MATHEMATICS HIGH SCHOOL

If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is (5, 7) (-5, 7) (5, -7) If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its radius is 6 16 36
If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, the center is point (2, 6).
a. True
b. False
The distance between A (-5, 3) and B(5, 3) is. 3 6 10

Answers

Answer 1

Answer:

Answer:

Part 1. Center point is ( -5 , 7 ).

Part 2. Radius is 6

Part 3. False

Parts 4. Distance between A & B is 10.

Step-by-step explanation:

Standard Equation of circle is ,

( x - h )² + ( y - k )² = r²

where, ( h , k ) is coordinate of center of circle and r is radius of circle.

Part 1.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( -5 , 7 )

Thus, 2nd Option is correct.

Part 2.

Comparing with standard equation of circle we get,

radius of circle = 6

Thus, 1st Option is correct.

Part 3.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( 2 , 3 )

Thus, False.

Part 1.

Distance between two point given by $√((x_2-x_1)^2+(y_1-y_1)^2)$

Distance between A( -5 , 3 ) & B ( 5 , 3 ) = $√((-5-5)^2+(3-3)^2)$

= $√((-10)^2+0^2)$

= $10$

Thus, 3rd Option is correct.

Answer 2

Answer: Hello,
1): its center point is (-5,7). Answer B
2):radius is 6 Answer A
3) Anwser A true
4)|AB|=√((5+5)²+(3-3)²)=10 Answer C

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Donovan bought 5 1/2 kilograms of flour for $8.25 how much is the unit rate per kilogram of flour?

add and simplify 9/16=1/2=?

Answers

$(9)/(16)+(1)/(2)=(9)/(16)+(8)/(16)=(17)/(16)=1(1)/(16)$

I hope I helped :D

9/16+ 1/2= 9/16 + 8/16= 17/16 simplified as 1 1/16

Brandon mixed 6.83 lb of cashews with 3.57 lb of pistachios. after filling 6 bags of same size and mixture, he had 0.35 lb left. what's the weight of each bag? use tape diagram

Answers

Not sure what a tape diagram is but i can solve and explain for you....
weight in total = 6.83 + 3.57 = 10.4 lb
x = weight for one bag
6x = weight for all 6 bags

Then form an equation that will allow you to work out x

6x + 0.35 = 10.4
subtract 0.35 from both sides
6x = 10.05
then divide both sides by 6 to get x on its own
x = 1.675
one bag weighs 1.675 lb

The weight of each bag filled by Brandon, is $\fbox{\bf1.675\,lb}$ .

Further explanation:

The amount of cashews and pistachios mixed are $6.83\,lb$ and $3.57\,lb$ respectively then the total weight of mixture is the sum of cashews and pistachios.

After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is $0.35\,lb$ .

Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.

$\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\n&=10.4-0.35\n&=10.05\n\end{aligned}$

Now, this obtained amount of mixture weighing $10.05\,lb$ is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,

$\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\n&=1.675\n\end{aligned}$

Thus, the weight of each of the six bags that Brandon fills, is $\fbox{\bf1.675\,lb}$ .

Learn more:

1. Linear equation application brainly.com/question/2479097

2. Composite functions brainly.com/question/2142762

3. Linear equation application brainly.com/question/2479097

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.

Which of the following is equivalent to the expression below? 9^10*9^x

Answers

Answer:

Step-by-step explanation:

$a^(m)*a^(n)=a^(m+n)\n\n9^(10)*9^(x)=9^(10+x)$

In exponent multiplication, if the bases are same then add the exponents.

$\small \sf \leadsto 9 {}^(10 +x)$

Step-by-step explanation:

Using exponent's product rule

$\small \sf \: x {}^(n) * x {}^(m) = x {}^(n + m)$

$\small \sf \leadsto \: 9 {}^(10) * 9 {}^(x)$

$\small \sf \leadsto 9 {}^(10 + x)$

Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)A) 4 m/s2
B) 5 m/s2
C) 6 m/s2
D) 7 m/s2

Answers

The correct answer is B) 5 m/s².

Explanation:
To find acceleration, we find the ratio of the change in velocity to the change in time. The change in velocity is 45-5=40. It takes 8 seconds, so the change in time is 8. 40/8=5.

the answer is 5 because acceleration=change speed/change time
change time=8
change speed=45-5=40
40/8=5

5 m/s^2 is acceleration

What is the average (mean) of the following numbers: 2, 5, 8, and 1? Options: 4 3 5 4.5

Answers

Answer:

mean = 4

Step-by-step explanation:

the average ( or mean ) of a data set is calculated as

mean = $(sum)/(count)$

sum = 2 + 5 + 8 + 1 = 16

count = 4 ( number of values in data set )

substitute these values into the formula for mean

mean = $(16)/(4)$ = 4

Final answer:

The mean (average) of the numbers 2, 5, 8, and 1 is calculated by adding the numbers together (which gives 16), and then dividing this sum by the total number of numbers (4). So, the mean of these numbers is 4.

Explanation:

The subject of this question is Mathematics and it relates to the concept of statistical mean (average). To find the mean of the numbers 2, 5, 8, and 1, you add them all up and then divide by the number of numbers.

First, add the numbers together: 2 + 5 + 8 + 1 = 16.
Then, divide by the total number of numbers, which in this case is 4. 16 divided by 4 is 4.

So, the mean (average) of 2, 5, 8, and 1 is 4.

Learn more about Mean (average) here:

brainly.com/question/24581680

#SPJ11

Mario travels 180 miles in 2.5 hours of Mario travels at the same right how far can Mario travel in 12.5 hours

Answers

12.5/2.5=5
5x180= 900

Answer:

900 miles

Step-by-step explanation:

well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900

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