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viva [34]
3 years ago
12

Which expression is equivalent to

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

144^(3/2) = √(144^3) = 1,728

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Can you find the perimeter of rectangle if you are given juat the measure of two sides?
Naddika [18.5K]
It depends, if the two sides given are adjacent to each other then yes. but you are given two opposite sides then no, because you don't know the length of one of the sides, thus not being able to calculate the perimeter
6 0
3 years ago
Graph f(x) = x2 + 2x - 3, label the function’s x-intercepts, y-intercept and vertex with their coordinates. Also draw in and lab
Semenov [28]
<h2>Answer with explanation:</h2>

The given function : f(x)=x^2+2x-3

Using completing the squares, we have

f(x)=x^2+2x+1-1-3        [∵ (x+1)^2=x^2+2x+1]

f(x)=(x+1)^2-4      (1)

Comparing (1) to the standard vertex form f(x)=(x-h)^2+k , the vertex of function is at (h,k)=(-1,-4)

For x-intercept, put f(x)=0 in (1), we get

0=(x+1)^2-4\\\\\Rightarrow\ (x+1)^2=4    

Square root on both sides, we get

x+1=\pm2\\\\x+1=-2\ or\ \ x+1=2\\\\=x=-3\ \ or\ x=1

∴ x intercepts : x= (-3,0) and (1,0)

For y-intercept put x=0 in (1), we get

f(1)=(1)^2-4=1-4=-3  

∴ y intercept : (0,-3)

Axis of symmetry : \dfrac{-b}{2a}

In f(x)=x^2+2x-3 , a=1 and b=2

Axis of symmetry=\dfrac{-2}{2(1)}=-1

5 0
3 years ago
How can you use formulas you already know to find the area and perimeter of a composite figure? The six lane track shown in the
evablogger [386]

The area of the composite figure = 10,874.1 sq. m.

The perimeter of the composite figure = 406.9 m

<h3>What is the Area and Perimeter of a Rectangle and Circle?</h3>

Perimeter of a rectangle = 2(length + width)

Area of a rectangle = length × width

Perimeter of a circle = 2πr

Area of a circle = πr²

<h3>What is Area of the composite figure?</h3>

The figure is made up of two semicircles (1 full circle) and a rectangle.

Area of the composite figure = area of circle + area of rectangle

= πr² + length × width

r = 36.5 + 1.2 = 37.7 m

length = 85.0 m

width = 2(36.5) + 2(1.2) = 75.4 m

Substitute

Area of the composite figure = π(37.7)² + 85.0 × 75.4 = 10,874.1 sq. m.

<h3>What is Perimeter of the Composite Figure?</h3>

Perimeter of the composite figure = perimeter of circle + 2(length of the rectangle)

= 2πr + 2(L)

Plug in the values

= 2π(37.7) + 2(85.0)

Perimeter of the composite figure = 406.9 m

Learn more about composite figures on:

brainly.com/question/391747

6 0
2 years ago
Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinn
hammer [34]

Answer:

1/18

Step-by-step explanation:

yur welcome

3 0
3 years ago
The population of a small rural town in Iowa went from 5700 people in 1998 to 7945 in 2005. What is the rate of change in the po
Lina20 [59]
Maybe about 39% increase

try that, might be right.
4 0
3 years ago
Read 2 more answers
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