Solve the following equation by combining like terms:
4y - 2y = 18

Answer:2x-5y=-15

Step-by-step explanation:

Answer:

x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2}{a^2}[/tex] + [tex]\frac{y^2}{b^2}[/tex] = 1

Multiply through by a²b² to clear the fractions

b²x² + a²y² = a²b² ( subtract a²y² from both sides )

b²x² = a²b² - a²y² ( divide both sides by b² )

x² = [tex]\frac{a^2b^2-a^2y^2}{b^2}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]

In formula x²/a²+y²/b²=1

Value of  x as subject, x = ± [a√(b² - y²)]/b

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given equation,

x²/a² + y²/b² = 1

moving y²/b² to right side

x²/a² = 1 - y²/b²

multiplying a² on both sides

a². x²/a² = a². 1 - a². y²/b²

Simplifying

x² = a² - a²y²/b²

x = ± √(a² - a²y²/b²)

x = ± a√(1 - y²/b²)

x = ± [a√(b² - y²)]/b

Hence, value of x = ±[a√(b² - y²)]/b in formula x²/a² + y²/b² = 1

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Answer:

7488 inches

Step-by-step explanation:

I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.

The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Area of the leftover sheet = 72  × 104 = 7488 inches²

area of the square = 7488
a² = 7488
a = 86.53

Somehow, for  the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²

Thus, the required maximum area of the biggest possible square be with sides of whole number length  7396 inches².

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Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

Answer:

#1

x intercept is -5

y intercept is -5

#2

y=8x

Step-by-step explanation:

Answer:

2+2=4

4+18=22

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Here's what I found on google about distributive property:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

distribute the numbers-  0.05(50)+0.05(40)

solve-  0.05*50= 2.5

0.05*40= 2

2.5+2= 4.5

Hope this helps

Answer:

0.05(50)+0.05(40)

Step-by-step explanation:

Answer:

484 : 1

Step-by-step explanation:

We can write white blood cells to:

22^5 = 22 × 22 × 22 × 22 × 22

We can write red blood cells to:

22³ = 22 × 22 × 22

Thus, white : red equals

22 (5 times) : 22 (3 times)

22² : 22^0 = 484 : 1

I hope this helps you :)

The required ratio of white blood cells to red blood cells is 1:484.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A cubic millimeter of blood contains 22³, white blood cells, and 22⁵ red blood cells.

The ratio of white to red blood cell is given as,
Ratio = 22³/22⁵
Ratio = 1 / 484

Thus, the required ratio of white blood cells to red blood cells is 1:484.

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Answer:

6 dollars i think

Step-by-step explanation:

Answer:

Gio will save about $6.

Step-by-step explanation:

You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6

Answer:

I am super sure its A and C

Hope this helps :D

Answer:

288 hours

Step-by-step explanation:

So you have 24 per month. so month can be represented by x.

24x= y

Y is the amount of hours.

One year is 12 months. so plug 12 into x

24(12) =y

y= 288

Answer:

Take deep breaths and solve the problem.

Step-by-step explanation:

Answer: x = -29

Step-by-step explanation:

-0.59x+0.39x=5.8

Collect like terms

-0.2x = 5.8

Divide both sides of the equation by -0.2

x = -29

Response to user in comments:

-0.59+0.39=-0.2 that is a fact

-0.2/-0.2=1 that is a fact

5.8/-0.2= - 29 that is a fact

These are the facts about the steps of the equation. Solving Steps for Solving the Equation

Answer:

Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.

Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.

Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.

Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.

Step-by-step explanation:

Answer:

bop

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a

Answer:

Step-by-step explanation:

a can't be an integer

8/√2 doesn't reduce to an integer. It will give you 4*√2 * √2/√2 = 4√2

-√18/√2 = -√(3*3*2)/√2 = -3(√2)/√2 = -3

At best you will get 4√2 - 3

a = 4√2

b = - 3

Edit

b is correct. the answer for b = -3

a  can't be done giving an integer answer. My best guess is 4 but that is not the correct answer.  You could write it as (4 - 3)√2

My advice to you is to present it to your instructor and see what he/she comes up with.

Answer:

Step-by-step explanation:

I hope this helps!!!!

Answer:

D

Step-by-step explanation:

you can use this for help:

the interior angles of a triangle add up to 180°

So, Angle I + angle H + angle x =180°

60°+56°+x°=180°

116°+x°=180°

X=180-116

X=64°

Answer:

-44

Step-by-step explanation:   -44

yes!! glad that you support this! keep your head up and keep on smiling! <3

Answer:

1

Step-by-step explanation:

Answer: 2x-3y=4

Hope this helps!! :)

Answer: Could be 0,1,2,3,4,5

Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.

4.)    top row: 1,   2,    4,     6,      8,    10

bottom row: 25, 50, 100, 150, 200, 250

5.)    top row: 1,    2,     4,      6,      8,     10

bottom row: 50, 100, 200, 300, 400, 500

Answer: The measure of the middle angle = 52°

Step-by-step explanation:

Let x = Smallest angle.

largest angle = [tex]3x-32[/tex]

Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]

Sum of all angles in a triangle is 180 degrees.

So, Smallest angle+ largest angle+ Middle angle = 180°

[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]

Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]

[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]

Hence, the measure of the middle angle = 52°

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation: