MATHEMATICS MIDDLE SCHOOL

Which are the center and radius of the circle with equation (x + 5)2 + (y - 4)2 = 9?

Answers

Answer 1

Answer:

Answer:

Center (-5,4) radius 3

Step-by-step explanation:

The standard equation of a circle is

(x-h)^2+(y-k)^2=r^2

where the center is (h,k) and r is the radius

so h=-5 in this case and k is 4

r^2=9 so r=3

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Andy Runs 436.8 meters in 62.08 seconds. If Andy runs at a constant speed,how far does he run in 1 second round your answer to the nearest tenth

Answers

Hence, he runs in one seconds is $7$ meter per second.

What is the rounded values?

Rounding means making a number simpler but keeping its value close to what it was.

Here given that,

Andy Runs $436.8$ meters in $62.08$ seconds.

$(436.8)/(62.08)\n\n\=(436.8)/(62.08)\n\n=7.04\n\n=(7.04)/(1)\n\n=(7.0)/(1)\n\n=7$

Here, $(7.04)/(1)$ is the distancecovered by Andy in one second.

Hence, he runs in one seconds is $7$ meter per second.

To know more about the rounded values

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Answer: Andy runs 7 meters per second.

436.8/62.08 = x/1

436.8/62.08=7.04

7.04/1 =7.0/1

Hope that help!:)

Solve the equation below for x.
log2x + log(2x - 1) = log3x

Answers

Answer:

x = 5/4

Step-by-step explanation:

1. cancel x for log 3x and 2x

2. multiply log 2x-1 by log 2

3.simplify to log 4x-2 = log3

4.logs will cancel out and leave you with 4x-2 = 3

5. solve and get 5/4

Answer:

x = 5/4

Step-by-step explanation:

4,16,8,32,16,
What comes after

Answers

Your answer is 64.
If you look at it the pattern is:
Multiply by 4, then divide by 2
4 times 4= 16
16 divided by 2= 8
8 times 4= 32
32 divided by 2= 16
Now you would multiply by 4
16 times 4= 64

the pattern is:
multiply by 4, divide by 2, multiply by 4...etc
so what comes next is 16*4=64

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.

Answers

a square. Only a square could have 4 right angles and 4 sides the same length

What is 340 pages; 20 percent decrease

Answers

The required, 20 percentdecrease from 340 pages is 272 pages.

To calculate a 20 percent decrease from 340 pages, we need to find 20 percent of 340 and subtract it from the original value.

Step 1: Calculate 20 percent of 340:

20% of 340 = (20/100) * 340
= 0.2 * 340
= 68

Step 2: Subtract the result from the originalvalue:

340 - 68 = 272

Therefore, a 20 percentdecrease from 340 pages is 272 pages.

Learn more about percentages here:

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272 pages since you multiply .8 with 340(or 340 and .2 and subtract it from 340)

Which shape is ALWAYS a type of rectangle?

Answers

Square is always a type of rectangle! So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

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Write the equation of a line that passes through the point (-2, 1) and has a slope of 4.

Anaya found the slope of the line that Passes through the points (-7,4) and (2,-3). Her work is shown below.