 10 = 26.
x =16.
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Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a year
Answers
Answer:
1: 11982.79
2: 12136.31
4: 12216.09
12: 12270.46
365: 12297.10
Step-by-step explanation:
The compound interest formula is A=P*(1+r/n)^nt
P=principal amount
r=rate
n=number of compounds per period
t=number of periods
In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.
For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.
For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.
And so forth. Good luck
What’s the answer 40=16-8r ?
Answers
Answer:
-3
Step-by-step explanation:
40=16-8r
Subtract 16 from both sides.
24=-8r
Now divide by -8
-3=r
Answer:
-3= r
Step-by-step explanation:
40= 16- 8r
subtract 16 from both sides
40-16= 16 - 16 -8r
24= -8r
divide both sides by -8
24/-8 = -8r/-8
-3= r
Find the coordinate of the midpoint of the segment formed by the given points: (7, 11) and (3, -5)
Answers
Answer:
[tex]MP = (5,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)[/tex]
3/2a-8=11 URGENT ANSWERRRRRRR
Answers
Answer:
38/3
Step-by-step explanation:
3/2a-8=11
3/2a=19 add 8 to each side
i forget the rest of the steps smh
Answer:
38/3
Step-by-step explanation:
3/2A-8=11
3A/2=11+8
3A/2=19 CROSS MULTIPLY
3A=38
A=38/3
100 is how many more times than 10
Answers
Answer:
10 times greater, because 10x10=100
Step-by-step explanation:
Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.
Answers
Answer:
x = -1/6, x = -0.16
Step-by-step explanation:
A boat sailing at a speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?
Answers
Answer:
38.08mph
Step-by-step explanation:
The question tells us that the speed of
Speed of boat = 35mph
Wind blowing = 15mph
We have to use the pythagorean theorem in other to find the resulting speed.
So,
Speed² = 35² + 15²
Such that
Speed = √35² + 15²
Speed = sqr(1225 + 225)
Speed = sqr(1450)
Speed = 38.08
The approximate resulting speed of the boat is therefore 38.08mph
The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answers
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
Which two fractions are equal to 2?
A .1/2
B.2/4
C.2/1
D.2/2
E.4/4
Answers
Answer:
1/2 2/4
Step-by-step explanation:
Answer:
it is C. 2/1
Step-by-step explanation:
because 1 goes into 2 twice
HELPPPP I MARK BRAINLIEST TO CORRECT ANSWERS
Answers
Answer:
I think B option is correct ..I m 95% sure
Answer:i
the correct option is A
First we have to convert the 3 whole 8 /33 into a fraction so the method to do that is 33*3 =99 and then 99 +8 = 107 .The denominator will remain the same so we get 107 /33.Now by dividing 107 by 33 we get 3.242424