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4 years ago

If the side of a square is doubled in length, what is the percentage increase in area

Mathematics

1 answer:

ycow [4]4 years ago

8 0

Doubling the side length multiplies the area by 4

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Which is the correct input-output table for the function f(x) = 3x2 - 1+4?

krok68 [10]

Answer:

the question is incorrect. please write your points as coordinates or scan the diagram.

4 0

3 years ago

Which of these describes the equation –18x + 9y = –416?

Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Important Tip:

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

$18x + 9y = -416$

subtract 18x from both sides

$18x+9y-18x = - 18x-416$

simplify

$9y = -18x - 416$

divide both sides by 9

$y=-2x-\frac{416}{9}$

Now, comparing the equation $y=-2x-\frac{416}{9}$ with a slop-intercept form of linear equation

The slope m = -2

The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form $y = mx + b$ .

From the attached graph, is also clear that the graph of the equation $y=-2x-\frac{416}{9}$ is a straight line.

Hence, option D is correct.

3 0

3 years ago

Read 2 more answers

In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

3 years ago

Simplify the expression given below. x+2/ 4x^{2} +5x+1 *4x+1/2x-4[/tex]

VashaNatasha [74]

Answer:

pls write understandably

7 0

3 years ago

Graph y=(x+2)^2-3 Show Vertex

nikklg [1K]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad 
\begin{cases}
h=-2\\
k=-3
\end{cases}$

3 0

3 years ago