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3 years ago

What is the area of the square

Mathematics

2 answers:

Stolb23 [73]3 years ago

7 0

16 inches ,because 4×4

VMariaS [17]3 years ago

7 0

So the area is Length x width and if we know a square has all equal sides, that means all the sides are the same. so each side is 4
4x4=16

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Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

What values of c and d make the equation true?

saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

$(a^m)^n=a^{mn$

$\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d$

According to the Product of powers property:

$(a^m)(a^n)=a^{(m+n)$

Then. simplifying you get:

$162x^cy^5=162x^6y^{(3+d)}$

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6, then the exponent of "x" on the left side must be 6. Therefore:

$c=6$

You can notice that the exponent of "y" on the left side is 5, then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

$3+d=5\\d=5-3\\d=2$

4 0

3 years ago

FOR 90 POINTS PLEASE HELP

miskamm [114]

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

RS= 47

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192 (divide 32 from each side)

x=6

7 0

3 years ago

Which number has the same value as 30 tens

Anettt [7]

The answer is 300.

Explanation: 10 times 30 equals 300.

6 0

3 years ago

Read 2 more answers

6. A square field has an area of 479 ft². What is the approximate length of a side of the field?

anastassius [24]

Answer:

22 Feet

Step-by-step explanation:

All the lengths of a square are the same length.

The area of a square is the length times the width. The length and the width are the same measurement. So, we are looking for the square root of 479.

$\sqrt{479}$

21.88606863 is as far as my calculator goes. This is an irrational number. That means that it never repeats or terminates as a decimal. They tell us to answer to the nearest foot. That would be 22 feet.

3 0

1 year ago