The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
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Brent needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm and its base is 5 cm.
4.5 cm2
8.5 cm2
16.5 cm2
33.0 cm2
9514 1404 393
Answer:
(c) 16.5 cm^2
Step-by-step explanation:
The area of each triangle is given by the formula ...
A = 1/2bh
Smaller triangle area = (1/2)(2 cm)(6 cm) = 6 cm^2
Larger triangle area = (1/2)(5 cm)(9 cm) = 22.5 cm^2
The difference in area is ...
22.5 cm^2 -6 cm^2 = 16.5 cm^2
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
5. Find the area of the shaded region as a simplified
expression.
3r
x + 8 stund
2r - 1
x2–5x+3
Answer:
x³ -3x²-34x+24
Step-by-step explanation:
the area of the shaded region =
(x²-5x+3)(x+8) - 3x(2x-1) =
x³+8x²-5x²-40x+3x+24- 6x²+3x =
x³ -3x²-34x+24
Answer these questions
Step-by-step explanation:
B)1.supplementary
2.complementary
3complementary
4supplementary
5supplementary
6complementary
C)1.40
2.35
3.63
4.130
Expanded form for 4082 × 1/10=
Answer:
4000+0+80+2×0.1
Step-by-step explanation:
after expanding, /means division so you diving
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
GENTE PORFAVOR ME AJUDA
You have asked for help without actually providing what you need help on.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10
Answer:
y = -5x - 5.
Step-by-step explanation:
10x + 2y = -10 Add -10x to both sides:-
2y = -10x - 10 Divide through by 2:-
y = -5x - 5.
X¹² - 1 แยกตัวประกอบของพหูนาม
Answer:
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
Step-by-step explanation:
Factor of [tex]x^{12}-1[/tex] is
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
210
Step-by-step explanation:-133-55-22=210
help me out with this!
Answer:
k = 70
Step-by-step explanation:
Since we have been given the value of x to be -ve5 (-5),
we multiply 6 and -5( value of x). Which gives;
-30.
Then add the answer (-30) to 100.
-
K = -30 + 100
= 100 - 30
=70
Note;
(+ * + = +)
( + * - = -)
(- * - = +)
I hope this helps you.
Answer:
[tex]k=70[/tex]
Step-by-step explanation:
[tex]k=6x+100[/tex]
[tex]x=-5[/tex]
[tex]k=6(-5)+100[/tex]
Remove parentheses:- [tex]\left(-a\right)=-a[/tex]
[tex]k=-6\times 5+100[/tex]
Multiply [tex]6\times5= 30[/tex]
[tex]k=-30+100[/tex]
Add [tex]-30+100=70[/tex]
[tex]k=70[/tex]
OAmalOHopeO
Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
what is the 30th square number
plz tell the answer
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900
lim x ->0 ln(1+5x)/2x
answer
−>0(1+5)/2
hope it helps
If you drive 565 miles a day, how far will you have gone at the end of a week?
Calculate the area of the triangle.
Note: Think about which side to use as the base.
9514 1404 393
Answer:
27 square units
Step-by-step explanation:
The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.
A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area
How would I write a number subtracted from 2 times a number is 19 as an equation?
Answer:
[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]
This is the answer
if wrong please correct me ! :)
Multiply 546.1 × 0.52 = ____
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?
PLZ HELP I NEED IT
Answer:
C
Step-by-step explanation:
for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign
The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function p(x) has point (-3, 1 )
An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x
The point that will be in the inverse function of (x,y) is (y,x)
(-3,1) -----> ( 1,-3)
To know more about Function
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write rhis number in standard notation. 1.342×10^-7
Answer:
0.0000001342
Step-by-step explanation:
Three times the sum of a number and 18 is at least-30
Answer:
the sum of the number is 16 and it is al least 20 points
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States
Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
~
what is ninety two thousand one hundred seventy
Answer:
92170
I hope it's helps you
Help me pls!!!!!!!!!!!
Answer:
.01 times
Step-by-step explanation:
please, solve for x!
Answer:
15
Step-by-step explanation:
x*x = 9*9 + 12*12
--> x = 15
Solve for x where 2/x=2exponent x
Answer:
x = 1
Step-by-step explanation:
2/x = 2^(x)
x = 1
hope that helps
PLZ HELP ASAP I NEED PLZZZ!!!!!!
Fill in the blank with the correct response. The slope of the graph of y = -2/3x is __.
Answer:
Solution given:
Equation of line is:
y=-⅔x
comparing above equation with
y=mx+c
we get
m=-⅔
So
slope is -⅔Answer:
slope is -2/3
Step-by-step explanation:
I. It's linear equation
y = mx + b
when y is output, x is input, m is slope and b is addition.
The statment above is y = -2/3x + 0
So -2/3 is slope or m.value
Hope that help :D
15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.
Answer:
45 and 5 are the dimensions of the block of land.
Step-by-step explanation:
2(x + y) = 100, x + y = 100/2, y = (50 - x)
xy = 225
x (50 — x) = 225
0 = x^2 — 50x + 225
0 = (x — 45) (x -5)
45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.
