verify X + y equal to y + X when:x=-8/9and y=-3/5​

Answers

Answer 1

Given:

[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]

To verify:

[tex]x+y=y+x[/tex]

Solution:

We need to verify,

[tex]x+y=y+x[/tex]

Taking left hand side, we get

[tex]LHS=x+y[/tex]

After substituting the values, we get

[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]

[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]

[tex]LHS=\dfrac{-40-27}{45}[/tex]

[tex]LHS=\dfrac{-67}{45}[/tex]

Now,

Taking right hand side, we get

[tex]RHS=y+x[/tex]

After substituting the values, we get

[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]

[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]

[tex]RHS=\dfrac{-27-40}{45}[/tex]

[tex]RHS=\dfrac{-67}{45}[/tex]

Clearly,

[tex]LHS=RHS[/tex]

Hence verified.


Related Questions

HELP ASAP
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX? 5° 15° 75° 150°

Answers

That sounds horrible

Which set of ordered pairs is included in this relation?
A {(-5, 4), (-3, 2), (2, -1), (3, 0)}
B {(-4, 1), (-2, -5), (1, -2), (5, 2)}
C {(-3, -2), (0, 3), (1, -2), (4, 1)]
D {(-2,-5), (-1, 4), (2, -1), (3, 0)}

Answers

A, all of the points are on the line

A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none

Answers

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

PLZ HELP QUIK PLZ HELP PLZ

Answers

Answer:

(x,y) = (-2,7)

Step-by-step explanation:

7x+2y=0

9x+4y=10

y = -9x/4 + 5/2

7x+2 (-9x/4 + 5/2) = 0

5x/2 = -5

5x = -10

x = -2

use x and substitute to get y

y = -(9/4) (-2) +5/2 = 7

What is the approximate area?

Answers

Answer:

71.77cm

Step-by-step explanation:

Answer:

71.76 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle with a missing half circle and a triangle.

area = area of rectangle + area of triangle - area of half circle

For the circle, radius = r = diameter/2 = 7 cm/2 = 3.5 cm.

area = LW + bh/2 - (pi)r^2/2

area = 10 cm * 7 cm + 7 cm * 6 cm/2 + (3.14)(3.5 cm)^2/2

area = 70 cm^2 + 21 cm^2 - 19.24 cm^2

area = 71.77 cm^2

Answer: 71.76 cm^2

You have cup of cornmeal in your cupboard. A recipe for muffins calls for
cup of cornmeal. How much cornmeal would you have left if you made the
muffins?

Answers

You would have none left. If you started with one cup of cornmeal and then you used that one cup of cornmeal to make the muffins, you would have none left

Angle A and Angle B are supplementary angles. If angles A = 65, find the m Angle B.

Answers

Answer:

B = 115

Step-by-step explanation:

Since A and B are supplementary, they add up to 180 degrees.

Thus, 65 + B = 180, and B = 115

Need help for this question asap please

Answers

Answer:

option 4 = 25

Step-by-step explanation:

given= chord js and hL intersects at poimt p

to find = value of x

solution:according to the therom;

if the line extensions of the chordJS and HL INTERSECTS at point K then their lenghts satisfy

JK×KS=HK×KL

10×30=X×12

300=12x

300/12=x

25= x

If a house is built on sand is sinking at a rate of two inches per day which is the change in the height above ground of the house after 11 days

Answers

Answer:

Height of the house will reduce by 22 feet after 11 days.

Step-by-step explanation:

A house is sinking at the rate of 2 inches per day.

That means rate of sinking of the house is 2 inches in a day.

Therefore, house will sink or change in height of the house in 11 days

= Rate o change in height × Number of days

= 2 × 11

= 22 feet

Height of the house will reduce by 22 feet after 11 days.

Find the measure of ∠ J. (Hint: You must find the value of x first)

Answers

Answer:

35°

Step-by-step explanation:

set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180

x+x-15+95=180

2x+80=180

2x=100

x=50

now plug it in

50 - 15 = 35

answer

35°

Step-by-step explanation:

set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180

x+x-15+95=180

2x+80=180

2x=100

x=50

now plug it in

50 - 15 = 35

The largest tree in the United States is growing in Sequoia National Park in California. The tree is a giant sequoia whose trunk is roughly circular and has a circumference of 998 inches. Find the diameter of the tree. Use 3.14 for pi and round your answer to the nearest tenths place.

Answers

Answer:

318 (rounded)

Step-by-step explanation:

d = diameter

c = circumference

d = c/3.14

hope this helps you

circumference formula - diameter x pi
diameter = 998/3.14
diamter = 318 inches

Answer this question to get marked as barinliest!!!!!

Answers

Answer:

It is 16.

Step-by-step explanation:

Triangles add up to 180 degrees. 58+56=114 which you subtract 180-114 to get 66. 66-2 is 64 and 64 divided by 4 is 16. r=16

whts 5/8 - 2/4
plz help will mark brainliest
and i will give 30 points

Answers

Answer:

5/8 - 2/4 = 1/8

(Hope this helps! Btw, I answered first. Brainliest please! :D)

tom and tyler race starting at the bottom of their cuboids to reach a crumb in the bottom corner. If they take the fastest route, who wins?

Answers

Answer:

tie the answeris tie becauseit says tom AND tyler

Step-by-step explanation:

i think its tie or no one won

A cereal box is 9 1/2 inches long, 2 1/2 inches wide, and 12 inches high. What is the volume of the box?

Answers

The answer would be 285. When you find volume it's width times hight times length.

Answer:

(19/2)inches × (5/2) inches × 12inches

9.5×2.5×12=285

1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?

Answers

Answer:

I believe it would be $31.39

Step-by-step explanation:

Original Price - $45

Price With Sale And Tax $31.39

Hope that helps!

hi please help thank you i’ll give brainliest

Answers

Answer:

Decomposers

Step-by-step explanation:

They are breaking down waste sometimes decomposers break down other dead organisms as well.

Answer:

decomposers. hope i helped!

Step-by-step explanation:

decomposers are bacteria who eat dead things or droppings!

The Snyder family uses up a 1 2 -gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer: 4 gallons per day

Step-by-step explanation:

From the question, we are informed that the Snyder family uses up a 12 -gallon jug of milk every 3 days.

The rate at which they drink milk will be gotten by dividing the gallons of milk they drink by the number of days. This will be:

= 12/3

= 4 gallons per day

Therefore, the rate they use in taking milk is 4 gallons per day.

What is the value of x?

Answers

In a right triangle, the hypotenuse is √2 x the legs. In this case, the value of x is [tex]\frac{18}{\sqrt{2} } =\frac{18\sqrt{2} }{2} =9\sqrt{2}[/tex].

Please help me in this. ASAP!

Answers

Answer:

Thermal energy -- sand on beach feels warm to touch

Gravitational potential energy -- a piece of fruit hanging from a tree

Electric energy -- Lightning produced during a storm

Kinetic energy --  A box moving along a conveyer belt

Radiant energy -- Radio waves transmitted from a tower

Step-by-step explanation:

PLZ mark me as brainliest

Is there a linear relationship between the radius and the volume of these cylinders? Explain how you know.

Answers

Answer:

The relationship between r and V is not linear.

Step-by-step explanation:

The volume increases exponentially as r increases linearly.

Volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Volume of a cylinder is V = πr²h,

where r is the radius

h is the height of the cylinder.

If we keep the height of the cylinder constant and vary the radius, we can see that the volume of the cylinder increases as the radius increases.

In fact, we can express this relationship as a linear equation in the form of y = mx + b,

where y is the volume, x is the radius, m is the slope, and b is the y-intercept.

By rearranging the volume formula, we get V = πr²h, which can be written as y = mx + b, where m = πh and b = 0.

Therefore, since the volume of a cylinder is directly proportional to the square of its radius, we can say that there is a linear relationship between the radius and the volume of a cylinder.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

PLEASES HELP
I need help on this question the screenshot are down below

Answers

Answer:

D would be the answer

Step-by-step explanation:

PLEASE HELP I NEED THE POINTS FOR THIS QUESTION, ILL GIVE BRAINLIEST
To qualify as a contestant in a race a runner Has to be the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 minutes and a standard deviation of 5 minutes. to the nearest minute, what is the qualifying time for the race?

Answers

Answer:

it is within 5 minutes ahead or behind 5 minutes of 64 minutes

let me know if it´s wrong

Plz answer quickly will you brainlist

Answers

Step-by-step explanation:

A' (1,4)

B' (5,8)

C'( 5,4)

D' (3,2)

you're graph was hard to read. but basically turn all the negative x values of the original shape into positive x values

can you guys pls help me ​

Answers

The answer is 19 it’s kinda subtracting by 8 so 35 -27 =8 27-8=19

y – 10 = -2(x + 9)
Use the following
equation that is in
point sope form and
simpify into siope
intercept form
Then identify the
slope and intercept
of the line.
ya

Answers

Answer:

slope intercept form

y=-2x-8

m=-2

y-intercept = (0,-8)

Does anyone know how to do this
a1=9
a_n= a_n-1 -4

Answers

No sorry I hope you figure it out tho
No hope you figure it out tho

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.

Answers

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

a rectangular prism and its dimensions are shown in the diagram.

what is the total surface area of this prism in square inches?

Answers

Answer:

Volume is 243.75

Step-by-step explanation:

v=(7.5)(5)(6.5)=243.75

I’ll give BRAINLIEST

Answers

Answer:

E. 18 on each van and 40 on each bus

Step-by-step explanation:

3(18) + 5(40) = 254 and 10(18) + 10(40) = 580

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