Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1
Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?
Answer:
There is a zero percent chance of him giving his friends two green pens.
Step-by-step explanation:
He only has One pen.
A point is one-dimensional
O A. True
O B. False
SUBMIT
Answer:
This is true.
Step-by-step explanation:
A point can only be on one dimension.
Answer:
FALSE
Step-by-step explanation:
i just took it
Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.
Answer:
Step-by-step explanation:
First derivative
[tex]12x^5+12x^3 -x^{-2}-2cos (2x)[/tex]
Second derivative
[tex]60x^4+36x^2+2x^{-3}+4sin(2x)[/tex]
Third derivative
[tex]240x^3+72x-6x^{-4}+8cos(2x)[/tex]
Fourth derivative
[tex]720x^2+72+24x^{-5}-16sin(2x)[/tex]
Find x.
A)7
B)7"2
C)"(14)
Answer:
x = 7
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
tan theta = opposite/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7
Divide each side by tan 45
x = 7/ tan 45
x = 7
Answer:
7
Step-by-step explanation:
It is a 45 45 90 triangle
meaning that the side lenghts will be x, x, x root 2
the hypotenuse will be x root 2, so that means that the side length will be 7
HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!
Answer:
A = $ 31,043.09
A = P + I where
P (principal) = $ 3,600.00
I (interest) = $ 27,443.09
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
What is the surface area of this shape? thank you :)
Answer:
105
Step-by-step explanation:
5x3=15
2x3=6
2x6=14+(4x1)=18
2x6=14+(4x1)=18
1x3=3
2x3=6
4x3=12
6x3=18
add all of them...
=105
if its right can u pls mark as brainliest?
The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².
What is rectangular prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2(lw + lh + wh)
Where l is length, w is width and h is height.
Given the data in the image;
For the first rectangular prism
Height h = 4cmLength l = 1cmWidth w = 3cmFor the second rectangular prism
Height h = 2cmLength l = 5cmWidth w = 3cmNow, surface area of the first rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)
S.A = 2( 3cm² + 4cm^2 + 12cm² )
S.A = 2 × 19cm²
S.A = 38cm²
Next, the surface area of the second rectangular prism is;
S.A = 2(lw + lh + wh)
S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)
S.A = 2( 15cm² + 10cm^2 + 6cm² )
S.A = 2 × 31cm²
S.A = 62cm²
Total surface area TSA = 38cm² + 62cm²
T.S.A = 100cm²
Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²
Learn more about area of prisms here: https://brainly.com/question/17351910
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The midpoint of the coordinates (7,9) and (12,11) is ______.
A. (9.5, 10)
B. (13, 12)
C. (19, 20)
D. none of the above
Answer:
The answer is option a.
Step-by-step explanation:
=(7+12/2 , 9+11/2)
=(19/2, 20/2)
= ( 9.5 , 10)
Hope this helps.
What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621
Answer:
a=7
Step-by-step explanation:
7(a – 10) = 13 – 2(2a + 3)
Open the bracket
7a-70=13-4a-6
Collect like terms
7a+4a=13-6+70
11a=77
divide both sides by 11
11a/11=77/11
a=77/11
a=7
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me
Answer: 8:11
Step-by-step explanation:
5 and 3 is Hari's ages.
5+3=8 (Now Hari is 8 ages)
7 and 4 is Harry's ages.
7+4=11 (Now Harry is 11 ages)
Ratio is 8:11
Answer:
Harry is 11 and Hari is 8
Step-by-step explanation:
5:7+3:4=8 and 11
A toy store marks down every toy by 15% in June. How much does a toy cost during June?
Answer:
since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation:
Find the slope of a line that crosses through (-5,-2) and (9,3)
5 / 14
if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))
help help help helphelp h;i
Answer:
2
Step-by-step explanation:
It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.
Answer:
I got 2
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME OUT PLEASE I WOULD APPRECIATE IT VERY MUCH
Answer:Decreasing
Step-by-step explanation:
Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .
PLATO USERS!
Select the correct answer from each drop-down menu.
cos(420°) =
sin(450°) =
Answer:
see below
Step-by-step explanation:
cos(420°) = cos 60 = 1/2
sin(450°) = sin 90 = 1
Answer:
See below in bold.
Step-by-step explanation:
cos (420) = cos (420 - 360)
= cos 60
= 1/2.
sin 450 = sin(450-360)
= sin 90
= 1.
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
Which number produces an irrational number when multiplied by 0.4?
Answer:
B unless it isnt
Step-by-step explanation:
B- some long decimal
(It’s pi. I hate pi.)
what’s the best answer ?????
Answer:
zero
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The line is horizontal and parallel to the x- axis
Since the x- axis has a slope of zero then the line has a slope of zero.
Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.
Answer: 7bb +19 ll ≥210
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)
Mathematically speaking:
7 bb + 19 ll ≥210
This is urgent can someone please help.......
Quentin typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?
A)73 yards
B)20 yards
C)53 yards
D)126 yards
A cone shaped tepee has a radius of 4 feet and a slant of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.
A)Joe is shorter than the tepee.
B)Joe is taller than the tepee.
C)Joe is the same height as the tepee.
D)There is not enough information to determine if Joe is shorter or taller than the tepee.
Which of the following could NOT be the side lengths of a right triangle?
A)3 - 4- 5
B)5 - 12 - 13
C)8 - 9 - 10
D)9 - 40 - 41
Answers are c, a, and c
Answer:
1. A
2.C
3.C
Step-by-step explanation:
For f(x)= 4x+1 and g(x) = x^2 -5, find (f g)(x).
O A. 4x2 -19
O B. 4x3 + x2 - 4x -6
O C. 4x3 + x2 - 20x-5
O D. 4x3 + x2 - 5x -5
Answer:
The answer is option c.
4x³ + x² - 20x - 5
Answer:
C
Step-by-step explanation:
Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.
Answer:
Step-by-step explanation:
2.54 centimeters = 1 inch
15.24 centimeters = 6 inches
I don't know what other relationships they want :)
I don't know how to find the value of x in the isosceles triangle.
Answer:
x=4
Step-by-step explanation:
split the triangle into two and you will get another smaller triangle as shown in what I have drawn
so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it
so by Pythagoras theorem, 5^2= 3^2 + x^2
then you can solve for x
Half the sum of a number and 5
Help please!! Anyone??
Answer:
38
Step-by-step explanation:
180-142=38
Answer:
180-142 (supplementary angles)
38
If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?
Answer:
y = x
Step-by-step explanation:
The graph of f(g(x)) is the straight line y = x.
help me VERY FAST !!!!!!!!
Answer:
A
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x , y ) → (- y, x ) , thus
X(1, - 1 ) → X'(1, 1 )
Y(3, 4 ) → Y'(- 4, 3 )
Z(5, - 1 ) → Z'(1, 5 ) → A
Answer:
A
Step-by-step explanation:
X(1, - 1 ) → X'(1, 1 )
Y(3, 4 ) → Y'(- 4, 3 )
Z(5, - 1 ) → Z'(1, 5 ) → A
Which expression is equivalent to 121 - x^2
Answer:
(11-x)x(11+x)
Step-by-step explanation:
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
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