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2 years ago

When simplifying the following problem what calculation should be done first:

Mathematics

1 answer:

Ganezh [65]2 years ago

7 0

(
−
2
)
(
6
)
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
5
−
4
+
2
)
=
−
12
+
3
(
1
+
2
)
=
−
12
+
(
3
)
(
3
)
=
−
12
+
9
=
−
3

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The equation of circle C is (x-8)^2+(y+3)^2=49. Find the center and radius of circle C.

Dominik [7]

C is the best option and compare it with the equation of circle to get values

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2 years ago

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You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

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3 years ago

What is the slope of (-4,6) and (2,-5)

Dominik [7]

Answer:

-11/6

Step-by-step explanation:

Slope can be found with this equation:

(y₁ - y₂) / (x₁ - x₂)

What this essentially tells us to do is to put one set of the x and y coordinates into x₁ and y₁, respectfully. Then, put the other set of x and y points as x₂ and y₂.

With this scenerio, we can substitute the given points into the formula.

(6 - (-5)) / (-4 - 2) =

(6 + 5 ) / (-6) =

11 / (-6) =

-11/6

The slope is - 11/6

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3 years ago

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nika2105 [10]

Answer:

he is faster than 95% of his team

Step-by-step explanation:

To finde this

First: Add Miguel to his 19 people equals 20 people

Next divide the 19/20

Providing the answer 0.95

to get the percentage multiply the decimal by 100: 0.95*100

= 95%

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3 years ago

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vekshin1

Answer:

d=8km

Step-by-step explanation:

explanation is in the image above

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2 years ago