Answer:
(-2,4)
Step-by-step explanation:
From qsn
x + y = 2
or, x = 2-y .... (i)
And,
y = (x/2) + 5 (one half x)
or 2y = x + 10
or x = 2y - 10 .... (ii)
From eqn i and ii we get
2-y = 2y-10
or 12 = 3y
or y = 4
putting the value of y in eqn (i) we get
x = 2-4
or, x = -2
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
stay safe stay happy
Answer: Area= 1400[tex]meter^{2}[/tex]
Step-by-step explanation:
ok so we can assume the
breadth=X
so, length = X+5 (because the length is 5 meters more than the breadth)
perimeter= 150 meters
the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)
so now if we put the values,
2 * ( X+5 +X) = 150 ( because 150 is the perimeter)
2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).
now we multiply 2 with both sides
so ( 2 * 2X) + (2 * 5)
hence, 4X + 10 = 150
now we will solve the equation,
4X= 150 -10 (because we did transposal the signs will change from "+" to "-")
4x= 140
again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing
so now,
X= 140÷4
which is equal to 35
so finally X = 35
so as we have written in the beginning breadth= X
and LENGTH= X+5
so now we have found X
BREADTH= 35
LENGTH= 40 (because 35+5 is 40)
now we have to find area the formula for finding the area is LENGTH×BREADTH
so, 40 × 35 = 1400
now we put the unit which is square meters also known as [tex]m^{2}[/tex]
so there is your final answer 1400[tex]m^{2}[/tex]
What are the domain and range of the function f(x) = 3/4 x+5?
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values
Find the value of
5³
(3/2)³
(-1/2)³
[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]
(1) Value of 5³
[tex] \sf{5}^{3} \\ = \sf5 \times 5 \times 5 \\ = \boxed{\bf 125}[/tex]
(2) Value of (3/2)³
[tex] \sf( { \frac{3}{2} })^{3} \\ \sf = \frac{ {3}^{3} }{ {2}^{3} } \\ \sf= \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{27}{8} }[/tex]
=> The answer in decimal format is [tex]\boxed{\underline{\bf \: 3.375}}[/tex]
(3) Value of (-1/2)³
[tex] \sf( \frac{ - 1}{2} ) ^{3} \\ = \sf \frac{ { - 1}^{3} }{ {2}^{3} } \\ \sf = \frac{ - 1 \times - 1 \times - 1}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{ - 1}{8} }[/tex]
=> The answer in decimal format is [tex]\boxed{\underline{\bf \: -0.125}}[/tex]
_______
Hope it helps.
RainbowSalt2222
if i have one quarter,7 dimes, and four nickes how much money do i have.
Jack walks onto an elevator at floor level 2. The elevator goes up 3 floors, down 8 floors, and back up 11 floors. What floor is Jack on now?
answer quick pls!!
Find the ordered-pair solution of y = 4x + 1 that corresponds to x = -1
Answer:
(- 1, - 3 )
Step-by-step explanation:
Substitute x = - 1 into the equation and evaluate for y
y = 4(- 1) + 1 = - 4 + 1 = - 3
solution is (- 1, - 3 )
What is 40 kilometers per hour in meters per hour?
Answer:
D. 40,000
BRAINLIEST, PLEASE!
Step-by-step explanation:
There are 1000m in 1km.
40 x 1000 = 40,000
what is ????????????????? 21x+28<10-3x
Answer:
x < -3/4
Step-by-step explanation:
21x + 3x < 10 - 28
24x < -18
x < -18/24
x < -3/4
if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?
Answer:
26
Step-by-step explanation:
if his chair is 14 away from the left he would be 26 away from the right
How many gallons, quarts, and pints are in 72 cups (not all together)
Answer:
72 cups=4.5 gallons
72 cups=18 quarts
72 cups=36 pints
Step-by-step explanation:
To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to divide the volume value by 16.
Hope this helped for you!
f(x)= -2x^2 - 5 and f(2)= -13
can someone solve this in steps please?
This is one way you could write out the steps
f(x) = -2x^2 - 5
f(2) = -2(2)^2 - 5
f(2) = -2(4) - 5
f(2) = -8 - 5
f(2) = -13
Answer:
Step-by-step explanation:
First you have to get the meaning clear.
f(2) means that wherever you see an x on the right side of the equation, you put a 2.
f(2) means -2*(-2)^2 - 5
(-2)^2 = -2 * -2 = 4
f(2) = -2 * 4 - 5
f(2) = - 8 - 5
f(2) = -13
Express
as a trinomial.
(2x – 6)(x – 4)
Answer:
[tex]2x^2 - 14x + 24[/tex]
Step-by-step explanation:
Answer:
[tex](2x - 6)(x - 4) \\ 2 {x}^{2} - 8x - 6x + 24 \\ 2 {x}^{2} - 14x + 24 \\ thank \: you[/tex]
What is the area?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1 2/3 cm^2.
Step-by-step explanation:
Area = 1 2/3 * 1
= 1 2/3
Write 6.21 as a mixed number in simplest form.
Answer:
6.211=( 6.21×100) (1×100) =621100
Hope that helped you
x+4+3(x)=x-8
Answer this for me
Step-by-step explanation:
3x= (-8) -4
x=(-12)/3
x= -4
Hello!!! I can help
Answer:
= − 4
Step-by-step explanation:
the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way
Answer:
Step-by-step explanation:
Take out a common factor (x)
x ( 1 - 0.10 )
Now do the subtraction
0.90x
3x
Are 10 - 20 and 5(2 - 20) equivalent expressions? Explain.
Answer:
No.
Step-by-step explanation:
Take the second expression: 5(2 - 20)
To solve, you must distribute the 5 to all terms within the parenthesis:
5(2 - 20) = (5 * 2) - (5 * 20) = 10 - 100 = -90
On the other hand:
10 - 20 = -10
∴ the two expressions are not equivalent.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\bold{No, they are not equivalent because...}}\\\\\\\large\textsf{5(2 - 20)}\\\large\textsf{= 5(2) + 5(-20)}\\\large\textsf{= 10 - 90}\\\boxed{\large\textsf{= \bf -90}}\\\\\large\textsf{10 - 20}\\\large\textsf{\boxed{\large\textsf{= \bf -10}}}\\\\\\\large\boxed{\star}\large\textsf{-10}\neq\large\textsf{-90}\large\boxed{\star}[/tex]
[tex]\huge\boxed{\mathsf{Answer: \bold{NO,}\ because \ \bf -10 \ does \ NOT}}\\\huge\boxed{\mathsf{\bf equal \ to -90}}\huge\checkmark[/tex]
[tex]\bullet\ \frak{Random\ fact: negatives \ are \ on\ the\bf \ LEFT\ side\ of\ the \ number\ line\ \& \ positives}\\\frak{are\ on\ the\bf \ RIGHT\ side\ of\ the\ number\ line}[/tex]
[tex]\large\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040}}[/tex]
Is the inequality sometimes, always, or never true?
Answer:
never true.
Step-by-step explanation:
Answer: Never true
Work Shown:
-2(2x+9) > -4x+9
-4x-18 > -4x+9 ... distribute
-18 > 9 .... add 4x to both sides; they cancel
The last inequality is false regardless of which x value you pick. Since the last inequality is always false, that means the first inequality is always false.
A rectangle is a quadrilateral with 444 right angles. A rhombus is a quadrilateral with 444 sides of equal length. What is the most precise name for a shape that is both a rectangle and a rhombus
Answer:
Square
Step-by-step explanation:
A shape with 4 right angles and 4 sides of equal length is a square
It makes sense if you think about it for a couple minutes
Write an equation for the situation then solve for x.
Julio rented a bike from Krystal's Bikes. It
cost $13 plus $2 per hour. If Julio paid $17,
then he rented the bike for how many hours?
The number of hours should be 2.
Given that,
There is the cost of $13 plus there is $2 per hour.And, the amount paid is $17.Here we assume the number of hours be x.Based on the above information, the equation is as follows:
2x + 13 = 17
2x = 17 - 13
2x = 4
x = 2
Therefore we can conclude that the number of hours should be 2.
Learn more: brainly.com/question/3530056
Estimate the shaded areas of the following shapes.???
Answer:
436cm^2
Step-by-step explanation:
you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle
Big rectangle =30*16=480
small rectangle =4*11=44
480-44=436
Please help with questions 4,5 and 6!
Answer:
Step-by-step explanation:
4) ∠CTB , ∠PTA are vertical angles
If sum of two angles add up to 90, then they are Complementary angles.
If sum of two angles add up to 180, then they are Supplementary angles.
∠FTA and ∠ATR are supplementary angles
5) ( 1 , 2 ) & (3 , 6)
[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]= \left(\dfrac{1+3}{2},\dfrac{2+6}{2}\right)\\\\=\left(\dfrac{4}{2} \ , \dfrac{8}{2}\right)[/tex]
[tex]\=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
= (2 , 4)
6) Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(3-1)^{2}+(6-2)^{2}}\\\\=\sqrt{2^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47[/tex]
a times b whole cube
Answer:
i don't know what's the question
Step-by-step explanation:
like I don't know
Is 17/2 rational or irrational?
Answer:
it's a Rational number
Step-by-step explanation:
because it repeats and stops
Hi, I'm happy to help!
A number is rational if it repeats itself, or stops. This number, both in fraction and decimal form (8.5), stops. This means that the number is rational.
I hope this was helpful, keep learning! :D
Which definition best describes vertical angles?
Vertical angles are a pair of opposite angles formed by intersecting lines
The smallest number when subtracted from the difference of the square of 29 and 22 gives a perfect square is
Answer:
Your answer is 33.
step- by step :
29×29-22×22=841-484
= 357
Closest square of 18 which is 324.
So, 357-324= 33. ans.
Write the descending chromatic scale beginning on C
Answer:
c(half note), b(flat, quarter note), a(quarter note), g(quarter note), f(quarter note), e(flat, quarter note), d(quarter note), c(half note)
Step-by-step explanation:
i cant draw it on the sheet music itself but I hope that helps
Answer the following questions.
1. Trish can complete 10 problems in 60 minutes. At this rate, could she complete 25 problems in 130 minutes? Write your answer as YES or
NO.
What is the solution of
2x = 3 + 4 = 7?
Answer:
x = 6
Step-by-step explanation:
Given
[tex]\sqrt{2x-3}[/tex] + 4 = 7 ( subtract 4 from both sides )
[tex]\sqrt{2x-3}[/tex] = 3 ( square both sides )
2x - 3 = 3² = 9 ( add 3 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
HELPPGPGPPHPHGPPFPSLLSLSL