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erik [133]
3 years ago
6

Please someone help me

Mathematics
1 answer:
zlopas [31]3 years ago
5 0
Ann's score (14,205) is greater than the level 3 score by 30.
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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

6 0
3 years ago
Read 2 more answers
During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they so
blagie [28]
20%

20% of 30 =6
30+6 = 36

6 0
3 years ago
Read 2 more answers
Best Buy is giving you a free t.v. with purchase of a new refrigerator. The t.v. is 30 inches tall and 48 inches wide. How big i
user100 [1]

Answer:

57 inches

Step-by-step explanation:

The height, width, and diagonal of the TV screen form a right triangle.

Use the pythagorean theorem, a² + b² = c², and solve for c, the hypotenuse/diagonal of the TV.

a² + b² = c²

30² + 48² = c²

900 + 2304 = c²

3204 = c²

56.6 = c

Round this to the nearest inch:

56.6

= 57

So, the diagonal of the TV screen is 57 inches

5 0
2 years ago
A line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line​
Sonja [21]

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
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