The area of the parallelogram is (4x+16)(4x+16) square feet. write an expression for the base. expression for the base: 16x ft

Answer:

In a parallelogram, opposite sides are congruent.

Step-by-step explanation:

Writing the lengths of the sides of the parallelograms shows him a pattern for the side lengths of opposite sides.  Doing this will show him that opposite sides are congruent.

Final answer:

To solve for y in the equation 3x - 5y = 8, we subtract 3x from both sides and then divide by -5, resulting in y = (3/5)x - 8/5.

Explanation:

Solving for y in the equation 3x - 5y = 8

To solve for y in the equation 3x - 5y = 8, we need to isolate y on one side of the equation. Here are the steps:

Start with the original equation: 3x - 5y = 8.

Subtract 3x from both sides of the equation to get -5y = -3x + 8.

Divide each term by -5 to solve for y: y = (3/5)x - 8/5.

So the solution for y in terms of x is y = (3/5)x - 8/5.

Final answer:

To find a polynomial with given zeros 2+i and 2, include the conjugate 2-i to ensure rational coefficients, resulting in the polynomial x^2 - 4x + 3.

Explanation:

Finding a Polynomial with Given Zeros

To find a polynomial function of the lowest degree with rational coefficients that has 2+i and 2 as some of its zeros, you should remember that complex zeros in polynomials with real coefficients come in conjugate pairs. This means that if 2+i is a zero, so is its conjugate 2-i. You now have three zeros: 2, 2+i, and 2-i.

The polynomial with these zeros can be written as (x-2)(x-(2+i))(x-(2-i)). To find the polynomial, we simply multiply these factors:

Now add the resulting quadratics:

This results in:

Which simplifies to x2 - 4x + 3. Thus, the required polynomial function of the lowest degree is x2 - 4x + 3.

Answer: I just did the test and the correct answer was (9,3) 9 on the x axis and 3 on the y and (4,9) 4 on the x axis and 9 on the y

Step-by-step explanation:

The restriction of the outright worth of x as x methodologies 0 will be 0. Outright worth guarantees that the result is non-negative, and as x methodologies zero from one or the other side, the outcome stays at 0.

The inquiry you're posing relates to the furthest reaches of the outright worth capability as the variable x methodologies are the worth of nothing. In science, explicitly in math, we assess cutoff points to comprehend the way of behaving of capabilities as they approach a specific point.

To track down the breaking point as x methodologies 0 of the outright worth of x, signified as lim x→0 |x|, we want to think about the meaning of outright worth. The outright worth of a number is the non-negative worth of that number regardless of its sign. In this manner, as x methodologies 0 from either the positive or negative side, the outright worth of x will likewise move toward 0.

Consequently, the cutoff is 0, since as x gets increasingly close to nothing, so does the outright worth of x.

Answer:

if its the diagram i think then:

f = 6cm

g = 8cm

Step-by-step explanation:

square = 48cm²

triangle = 12cm²

24 / 4 = 6

AD = 6cm

So

BC = 6cm

CD = 48 / 6 = 8cm

CD = 8cm

f = 6cm

g = 8cm

In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid. Therefore, the length of BC is 6cm and the length of CD is 8cm.

In geometry, a quadrilateral with at least each pair of parallel sides is referred to as a trapezoid both Canadian and American English, and perhaps a trapezium in British as well as other forms of English. In Euclidean geometry, a trapezoid is a convex quadrilateral by definition.

The bases of a trapezoid are the parallel sides. If the remaining two sides are parallel, they are referred to as the legs; if not, the trapezoid is indeed a parallelogram, with 2 sets of bases. A trapezoid without equal-sized sides is called a scalene trapezoid.

area of square = 48cm²

area of triangle = 12cm²

24 / 4 = 6

AD = 6cm

BC = 6cm

CD = 48 / 6 = 8cm

CD = 8cm

f = 6cm

g = 8cm

Therefore, the length of BC is 6cm and the length of CD is 8cm.

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Your question is incomplete but most probably your full question was,

The diagram shows a trapezium ABCD in which BC parallel to AD. What is the length of BC and CD.

The correct answer is

4

:)

Answer:

4/3

Step-by-step explanation:

a2 = 324 and a4 = 36

second term is 324  and fourth term is 36

[tex]a_n= a_1(r)^{n-1}[/tex]

To get second term, replace n with 2

[tex]a_2= a_1(r)^{2-1}[/tex]

[tex]a_2= a_1(r)[/tex]

replace a2 with 324

[tex]324= a_1(r)[/tex] -----------> equation 1

To get fourth term , replace n with 4

[tex]a_4= a_1(r)^{4-1}[/tex]

[tex]a_4= a_1(r)^3[/tex]      

Replace the value

[tex]36= a_1(r)[/tex]  -----------> equation 2

divide second equation by first equation

[tex]36= a_1(r)^3[/tex]    divide by [tex]324= a_1(r)[/tex]

1/9 = r^2

take square root on both sides

1/3= r

now we find a1

[tex]324= a_1(r)[/tex]  

[tex]324= a_1(\frac{1}{3})[/tex]

multiply by 3 on both sides

972= a_1

So a1= 972,  r= 1/3

now find out 7 term by replacing 'n' with 7

[tex]a_7= 972(\frac{1}{3})^{7-1}[/tex]

So 7th term is 4/3

The length of each piece of wire is about 14.7 inches.

Division is the process of dividing a number by a given number.

Given that, the length of the wire is 132 inches.

Now, the wire is cut into 9 equal pieces, therefore, the length of each piece is:
132/9

= 14.7 inches

Hence, the length of each piece of wire is about 14.7 inches.

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Equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2) is y + 10 = -(x - 3).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given it has points (3,-10) and (-5,-2) and we know slope(m)

= (y₂ - y₁)/(x₂ - x₁).

= (-2 + 10)/(-5 - 3).

= 8/-8.

= -1.

Equation of a line in point-slope form is (y - y₁) = m(x - x₁).

y - (-10) = -1(x - 3).

y + 10 = -(x - 3).

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Answer:

16, 25

Step-by-step explanation:

the next two terms in the sequence. 0, 1, 4, 9, ...

Lets find the difference between the two terms

1-0 = 1

4-1=3

9-4= 5

the terms are increasing by odd numbers

0, 1, 4, 9, ...

 \/  \/  \/

+1   +3  +5

The next term will increase by +7

9+7= 16

Next term is 16

Next term will increase by 9

16 + 9 = 25

so , next two terms are 16 and 25

The translation of the image can be describe as

x – 3

y + 6

Since the transformation that is made is purely translation, therefore this means that the original image and the new image will never intersect and hence:

Parallel

If the two are extended we can actually see that they will never meet.

1.

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96

x^2 = 23.04

x = sqrt(23.04) = 4.8

2. y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4

Answer:

x^2 + 6.4^2 = 8^2

x^2 = 40.96 = 64

x^2 = 64 -40.96  

x^2 = 23.04  

x = sqrt(23.04) = 4.8

 y=

y^2 + 3^2 = 5^2

y^2 +9 = 25

y^2 = 25-9

y^2 = 16

y = sqrt(16) = 4