Step-by-step explanation:
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32 x = 16
ST = 5x = 80
So TU = 80
and SU=160
Answer: Second choice
Which of the following statements does not represent the same value as the others?
a) the distance between 0 and −9
b) the absolute value of negative 9
c) the opposite of 9the absolute value of 9
The statement that does not represent the same value as the others is 'the opposite of 9'
What is an absolute value of number?"It is the actual distance of the number from zero."
What is opposite of a number?"The opposite of number is a value which is an additive inverse of number.""The opposite of number 'a' is '-a'."For given question,
We need to find the statement which does not represent the same value as the others.
We find the value for each statement.
a) the distance between 0 and 9
The distance between 0 and 9 is 9.
b) the absolute value of negative 9
We know, |-9| = 9
So, the absolute value of -9 is 9
c) the opposite of 9
The opposite of 9 is -9.
d) the absolute value of 9
|9| = 9
So, the absolute value of 9 is 9.
Therefore, the statement that does not represent the same value as the others is 'the opposite of 9'
Learn more about the absolute value here:
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Please Help!!! 10 Points! Brainliest Answer
erwfehaitdryefjk evg5rmd fhbc tg8
Answer:
this the answer 4.5m
Step-by-step explanation:
formula 1/2(a+b)h
9514 1404 393
Answer:
18 square meters
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
The bases are the parallel line segments, and the height is the perpendicular distance between them.
A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2
The area of the trapezoid is 18 square meters.
1) Find the value of X if m < EDG= 112 degrees
Answer:
x = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
m < EDG = 112°
m < EDH = 6x – 9
m < HDG = 4x + 1
x =.?
Thus, we can obtain the value of x as shown below:
m < EDG = m < EDH + m < HDG
112 = 6x – 9 + 4x + 1
112 = 6x + 4x – 9 + 1
112 = 10x – 8
Collect like terms
112 + 8 = 10x
120 = 10x
Divide both side by 10
x = 120/10
x = 12
Therefore, the value of x is 12.
2(4m-5) - (6m+11) = 33
Answer:
-15
Step-by-step explanation:
[tex]2(4m-5)-(6m+11)=33[/tex]
[tex]8m-5-12m-22=33[/tex]
[tex]-4m-27=33[/tex]
[tex]-4m=60[/tex]
[tex]m=-15[/tex]
Hope this helps, have a great day:)
Does 0.63 terminate?
Answer:
No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)
Step-by-step explanation:
0.63 just stops at 0.63
Melina graphed a line which passes through the points (-4, 2) and (6, 8). What is the slope of the line?
Answer:
The answer is
[tex] \frac{3}{5} \\ [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, 2) and (6, 8)
The slope is
[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]
We have the final answer as
[tex] \frac{3}{5} \\ [/tex]
Hope this helps you
PLEASE HURRY, 20 POINTS
A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 feet. What is the width of the rectangle in feet? Enter your answer as a decimal in the box.
Answer:
[tex]2.4\text{ feet}[/tex]
Step-by-step explanation:
A rectangle's perimeter is given by the formula:
[tex]P=2(l+w)[/tex]
A rectangle's area is given by the formula:
[tex]A=lw[/tex]
We are given that they have the same numerical value. In other words:
[tex]2(l+w)=lw[/tex]
And we are also given that the length is 12 feet. So, substitute 12 for l:
[tex]2(12+w)=12w[/tex]
To solve for the width, we just need to solve for w.
On the left, distribute:
[tex]24+2w=12w[/tex]
Subtract 2w from both sides. The left side cancels:
[tex]24=10w[/tex]
Divide both sides by 10. Flip also:
[tex]w=\frac{24}{10}[/tex]
Reduce both layers. Use 2. So:
[tex]w=12/5=2.4[/tex]
So, the width is 2.4 feet.
And we're done!
Answer:
2.4
Step-by-step explanation:
Given: C-20= 4-3c
Prove: c= 6
Answer:
Step-by-step explanation:
just plug in c
6-20 = 4 - 3(6)
Find the midpoint between the lake of points. Make sure to simplify all fractions
Answer: The midpoint is MZ midpoint = (0.5,1)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)[/tex]
Write -2.32 as a mixed number in simplest form.
Answer:
- 2 8/25
Step-by-step explanation:
Hope this helps! If it does, please mark me brainliest because it will help me. Thank you so much! ;) :)
Answer:
-2.32 as a mixed number is -2 32/100 = -2 8/25
Solve for x: -6
A. 5
B. -5
C. -5>x>10
S.5>x>-10
What’s y-6=4(x+3) in slope intercept form?
Answer:
Step-by-step explanation:
y = 4x + 18
Find the distance between the two given points: (5, 9) and (13, -5). Round to the hundredths place.
Answer:
AB=
[tex] \sqrt{260} [/tex]
Step-by-step explanation:
plz mark as brainliest if it helps
Convert these decimals into fractions 0.49 and 4.542
Answer:
0.49 = [tex]\frac{49}{100}[/tex]
4.542 = 4 [tex]\frac{542}{1,000}[/tex]
Step-by-step explanation:
0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.
4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.
Hope this helps!
Write the slope-intercept form of the equation:
7x + 5y = -35
Answer:
[tex]y=\frac{-7x}{5} -7[/tex]
Step-by-step explanation:
[tex]7x+5y=-35\\5y=-35-7x\\y=\frac{-35-7x}{5} \\y=-7-\frac{7}{5} x\\[/tex]
or each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?
Answer:
6=[tex]\frac{c}{2}[/tex]+1
Step-by-step explanation:
anderson's $6 per hour is one half of carey's hourly rate, plus one.
Answer:
A)
6 = c/2 + 1
Step-by-step explanation:
edg2020
15+w=3w-11 then solve for w
Answer:
w=13
Step-by-step explanation:
Answer:
w =13
Step-by-step explanation:
[tex]15+w=3w-11[/tex]
Collect like terms
[tex]15+11 =3w-w\\[/tex]
Simplify
[tex]26 = 2w[/tex]
Divide both sides of the equation by 2
[tex]\frac{26}{2} = \frac{2w}{2}[/tex]
Simplify
[tex]13 = w[/tex]
Switch sides
[tex]w =13[/tex]
Your cell phone plan costs $34.99 per month plus $0.16 for each text message you send or receive. You have at most $42 to spend on your cell phone bill. What is
the maximum number of text messages that you can send or receive next month?
The maximum number of text messages is
HELP NOW PLEASE
Answer:
262.5 messages per month
Step-by-step explanation:
Cost of plan = $34.99
Cost per message = $0.16
Maximum bill = $42
Maximum # of messages = $42/$0.16 = 262.5
A robot can complete 8 tasks in
5
hour. Each task takes the same amount of time.
Answer:
if you're asking how long each task takes, it should take 37.5 minutes per task.
The graph shows the cost, C, of sending m text messages. What is the cost per message? A. $0.10 per message B. $0.15 per message C. $0.25 per message D. $0.05 per message
Answer:
$0.15
Step-by-step explanation:
3÷20=$0.15
I hope this helps
The cost per message is $0.15
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, a graph,
The graph is showing a straight line,
Considering a coordinate (3, 20),
That means, they cost $20 for 3 messages.
Therefore, for 1 message = 3/20 = 0.15
Hence, the cost per message is $0.15
For more references on unit rates, click;
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Solve for x:
6x + 9 = 4x + 25
Answer:
x = 8
Step-by-step explanation:
Solve for x:
6 x + 9 = 4 x + 25
Subtract 4 x from both sides:
(6 x - 4 x) + 9 = (4 x - 4 x) + 25
6 x - 4 x = 2 x:
2 x + 9 = (4 x - 4 x) + 25
4 x - 4 x = 0:
2 x + 9 = 25
Subtract 9 from both sides:
2 x + (9 - 9) = 25 - 9
9 - 9 = 0:
2 x = 25 - 9
25 - 9 = 16:
2 x = 16
Divide both sides of 2 x = 16 by 2:
(2 x)/2 = 16/2
2/2 = 1:
x = 16/2
The gcd of 16 and 2 is 2, so 16/2 = (2×8)/(2×1) = 2/2×8 = 8:
Answer: x = 8
What is the area of the arrow shown?
16 In
2 in.
DI
6 in
20 in
HELP ME PLEASE
Answer:
44 in
Step-by-step explanation:
Differentiate y=(sinx)(3x^2) please help please !
Answer:
6xsinx + 3x²cosx
Step-by-step explanation:
Differentiate using the product rule
Given y = f(x)(g(x) , then
[tex]\frac{dy}{dx}[/tex] = f(x)g'(x) + g(x)f'(x)
Here f(x) = sinx ⇒ f'(x) = cosx
g(x) = 3x² ⇒ g'(x) = 6x
Thus
[tex]\frac{dy}{dx}[/tex] = 6xsinx + 3x²cosx
(PLEASE ANSWER!!!! BRAINLEST!)) Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Answer the statement below as true or false. Segment CD is twice as long as segment FG.
True or False??
Convert the fraction into a percentage. 6 2 5 = %
Answer:
625%
Step-by-step explanation:
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
a. Write a formula for the perimeter of the indoor track
P=
b. Solve the formula for x.
x=
c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
the Johnsons are taking a cross country road trip. they plan to drive 1300 miles over two days, stopping for the night at the halfway point. How many hours will they drive for the first day if they average 65 mph over the course of the trip?
Answer:4
Step-by-step explanation:
Answer:
10 Hours
Step-by-step explanation:
1300mi divided by 2
= 650 Miles/65mph
= 10 Hours
Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]
Answer:
15
Step-by-step explanation:
The product of the prime factors of 3375 are
3375 = 3³ × 5³, then
[tex]\sqrt[3]{3375}[/tex]
= [tex]\sqrt[3]{3^3(5^3)}[/tex]
= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]
= 3 × 5
= 15
Which value has only 4 significant digits? a. 6.930 b. 8450 c. 0.392 d. 0.0450
Answer:
A 6.930
Step-by-step explanation: