Answer:
x^2-x / 20
Step-by-step explanation:
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x^{2} -1}{16x} \times \frac{4x^{2} }{5x + 5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{(x+1)}(x-1)}{16x} \times \frac{4x^{2} }{5\cancel{(x + 1)}} \quad\quad(a^2-b^2 = (a+b)(a-b))\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x-1}{\cancel{16x}} \times \frac{\cancel4x^{\cancel2} }{5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{(x -1)(x)}{4\times 5} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf \frac{x^2-x}{20} \\\end{gathered} [/tex]
More Identities:-[tex]\begin{gathered}\boxed{\sf{ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ {(a - b)}^{2} = {a}^{2} + {b}^{2} -2ab \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ {x}^{2} - {y}^{2} = (x + y)(x - y) \: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a + b)² = (a - b)² + 4ab\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a - b)² = (a + b)² - 4ab\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a + b)² + (a - b)² = 2(a² + b²)\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf{ (a + b)³ = a³ + b³ + 3ab(a + b)\: }} \\ \end{gathered}[/tex]
[tex]\begin{gathered}\boxed{\sf {(a - b)³ = a³ - b³ - 3ab(a - b)\: }} \\ \end{gathered}[/tex]
Three sisters, whose average age is 10, all have different ages. When they get together in pairs, the average ages of two such pairs are 11 and 12. What is the age of the eldest sister?
The age of the eldest sister is 16 years.
What is an equation?An equation is used to show the relationship between two or more variables and numbers.
Let x represent the age of the older sister and y, z represent the other sisters ages.
Three sisters, whose average age is 10, all have different ages. Hence:
(x + y + z)/3 = 10 (1)
Also, When they get together in pairs, the average ages of two such pairs are 11 and 12, hence:
(x + y)/2 = 11 (2)
(x + z)/2 = 12 (3)
From equation 1, 2 and 3:
x = 16, y = 6, z = 8
The age of the eldest sister is 16 years.
Find out more on equation at: https://brainly.com/question/18176080
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answer:
b
Step-by-step explanation:
Answer:
(-1, -1)
explanation:
The value of y will be negative and x value shall be same.
Here the original coordinates of A: (-1, 1)
So new coordinates: (-1, (-)1) = (-1, - 1)If x = 8 and y = -3, evaluate the following expression: 20 - 5y + 2x
Answer:
51
Step-by-step explanation:
Given the following question:
[tex]20-5y+2x[/tex]
[tex]x=8[/tex]
[tex]y=-3[/tex]
Substitute and solve using PEMDAS:
[tex]20-5y+2x[/tex]
[tex]20-5(-3)+2(8)[/tex]
[tex]5\times-3=-15[/tex]
[tex]20--15+2(8)[/tex]
[tex]2\times8=16[/tex]
[tex]20-(-15)+16[/tex]
[tex]20--15=35[/tex]
[tex]35+16=51[/tex]
[tex]=51[/tex]
Your answer is "51."
Hope this helps.
A box contains 5 red, 3 white, and 2 blue marbles. A sample of six marbles is drawn with replacement; that is, each marble is replaced before the next marble is drawn. Find the probability that: (a) 3 are red, 2 are white, 1 is blue, (b) 2 are red, 3 are white, 1 is blue, (e) 2 of each color appear
Answer:
i dont know but i'll try
Step-by-step explanation:
10-6=4
2 each color
i think because if you divide 4 divided by 2 is 2.
SO i thought wait oh no dont copy this rate it as bad as you want but im just a ---- grader
Which expression shows a sum of five terms? (3 points)
5(x + 5)
5x
x5
5 + x + 5 + x + x
5.
Answer:
5 + x + 5 + x + x
Step-by-step explanation:
We are given 4 expressions and we have to determine which expressions shows a sum of five terms.
We use the process of elimination:
5(x + 5)
=5x+25 (distributing 5)
This contains sum of only two terms, eliminate.
5x
It contains only 1 term, eliminate.
5 + x + 5 + x + x
It contains 5 terms 5,x,5,x and x, KEEP!
5.
Only contains 1 term, eliminate.
With this said, were left with:
5 + x + 5 + x + x
Which is the correct answer! :)
Which number is not in scientific notation? (1 point)
0.2 • 10^3
3 • 10^28
1.03 • 10^–2
1.5 • 10^–6
Answer:
Hi I'm always here to help!!!
_______________________
Ah welp that was wrong it was A
Sorry that I was wrong
_______________________
Have a great day!!!!
Answer:
Your answer would be:
A.) 0.2 x 10^3
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The length and the breadth of a rectangle are 40 m and 30 m respectively. If its perimeter = perimeter of a square. Find the side of the square
Answer:
above is the solution to the question
Yolanda is driving on a highway. She uses one gallon of gas every 20 miles she drives. The distance, D (in miles), she travels on g gallons of gas is given by the
following
D=20g
How far does Yolanda drive if she uses 5 gallons of gas?
Answer:
1g=20d so 5g=100d
Step-by-step explanation:
If it is 20 MPG, then, to find it for 5 gallons of gas, we have to multiply 20 by it. So, we have to do - 20x5
20x5=100
So hence, Yolanda drives 100 miles on the highway using 5 gallons of gas.
Thanks!
Josephine is constructing a circle circumscribed about triangle XYZ. She uses the following sequence of steps to construct the circle.
1. She constructs the perpendicular bisectors of two sides.
2. She finds their point of intersection, P.
3. She uses a compass, with the fixed end on X, to draw a circle passing through point P.
Did Josephine make any errors while constructing the circle?
OA. Yes, she should have placed the compass with the fixed end on P and drawn a circle through point x.
OB. No, she did not make any errors.
OC.
Yes, she should have constructed the angle bisectors.
ज
OD.
Yes, she should have found the perpendicular bisectors of all 3 sides.
Answer:
A
Step-by-step explanation:
there is not much more to say.
the point where actually all 3 line bisectors intersect, is also called the "circumcenter". I guess you understand what that means : it is the center of the circle circumscribing the whole triangle (passing through all 3 corners/vertices).
once you find that point with 2 line bisectors, there is no need to construct the third - it WILL intersect the others at the same point.
Answer:
A
Step-by-step explanation:
e
Which describes the horizontal cross section of
the given right rectangular prism?
A. A rectangle with dimensions of 15 inches and 16
inches.
B. A rectangle with dimensions of 15 inches and 7
inches.
C. A rectangle with dimensions of 9 inches and 15
inches.
D. A rectangle with dimensions of 9 inches and 7
inches.
The horizontal cross section of a rectangular prism would have the same shape and size as the rectangular base.
What is a prism?A prism is a three dimensional shape with two parallel bases of the same shape and the other faces which are quadrilateral.
A rectangular prism has the shape of a cuboid. The horizontal cross section of a rectangular prism would have the same shape and size as the rectangular base.
Find out more on prism at: https://brainly.com/question/23963432
if danielle still drove 24 miles on the eight day how many miles would tim need to drive to make the median amount of miles that tim and danielle drove the same?
Answer:
the answer would be she would drive 192 miles
Worth 10 points please help me
Answer:
x = 100°
Step-by-step explanation:
40 + 40, the bottom two angles, = 80. a triangle has 180 degrees in total. 180 - 80 = 100. the missing angle of the bottom triangle is 100. since the bottom 100 is a vertical angle to the x, x must equal 100 degrees
Judy and Amna are on a safari. They are standing 20 feet apart when they spot a snake. Judy and Amna run in opposite directions at speeds of 180 feet per minute and 120 feet per minute, respectively. In how many minutes will they be 2420 ft apart?
Using proportions, it is found that Judy and Amna will be 2420 ft apart after 8 minutes.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
They run in opposite directions, at speeds of 180 feet per minute and 120 feet per minute, respectively, hence each minute they get 180 + 120 = 300 feet apart.
They already are 20 feet apart, so they will need to get more 2420 - 20 = 2400 ft apart. Hence:
1 minute - 300 ft apart.
x minutes - 2400 ft apart.
Applying cross multiplication:
300x = 2400
x = 8.
Judy and Amna will be 2420 ft apart after 8 minutes.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ2
Find the area of trapezoid ABCD by decomposing it into a rectangle and triangle.
A)80 cm^2
B)96 cm^2
C)104 cm^2
D)112 cm^2
Answer:
c) 104
Step-by-step explanation:
The angles in a triangle are in the ratio 1:2:3.
a) Show that the triangle is a right-angled triangle.
Answer:
Step-by-step explanation:
Remark
The angles can measure
x + 2x + 3x
The total must be 180 degrees because all triangles have 180 degrees
Equation
x + 2x + 3x = 180 Combine
6x = 180 Divide by 6
6x/6 = 180/6
x = 30
1x = 30
2x = 60
3x = 3*30 = 90
A right angle triangle has 90 degrees.
Solve the following:
(i)20 ÷7
(ii) 22÷7
Answer: i) 2.85714285714, ii) 3.14285714286
Step-by-step explanation:
i) 20/7 = 2.85714285714
ii) 22/7 : This is an approximation for pi. it comes to: 3.14285714286
I am trying Find the surface area of a prism or cube and it only has 3.5
need help on this graph
PLEASE HELP ASAP
What is 7/8 expressed as a percent? Enter your answer as a decimal in the box.
Answer:
87.5
Step-by-step explanation:
A parabola can be drawn given a focus of (0, –9) and a directrix of
y=-5. What can be said about the parabola?
Answer:
Step-by-step explanation:
x2+(y-9)2=(y-5)2distance from point on curve to focus [squared]
I just need help with this pls
Answer:
Option D
Step-by-step explanation:
Hello!
Recall the quadratic equation: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Remember that a quadratic equation is written in the form [tex]ax^2 + bx + c\\[/tex]
So:
a = 2b = 5c = -1Plug the values in and solve:
[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-5\pm\sqrt{5^2 - 4(2)(-1)}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{25 +8}}{2(2)}$\\\\x = $\frac{-5\pm\sqrt{33}}{4}[/tex]
This would be [tex]\boxed{\text{Option D}}[/tex]
A deck of cards have suits spade, diamonds, clubs, and hearts. There are 13 of each suit Ace, 2,3,4,5,6,7,8,9,10, jack, queen, and king. What is the probabililty of choosing a King from a standard deck?
Answer:
1 out of 13
Step-by-step explanation:
please help find the point of intersection (ordered pair)
x + 2y=3
2x - 4y = -20
Answer:
Check out Tiger algebra
it gave me
Slope=-2.000/2.000=-1.000
x - intercept = 3/1 = 3.00000
y - intercept = 3/2 = 1.50000
and
Slope=1.000/2.000=0.500
x - intercept = 10/1 = 10.00000
y - intercept = 10/2 = 5
It requires nothing.
Calculate the simple interest earned as a amount R1400 at an annual interest rate 6.5% over 3 years?
Answer:
principle (p)=Rs1400
Rate(R)=6.5
time(T)=3
we know that
I=P×I×T/100
=1400×6.5×3/100
=273
therefore the simple interest earned is Rs273
Alex simplified the expression 7+(3x 1.4)+5+2+(5x 14) to find the area of the figure on the grid.
What error did Alex make?
O He found the perimeter of the figure instead of the area.
O He added the lengths of the lines creating the indentation instead of subtracting them.
O He used 5x1.4 and 3x 1.4 as the length of each diagonal line instead of 5 and 3.
O He added the five lengths together instead of multiplying them.
The error Alex made is that he found the perimeter of the figure instead of the area.
Area and perimeter of shapesGiven the expressions
7+(3x 1.4)+5+2+(5x 14)
He used the expression to simplify the grid
The expression simplified shows that Alex added all the measures of the sides of the grid instead of taking the product of the length and width
Note that the operation Alex performed is the perimeter of the figure instead of the area hence the error Alex made is that he found the perimeter of the figure instead of the area.
Learn more on area and perimeter of figure here: https://brainly.com/question/443376
Answer:
A - He found the perimeter of the figure instead of the area.
Step-by-step explanation:
10 y + 4 = 0
A) x - y=0
C) -y=-4
B) y=-4
D) x + y = 0
Answer:
B) y = -4
Step-by-step explanation:
When rearranging an equation we divide, multiply, subsract, add the same things to both sides of the equation.
So here we would - 4 from both sides to give:
y + 4 - 4 = 0 - 4
This would simplify to:
y = -4
Please help with this question (I will mark brainliest) Thank u >u<
A turtle population that started at 368 has begun to decrease by 7 percent each month. Which equation below could be used to model this situation?
Answer:
Im Not 100% but, I will give you the best answer.
I think it might be Option 3
If not, (give me 1 star)
I tried
Step-by-step explanation:
What is the value of m in the equation {m-in
-n = 16, whеn n = 8?
o20
032
оооо
44
48
Answer:
m = 24
Step-by-step explanation:
if i'm wrong sorry not that good with math
6. If the mean of A and B is 20, the mean of B and C is 24 and the mean of A, B and C is 18. What is the mean of A and c?
Answer:
10
Step-by-step explanation
[tex]\frac{a+b}{2}=20\\\frac{b+c}{2}=24\\ \frac{a+b+c}3}=18\\[/tex]
20x2 = 40 -> a+b=40
24x2 = 48 -> b+c=48
18x3 = 54 -> a+b+c=54
solve the equations...
a=6
b=34
c=14
a+c/2 = 6+14/2 = 10
Please help if you can!!
Answer:
47x+10
Step-by-step explanation: