Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Find the greatest common factor
Answer:
3x^2y^2
Step-by-step explanation:
I think:
3*2*x*x*x*y*y*y*y
3*3*x*x*y*y
3*6*x*x*x*y*y
They all have 3x^2y^2 in common.
PLZ HELP! Also, give an explanation. :)
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
What’s the answer to this question ?
Answer:
Step-by-step explanation:
[tex]\frac{3}{4} x \frac{8}{3} =2[/tex]
which one is the right graph
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
using trig to solve for missing angle
Answer:
[tex]58.99[/tex]
Step-by-step explanation:
[tex] \tan(61) = \frac{o}{a} \\3.74 = \frac{x}{17} \\ x = 17 \times 3.74 \\ = 58.99[/tex]
If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.
Step-by-step explanation:
A. Theta + 180 (when angle is less than 180)
Theta - 180(when angle is greater than 180)
Thus, 171 + 180 = 351°
B. I. Angle CBF + Angle BFG = 180 (Co interior angles)
CBF + 118 = 180
CBF + 118 –118 = 180 –118
CBF = 62°
Ii. 83 + X + CBF = 180 (Angles on a straight line)
83+X+62 =180
145+x=180
145–145+x=180–145
X = 35°
what is the volume of the cylinder
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.
Answer:
15
Step-by-step explanation:
AB+BC=AC
2X+3+(4X-11)
6X-8=28
6x= 36
x=6
then ab= 2(6)+3
=15
bc= 4(6)-11
=13
ac=ab+bc
=15+13
=28
result of 5 and 75 with dividid by 3
Answer:
your answer is 30
Step-by-step explanation:
I hope this help
Find the area of the following triangle. Round your answer to the nearest tenth.
Answer:
45.0
Step-by-step explanation:
you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0
Find the length of the segment indicated. Round to the nearest tenth
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
I'm unsure if I got the correct answer, mind if you help?
Answer:
Yes, you got the correct answer, it's y=-4
If all the books on a shelf with fewer than 45 books were put into piles of five books each, no books would remain. If the same book were put into piles of seven books each, two books would remain. What is the greatest number of books that could be on the shelf?
Answer:
Hence the greatest number of books that could be on the shelf is 30.
Step-by-step explanation:
Step 1:-
Here the given number of books is m,
m < 45.
If they are arranged into piles of five books, each no books would remain.
m is divisible by 5.
The last digit of m would be 5 or 0.
The same number of books, when arranged with piles of 7 books each, two books remain.
m-2 is divisible by 7.
Step 2:-
The last digit of m is 5 or 0.
m-2 will have the last digit 3 or 8.
Multiples of 7 are 7,14,21,28,35, 42;
among which only number 28 has the last digit 8 or 3.
m - 2 = 28
m = 30
The greatest number of books that could be on the shelf is 30.
Please answer this!!
Answer:
C, 5/12
Step-by-step explanation:
The tangent of an angle is defined as the side opposite to that angle divided by the side adjacent to that angle. The tangent of angle A would be equal to the value of side BC divided by side AB. The value of side BC is 5, and the value of side AB is 12. The answer is 5/12.
Answer: ∠A=[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Tangent is opposite over adjacent.
SEE IMAGE FOR QUESTION
Answer:
17The range is the difference of the greatest and smallest numbers:
5 - (-5) = 1018Semi-interquartile of the range is:
(Q3 - Q1)/2 = 12Since Q1 = 15, find Q3:
Q3 - 15 = 2*12Q3 = 24 + 15 = 39Note. Probably the numbers mixed up in the question.
If we swap them:
Q3 = 2*15 + 12 = 42 would be the correct answer. 19Given data:
3, 5, 7, 9, 11The mean:
(3 + 5 + 7 + 9 + 11)/5 = 7Variance, the average of the squared differences from the mean:
[(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 8A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?
Answer:
The area of tarpaulin is 1315.63 ft^2.
Step-by-step explanation:
height, h = 20 feet
circumference, C = 102 feet
Let the radius is r.
Circumference, C = 2 x 3.14 x r = 102
r = 16.24 feet
Let the slant height is L.
[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]
The curved surface area is
S = 3.14 x r x L
S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2
Answer:
400pi square feet
Step-by-step explanation:
Find the radius
Find the slant height
Put it in the formula for a cone but take the circumference part out
Divide your answer by pi
The question asks for the closest answer
400pi square feet is the closest option to 418.17pi square feet.
CAN SOME HELP PLS I NEED HELP PASSING PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]
SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.
Answer:
basically this is just 5! (five factorial) which is 120
the formal formula would be
n!/(n-r)! = 5!/(5-5)! = 5!/0! = 5! = 120
Step-by-step explanation:
The number of the ways that can be used to set the digital lock will be 120.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Decide if the following scenario involves a permutation or combination. Then the number of possibilities will be
You are setting the combination on a five-digit lock.
You want to use the numbers 12345, but you don't care what order they are in.
Then the number of the ways that can be used to set the digital lock will be
⇒ 5!
⇒ 5 x 4 x 3 x 2 x 1
⇒ 120
The number of the ways that can be used to set the digital lock will be 120.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ5
Can someone help me out thx
This is because the two chords are the same length, so they are the same distance away from the center.
We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.
Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.
Answer: $420
Step-by-step explanation:
40% of 1st year commission
1st year commission is $1050
40% x 1050 = .40 x 1050 = 420
$420
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
2-6=? need help please
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x2 – 12x + 6.
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
s
SO, LAST IS CORRECT
?ARK ME AS BRAILIEST
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal. a Show that the volume, V. of metal in a length.7 units, of the tube is given by V. = m(2R - 0). b Hence calculate V when R = 7.5.1 = 1 and l= 20
Complete question is;
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.
A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)
B) Hence calculate V when R = 7.5. t = 1 and L = 20
Answer:
A)V = πlt(2R - t)
B)V = 879.65
Step-by-step explanation:
A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h
Where;
R is outer radius
r is inner radius
h is height/length of tube
Now, we are told thickness is t.
Thus; R - r = t
Also, h = l
Thus;
V = π(R² - r²)h
Let's factorize this to get;
V = π((R + r)(R - r))l
V = π((R + r))lt
Since R - r = t
Then, r = R - t
Thus;
V = π(R + R - t)lt
V = πlt(2R - t)
B) when R = 7.5, t = 1 and l= 20;
V = πlt(2R - t)
V = π × 20 × 1(2(7.5) - 1)
V = 879.65
Can you check if this text is well written?
It's easy but I'm learning French. I appreciate your help.
Bonjour à tous, aujourd'hui je vais répondre à la question "Qui sont vos sportifs préférés ?
Je vais vous décrire ma athlète préféré et vous devriez y prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball o volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine péruvienne de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée o petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont brunes.
Elle a les cheveux brunes et courtes. Elle a les cheveux frisées aussi.
Ses yeux sont brunes comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1 mètre 85!
Elle est très grande
Bonsoir,
"Qui sont vos sportifs préférés ?
Je vais vous décrire mon athlète préférée et vous devrez prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball ou volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine du Pérou de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée ou petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont bruns.
Elle a les cheveux bruns , courts et frisés .
Ses yeux sont bruns( on dirait plutôt marron) comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1, 85m!
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x 3)2 4?left 3, up 4right 3, down 4left 3, down 4right 3, up 4
Answer:
Right 3, Down 4
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (x + 3)^2 - 4[/tex]
Required
The transformation from f(x) to g(x)
When a function is translated up by h units, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
So, we have:
[tex]f'(x) = (x + h)^2[/tex]
By comparison, h = 3. So:
[tex]f'(x) = (x + 3)^2[/tex]
When a function is translated down by h units, the rule is:
[tex](x,y) \to (x,y - h)[/tex]
So, we have:
[tex]g(x) = f'(x) -h[/tex]
By comparison, h = 4. So:
[tex]g(x) = (x + 3)^2 - 4[/tex]
Hence, the transformation is: 3 units right and 4 units down
pls help meee lookat the screenshot
The diagram shows that the total number of buttons with ¾ inch length is 3.
So, if she lines all the ¾ inches buttons, then the total length will be
= ¾ inches × 3
= 9/4 inches
= 2 ¼ inches
Multiply 3/4 by 3
3/4 * 3/1
3/4 * 12/4 = 36/16
36/16 = 9/4
Answer: 2 1/4
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )