(2+a+b)²

Include how you solved the problem ​

Answer:

\(4 \sqrt{2} \)

Step-by-step explanation:

A square has 4 equal sides.

When you draw a diagonal line in the square, it creates two triangles.

The two sides of the triangle would be 4 and the hypotenuse would be the diagonal.

To find the hypotenuse you use

\(a {}^{2} + b {}^{2} = c {}^{2} \)

So

\(4 {}^{2} + 4 {}^{2} = c {}^{2} \)

Solve

\(16 + 16 = c {}^{2} \\ 32 = c {}^{2} \\ \sqrt{32} = c \\ c = 4 \sqrt{2} \)

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

Answer: (7+n)-14

Sum= addition

Decreased by= subtraction

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

4 yards long

Step-by-step explanation:

John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4

Answer:

4

Step-by-step explanation:

3ft = 1yd

They only want to know how long in yards not the rest so

12ft = ?yds

So set up the problem.

12/3 = x/1

Solve

1(12) = 12

12 divided by 3 = 4  

John's garden is 4yds long

Answer:

cool

Step-by-step explanation:

Answer:

tyyyy

Step-by-step explanation:

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

have a great Day

Answer:

4x³ + 5x² - 30x + 18

Step-by-step explanation:

(4x - 3)(x² + 2x - 6)

each term in the second factor is multiplied by each term in the first factor.

4x(x² + 2x - 6) - 3(x² + 2x - 6) ← distribute parenthesis

= 4x³ + 8x² - 24x - 3x² - 6x + 18 ← collect like terms

= 4x³ + 5x² - 30x + 18

The area of Fiona’s circle is D. 49Pi meters squared

The first thing to note is that the area of a circle will be:

Area of a circle = πr²

In this situation, Fiona draws a circle with a diameter of 14 meters. The area will be:

= πr²

Diameter = 14

Radius = Diameter / 2

Radius = 14 / 2

Radius = 7

The area of the circle will be:

= πr²

= 7²π

= 49π

The correct option is D.

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We would divide the mass of the sun by the mass of the earth. From the information given,

mass of earth = 5.972 x 10^24

mass of sun = 1.61244 x 10^31

Number of earths = 1.61244 x 10^31/5.972 x 10^24 = 2.7 x 10^6

It will take 2.7 x 10^6 to equal the mass of the sun

The values of the piecewise functions at the indicated limits using the equations obtained from the graph are;

\(\lim \limits_{x \to2^+}\frac{f(x) - 4}{f(x+ 3)} = \underline{-\frac{2}{3} }\)

\(\lim \limits_{x\to 3^-}\) f(f(x) + 4) = 7

\(\lim\limits_{h\to 0} \frac{f(2+ h)-f(2)}{h}\) DNE

A piecewise function is a function that has rules or definition based on the interval of reference of the function.

The graphed function, f(x), comprising of several piecewise functions, indicates that as x → 2⁺, we get;

The points on the line of the graph are;

(1, 1), and (3, 3)

The slope of the graph as x tends to 2⁺ is therefore;

Slope = (3 - 1)/(3 - 1) = 1

The equation of the line is therefore;

y - 1 = x - 1

y = f(x) =  x

Therefore;

f(x) - 4 = x - 4

f(x + 3) = x + 3

\(\lim \limits_{x\to 2^+} \frac{f(x) -4}{f(x + 3)} = \frac{x - 4}{x + 3} | x = 2\)

The piecewise function for the interval, x → 3⁻ is; f(x) = x, therefore;

f(f(x) + 4) = f(x + 4) = x + 4

\(\lim \limits_{x\to 3^-}f(f(x) + 4)\) = x + 4, where; x = 3, therefore;

\(\lim \limits_{h\to 0} = \frac{f(2 + h)-f(2)}{h}\), can be found as follows;

The equation of the function at x = 2 is; y = f(x) = x

f(2 + h) = 2 + h

f(2) = 2

Therefore;

\(\frac{f(2 + h)-f(2)}{h}\) = (2 + h - 2)/h = h/h

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Answer:

The answer is 20

The answer is 20 meters

Given:

The exponential function passes through two points (0,4) and (3,32).

To find:

The formula for the exponential function.

Solution:

The general form of an exponential function is

\(y=ab^x\)          ...(i)

where, a is initial value and b is growth factor.

The exponential function passes through two points (0,4) and (3,32). It means the function must be satisfy by these points.

Putting x=0 and y=4 in (i), we get

\(4=ab^0\)

\(4=a(1)\)

\(4=a\)

Putting a=4, x=3 and y=32 in (ii), we get

\(32=4b^3\)

Divide both sides by 4.

\(8=b^3\)

Taking cube root on both sides.

\(2=b\)

Putting a=4 and b=2 in (i), we get

\(y=4(2)^x\)

Therefore, the required formula for the exponential function is \(y=4(2)^x\).

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

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Answer: B

Step-by-step explanation:

Answer:

4,368

Step-by-step explanation:

take 600 and add 4% to get 624

then take the 624 and multiply by 7

and the answer is 4,368

let's see what to do buddy...

_________________________________

_________________________________

Step (1)

We have 600 $ .

One year later ;

\(600 + (600) \times \frac{4}{100} = 600 + 24 = 624 \\ \)

Now we have 624 $.

_________________________________

Step (2)

One year later :

\(624 + (624) \times \frac{4}{100} = 624 + 24.96 = \\ 624 + 25 = 649 \)

After two years we have 649 $.

_________________________________

Step (3)

One year later :

\(649 + (649) \times \frac{4}{100} = 649 + 25.96 \\ 649 + 26 = 675 \)

After three years we have 675 $.

_________________________________

Step (4)

One year later :

\(675 + (675) \times \frac{4}{100} = 675 + 27 = 702 \\ \)

So after four years we have 702 $.

_________________________________

Step (5)

One year later :

\(702 + (702) \times \frac{4}{100} = 702 + 28.08 \\ 702 + 28 = 730 \)

After five years we have 730 $.

_________________________________

Step (6)

One year later :

\(730 + (730) \times \frac{4}{100} = 730 + 29.20 \\ 730 + 29 = 759 \)

So After six years we have 759 $.

_________________________________

Step (7)

One year later :

\(759 + (759) \times \frac{4}{100} = 759 + 30.36 \\ 759 + 30 = 789 \)

So after seven years we have 789 $.

_________________________________

There's no any more steps.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

neither

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

to be parallel you much have the same slope, so be perpendicular you must have the opposite reciprocal slope, and this has neither.

Answer:

8 minutes/1 mile

Step-by-step explanation:

72/9=8     9/9=1

Answer:

12 mins per mile

0.0833 miles per minute

5 miles per hour

The answer u need is 12 mins per mile tho

:)

Answer:

the answer is D. because 5×4=20, he had a total of 40 at the end so you subtract 20 from 40 and his initial amount of songs was 20.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

W=1/3 L

W=6

W x 3 = L

6 x 3 = L

18 =L

therefore the answer u are looking for is L over 3 equals 6 ;

therefor L=18 feet

Answer:

3/1

Step-by-step explanation:

hope you got the correct answer

thankyou.

Answer:

3/4

Step-by-step explanation:

please mark me as brainliest

Answer:

3/4

Step-by-step explanation:

You just multiply the whole number by the numerator.