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3 years ago

If square ABCD with side length of 7 units is reflected over the line y=x, what is length A'B'?

Mathematics

1 answer:

Art [367]3 years ago

5 0

Answer:

Step-by-step explanation:

Reflection is a rigid transformation, so the side length does not change.

A'B' = 7

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The number of views on an interesting video after it's uploaded is represented by the following table:

defon

Answer:

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data is $,V(t)=50(6.25)^t$

Step-by-step explanation:

Time (months) Views

0 50

2 313

4 1950

6 12,210

8 76,300

10 476,800

$(x_1,y_1)=(0,50)\\(x_2,y_2)=(2,313)\\(x_3,y_3)=(4,1950)$

$Slope = \frac{y_2-y_1}{x_2-x_1}$

$Slope = \frac{313-50}{2-0}$

Slope =131.5

$Slope = \frac{y_3-y_2}{x_3-x_2}$

$Slope = \frac{1950-313}{4-2}$

Slope =818.5

Since the slope is not same . So, it is not a linear relationship

$\frac{y_2}{y_1}=\frac{313}{50}=6.25\\\frac{y_3}{y_2}=\frac{1950}{313}=6.25$

Since the ratio between the consecutive outputs is same so, it is exponential relationship.

Formula : $y=ab^t$

Where a is the initial value = 50

b = rate of change = 6.25

The model for V(t) ,the number of views, t ,months after it's uploaded, best fits the data

So $,V(t)=50(6.25)^t$

5 0

2 years ago

Which algebraic expression is a difference with two terms

svetoff [14.1K]

" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7

3 0

2 years ago

Read 2 more answers

Given the functions, f(x)=x^3+2 and g(x)=x-9, perform the indicated operation. When applicable, state the domain restriction. (f

tiny-mole [99]

The domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0

because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed

the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x

9 is restricted from the domain
domain is all real numbers except 9

so
$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}=$
$\frac{x^3+2}{x-9}$
the domain is all real numbers except for 9

7 0

2 years ago

Could someone help me out? Because I don't understand shapes and could you tell me how you know or give me a reason why. Thank y

snow_lady [41]

3. Trapezoid- only one pair of parallel sides
4. Parallelogram- opposite sides are parallel and equal in length and opposite angles are equal
5. Rhombus- all sides have an equal length, opposite sides are parallel, and opposite angles are equal
6. Kite- have two pairs of sides, each made up of adjacent sides that are equal in length. Angles are equal where pairs meet.
7. Isosceles Trapezoid- have a pair of opposite parallel sides that are equal in length.

4 0

2 years ago

Rationalize the denominator.

Maslowich

If you're using the app, try seeing this answer through your browser: brainly.com/question/3166412

——————————

$\mathsf{\dfrac{\sqrt{a}+2\sqrt{y}}{\sqrt{a}-2\sqrt{y}}}$

Multiply and divide by the conjugate of the denominator, which is $\mathsf{\sqrt{a}+2\sqrt{y}:}$

$\mathsf{=\dfrac{\big(\sqrt{a}+2\sqrt{y}\big)\cdot \big(\sqrt{a}+2\sqrt{y}\big)}{\big(\sqrt{a}-2\sqrt{y}\big)\cdot \big(\sqrt{a}+2\sqrt{y}\big)}}\\\\\\ \mathsf{=\dfrac{\big(\sqrt{a}+2\sqrt{y}\big)^2}{\big(\sqrt{a}-2\sqrt{y}\big)\cdot \big(\sqrt{a}+2\sqrt{y}\big)}}$

The numerator is a square of a sum, and the denominator is the product of a difference and a sum (product of two conjugates). Then, expand the common products:

$\mathsf{=\dfrac{\big(\sqrt{a}\big)^2+2\cdot \sqrt{a}\cdot 2\sqrt{y}+\big(2\sqrt{y}\big)^2}{\big(\sqrt{a}\big)^2-\big(2\sqrt{y}\big)^2}}\\\\\\ \mathsf{=\dfrac{a+4\cdot \sqrt{a}\cdot \sqrt{y}+2^2\cdot \big(\sqrt{y}\big)^2}{a-2^2\cdot \big(\sqrt{y}\big)^2}}$

$\mathsf{=\dfrac{a+4\sqrt{ay}+4y}{a-4y}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

8 0

2 years ago