Algebra

x^(2) = 201.64

find square root of both sides.

Hence

x = sqrt( 201.64(

x = 14.2

y = kx + 1

y^(2) = 8x

Square up the linear eq'n and substitute.

Hence

y^(2) = ( kx + 1)^(2)

(kx + 1)^(2) = 8x

Square out the brackets

(kx)^(2) + 2kx + 1 = 8x

(kx)^(2) + (2k-8)x + 1 = 0

Apply the discriminant

b^(2) -4ac = 0

(2k - 8)^(2) - 4(k)^(2)(1)

4k^(2) - 32k + 64 - 4k^(2) = 0

32k - 64 = 0

32k = 64

k = 2

=64

0

a^(3) + a^(2)

Factors to

a^(2) [ a^(2) + 1 ]

NB THe terms in the square brackets do NOT factor. Reason, Any ywo squared terms with a positive (+) between then does NOT factor

Think of a^(2) + 1 as a^(2) + 1^(2) .

A pair of squared terms with a negative between them DOES factor.

So if you initial expression was a^(4) - a^(2)

Then

a^(2) [ a^(2) - 1^(2)]

a^(2)[a - 1)(a + 1) Fully factored.

Note the two different signs.

To solve an inequality, first isolate the variable on one side of the inequality sign, similar to how you would solve an equation. This involves performing the same operations on both sides, such as adding, subtracting, multiplying, or dividing, while remembering that if you multiply or divide by a negative number, you must reverse the inequality sign. After isolating the variable, express the solution in interval notation or graph it on a number line to represent all possible values that satisfy the inequality.

All three sides are of differentn lengths. All three angles are of different values.

However, the sum of the interior angles is ALWAYS 180 degrees.

13 yards @36 inches per yard.

If x=1 (because if x is 2 or more the number is really weird) then the gif is 2097152.

33.3333..... ( Recurring to infinity

or

33 1/3

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The main benefit of Oracle certification is that it provides a structured way to develop skills relevant to database administration, cloud engineering, and enterprise IT. However, practical experience is just as important as passing the exam.

sqrt(66) = sqrt(2 x 3 x 11) =

sqrt(2) X sqrt(3) X sqrt(11) or

2^(1/2) X 3^(1/2) X 11^(1/2) = 66^(1/2)

Since 2.3. & 11 are all prime number , their square roots are Irrational. Hence sqrt(66) is also irrational .

5

There are 48 years between 1964 to 2012. This is because 2012-1964=48.

Yes and they add up to 11x

In this simple construction, the horizontal and vertical lines are evident. The red line terminates at the middle of three closely spaced collinear points, which is equidistant from the other two. The red angle measures approximately 70.002°. Angles with values ​​very close to 8, 38, 134, and 46 degrees are also formed in the same construction.

6/11 - 1/2 =

12/22 - 11/22

1/22 The answer!!!!!

y = x - 4

x^(2) + y^(2) = 8

Hence

y^(2) = 8 - x^(2)

Square up the linear eq'n and substitute

Hence

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

NB Notice the RHS is wholly squared , not individual terms.

Substitute ; this eliminates 'y'

( x - 4)^(2) = 8 - x^(2)

Square out the brackets

x^(2) - 8x + 16 = 8 - x^(2)

Collect terms

2x^(2) -8x +8 = 0

Factor

2(x^(2) - 4x + 4) = 0

(x- 2)(x - 2) = 0

Hence x = 2 ( The 'x' coordinate) .

Substitute into either eq;n for 'y'

y = 2 - 4

y = -2

Hence

( x,y) = ( 2,-2) ; The point of contact of the tangent and the curve.

-2

2^(3) X 2^(2( X 2^(-1)

Per the law of indices .

When the coefficient is the same , '2' in this case, you add the indices.

Hence

2^(3 + 2 + -1)

2^(5 - 1)

2^(4) = 16

Verification

2&(3) = 8

2^(2( = 4

2^(-1( = 1/2

Hence

8 x 4 X 1/2 =

32 x 1/2 = 16

NB Laws of indices/

When the coefficient is the same in ALL cases.

#1 a^(n) X a^(m) = a^(n+m) ; Add the indices

#2 a^(n) divide a^(m) = a^(n-m) ; Subtract the indices )

#3 [a^(n)]^(m) = a^(nm( ; 'nesting' multiply the indices.

NB you cannot use these laws for different coefficients

e.g. a^(n) X b^(n) NOT allowed/.

e.g.

2^(2) X 3^(2) is NOT [2x3] ^(2 + 2)

Oh, what a happy little question! When you have 2 to the power of -6, it means you're taking the reciprocal of 2 to the power of 6. So, 2 to the negative 6th power is 1 over 2 to the 6th power, which simplifies to 1 over 64. Just a little fraction painting to brighten your day!

Oh, what a happy little question! When we have a number raised to a negative power, we can simply move it to the denominator to make it positive. So, 6 to the negative 4th power is the same as 1 over 6 to the 4th power, which simplifies to 1 over 1296. Just a little math magic to brighten your day!

You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.

You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.

You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.

You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.

2 miles + 327 yards = 2*5280 + 327*3 = 10560 + 981 = 11541 feet

Y Axis - Forward and Backward

X Axis - Left and Right

Z Axis - Physical UP and Down