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sp2606 [1]
3 years ago
9

Can Someone plz help me with the question??

Mathematics
2 answers:
Anestetic [448]3 years ago
7 0

Answer:

\boxed{x^2+y^2 = 49}

Step-by-step explanation:

First, we'll find the length of the radius using distance formula and the coordinates (0,0) and (7,0)

Distance Formula = \sqrt{(x2-x1)^2+(y2-y1)^2}

R = \sqrt{(7-0)^2+(0-0)^2}

R = \sqrt{7^2}

Radius = 7 units

<u><em>Now, Equation of circle:</em></u>

(x-a)^2+(y-b)^2 = R^2

Where (a,b) = (0,0) So, a = 0, b = 0 and R = 7 units

=> (x-0)^2+(y-0)^2 = (7)^2

=> x^2+y^2 = 49

This is the required equation of the circle.

Alika [10]3 years ago
4 0

Answer:

x^2 + y^2 = 49

Step-by-step explanation:

We can write the equation of a circle as

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

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

The radius is the distance from the center to a point on the circle

(0,0) to (7,0) is 7 units

so the the radius is 7

( x-0) ^2 + ( y-0) ^2 = 7^2

x^2 + y^2 = 49

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tiny-mole [99]
First you have to find what 30% of ten is, and then add it to the 10. So how do you find 30 % of 10? In math...

"of" means ×
"is" means =

30% of 10 is
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change 30% to a decimal by dividing by 100 ( move the decimal to the left 2 places)

.30 × 10 = 3

So 30% of ten is 3. Now since we are increasing by 30%, we have to add it to the original value, 10.

3 + 10 = 13

So 10 millimeters increased by 30% is

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8 0
3 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

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3 years ago
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4 0
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pickupchik [31]

answer:

5x=25

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5x/5=25/5

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