Answer:
[tex]\dfrac{(a+b)}{ab}[/tex]
Step-by-step explanation:
The given expression is :
[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}[/tex]
It can be solved as follows :
[tex]\dfrac{a}{ab-b^2}+\dfrac{b}{ab-a^2}=\dfrac{a}{b(a-b)}+\dfrac{b}{a(b-a)}\\\\=\dfrac{a}{b(a-b)}+\dfrac{b}{-a(-b+a)}\\\\=\dfrac{1}{a-b}(\dfrac{a}{b}-\dfrac{b}{a})\\\\=\dfrac{a^2-b^2}{ab(a-b)}\\\\=\dfrac{(a-b)(a+b)}{ab(a-b)}\\\\=\dfrac{(a+b)}{ab}[/tex]
So, the solution of the given expression is equal to [tex]\dfrac{(a+b)}{ab}[/tex].
Peanuts cost $6.40 per pound. How much will 8 pounds cost?
Answer:
51.2 dollars
Step-by-step explanation:
you have to multiply 6.40 by 8
Please help me this is half my grade I will give 50 points also it’s 64 guest if you couldn’t see it please help.
PLZ PLZ PLZ ANSWER!!!!!!
Answer: it would be B "4.05"
Step-by-step explanation:
2.5 x 1.8 x 0.9 = 4.05
Answer:
4.05 m^3
Step-by-step explanation:
Calculate volume with this formula:
LxWxH (length x width x height)
0.9 x 2.5 x 1.8 = 4.05
Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.
So our answer is 4.05 m^3.
Help me Asap Please.
Find the area of the figure.Rounded to the nearest tenth, the area is
_ square meters.
Answer:
area of the rectangle =8*15=120sq.m
area of semi circle =1/2*π*4*4
=1/2*22/7*4*4=22/7*8=176/7=2.51sq.m
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
Find the range for the list of numbers
21, 18, 24, 19, 27
Question 3 options:
6
9
21
21.8
Answer:
9
Step-by-step explanation:
i did the same thing on k12
Which number is between √ 6 /2 and √8
Answer:
4567890
Step-by-step explanation:
this is not correct
Answer:
2
Step-by-step explanation:
the radius of a sphere is 21cm find its area and volume
Answer:
5544cm (squared)
Step-by-step explanation:
Surface area of a sphere=4πr (squared) =4× 7/ 22 ×21×21cm (squared)
Surface area of the sphere=5544cm
.
Answer:
Area = 5164.8 cm; volume = 38792.4 centimeters
Step-by-step explanation:
Since the radius is known, we can substitute it for r in the first formula.
A = 4πr²
A = 4π(21)²
A = 4π(411)
A = 12.566370614359 * 411
A = 5164.8
V = 4/3πr^3
V = 4/3π21^3
V = 4/3π(9261)
V = 4.1887902047863 * 9261
V - 38792.4
Graphing Quadratic Functions (help please )
Find the vertex and zeros of each graph, then make a graph of each function. Label the vertex and zeros of each graph.
1. f(x) = - 2(x - 4) (x + 6). 4. Y = -(x - 4)^2 + 11
Vertex = _______
Zeros = _______
Vertex = _______
Zeros = _______
2. Y= 3(x + 1)(x + 6)
Vertex =_______
Zeros =_______
3. Y= -2(x - 4) (x + 6)
Vertex =______
Zeros =_______
Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Use your graph to find estimates of the solutions to the equation x^2 - x - 2 = 3
Answer:
x = -1.791 and x = 2.791
Step-by-step explanation:
Graphing x^2 - x - 2 = 3
we got 2 intersects at x = -1.791 and x = 2.791
Answer:
I dont know if this is the right answer hehe
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3 years at 5.5% interest compounded annually if she did not make any further deposit or withdrawal.
Answer:
$1456.25
Step-by-step explanation:
Given data
P= $1,250
t= 3 years
r=5.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A= 1250(1+0.055*3)
A= 1250(1+ 0.165)
A= 1250(1.165)
A= 1456.25
Hence the amount after 3 years is $1456.25
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
THE ANSWER FOR THIS IS
30%
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
Are You Ready For More?
A loaf of bread is cut into slices.
1. If each slice is 1/2 of a loaf, how many slices are there?
:
2. If each slice is 1/5 of a loaf, how many slices are there?
:
3. What happens to the number of slices as each slice gets smaller?
:
1. There would be 2 slices as the denominator is 2.
2. There would be 5 slices as the denominator is 5.
3. As each slice gets smaller, the denominator gets bigger, because the bigger the denominator is, the more pieces it needs to make a whole.
Hope this helps :)
There are 2 pieces if each slice is 1/2 of a loaf, and 5 pieces if each slice is 1/5 of a loaf, and the total number of pieces get increases if each slice gets smaller.
What are fractions on number lines?When fractions are represented on a number line, we can plot them on a number line just like we can with whole numbers and integers. Parts of a whole are represented by fractions. In order to depict fractions on a number line, equal pieces of a whole are divided.
Given A loaf of bread is cut into slices.
1. If each slice is 1/2 of a loaf, how many slices are there,
here slices are 1/2 of the loaf so the loaf is divided into two equal parts,
1/2 + 1/2 = 1
2. If each slice is 1/5 of a loaf, how many slices are there,
here loaf has 5 equal parts,
1/5 + 1/5 + 1/5 +1/5 + 1/5 = 1 loaf
3. What happens to the number of slices as each slice gets smaller?
the value of the denominator in fraction goes on increasing and since the value is increasing the number of slices also gets increases.
Hence there are 2 pieces for 1/2 of the loaf,
5 pieces for 1/5 of the loaf,
and the number of slices increases when each slice gets smaller.
Learn more about fractions on number lines;
https://brainly.com/question/17658856
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PLEASE HELP!!!!! ASAP
Answer:
y = -x + 30
Step-by-step explanation:
You will want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (an example is y = 2x - 1).
First, to find the slope you want to find how much x goes up by when y goes up by 1. You know from the table that when y goes up by 5, x goes up by -5 (using the points (10, 20) and (5, 25))
Then, you can divide each value by 5, so it would be when y goes up by 1, x goes up by -1. That means the slope is -1.
So far, the equation is y = -x + b. To find b, you can plug in one of the points you have and solve for b. For example, substitute in x = 10 and y = 20, so:
20 = -10 + b
add 10 to both sides
30 = b
So you know the equation is y = -x + 30
Please let me know if any parts of these explanation are confusing, I definitely think this concept can be confusing at time. Good luck with your work! :)
Answer:
To create an equation, you need to find the slope first. The slope formula is [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]. Let's use two random coordinates: (10,20) and (5,25). Plug in these digits into the formula to get [tex]\frac{25-20}{5-10}[/tex]. Simplify to get [tex]\frac{5}{-5}[/tex] or -1. The equation would look like y=-x+b. Now we need to find b. Again, let's use a random coordinate: (10,20). Plug in the digits into the variables to get 20=-10+b. Add 10 on both sides to get 30=b. So, the equation would be y=-x+30.
5x³-45x (Factor COMPLETELY)
Step-by-step explanation:
5x³ - 45x
5x(x² - 9)
Or 5x(x-3)(x+3)
[tex]\tt{} {5x}^{2} - 45x[/tex]
[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]
[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]
Death Star shoots at Earth! Earth explodes! No survivors!
Answer:
WHY?
Step-by-step explanation:
i need 1 MORE BRAINLIEST!!!
Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?
write the expression which represents the perimeter of the rectangle
lf x=10m, find the actual length, breadth and area of the rectangle.
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(__,__)
What are the coordinates of Point A? A(___,____)
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
evaluate f(.25) if f(x) = [[2x-1]]
Answer:
(-.5)
Step-by-step explanation:
Katie takes an Uber to work. She pays $1.50 per mile and she tips
the driver $10.
Write an equation to show how many miles she can go for $34
Answer:
1.50x+10=34
Step-by-step explanation:
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answer:
4.50r + 6.00f ≤ 35.00
You select 35 marbles from a bag. The results are as follows: 9 blue marbles, 8 green marbles, 4 red marbles, 8 white marbles, and 6 yellow marbles. Find (red). Write the probability as a fraction in simplest form, a decimal, and a percent.
Answer:
4/35, 0.114, 11.4%
Step-by-step explanation:
Please I need serious help with this ASAP!!! I will mark brainliest if correct!! Please explain!!!
Answer:
1. Given
2. Reflection property of congruence
3. Definition of a a midpoint
4. Reflexive property of congruence
5. CPCTC
Step-by-step explanation:
Does anyone know what the answer to this is???
Answer:
7.4% increase (approximated)
Step-by-step explanation:
✔️Dimension of the original rectangle:
Length = 30 cm
Width = 20 cm
Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm
✔️Dimension of new rectangle:
Length is increased by 10% = 10/100 × 30cm = 3 cm
New length = 30 + 3 = 33 cm
Width is increased by 5% = 5/100 × 20cm = 1 cm
New width = 20 + 1 = 21 cm
✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm
✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100
= (108 - 100)/108 × 100
= 8/108 × 100
≈ 7.4% increase
Sid wants to buy a pair of sunglasses that is 65% off. The original price is $37.35 . What is the amount of discount ( to the nearest hundredth) ? What is the sale price? ( to the nearest hundredth) ?
Answer:
Step-by-step explanation:
discount = 65% of $37.35 = 0.65×37.35 ≅ $24.28
sale price = $37.35 - 24.28 = $13.07
What is the length of CF?
Answer:
8.5
Step-by-step explanation:
BF * EF = CF * DF
7 * 17 = CF * 14
119 = CF * 14
CF = 119 / 14
CF = 8.5
R1 V
Х
Х
Complete the following table, by using x for no and ✓ for yes:
N No. Z
Q 04 R
e.g.: 0
✓ ✓ ✓
-6 X X
0,12543
V2
1
4
22
7
V-8
5
끓
0,999....
Answer:
✓ ✓ ✓
-6 X X✓ ✓ ✓
-6 X X
ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST
Answer:
option A is the answer hope you find it helpful
