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3 years ago

EXPLANATION:

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Answer:

S = 7cm

Step-by-step explanation:

A = 49cm² = 7 × 7 (Square root of 49 as Area = s²)

S = 7cm

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Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

8 0

2 years ago

Select the correct answer.

Genrish500 [490]

B 16 miles an hour

Hope this helps

3 0

1 year ago

Determine the midpoint between the points (-5, 3) and (5, 9).

PSYCHO15rus [73]

Answer:

M (0, 6)

Step-by-step explanation:

By midpoint formula,

M [(x1+x2)/2 , (y1+y2)/2]

M [-5+5/2 , 3+9/2]

M (0/2 , 12/2)

M (0, 6)

4 0

1 year ago

Hat is the solution to the equation 3/3(4c + 16)=2c+9 ? c =

marusya05 [52]

If it is $\frac{3}{3(4c+16)}$ =2c+9, go to AAAAAA
if it is ( $\frac{3}{3}$ )(4c+16)=2c+9, go to BBBBB

AAAAAAAAA
$\frac{3}{3(4c+16)}$ =2c+9
$\frac{1}{4c+16}$ =2c+9
times 4c+16 to both sides
1=(2c+9)(4c+16)
distribute
1=8c^2+68c+144
minus 1 both sides
0=8c^2+68c+143
use quadratic formula
c= $\frac{-17- \sqrt{3} }{4}$ or $\frac{-17+ \sqrt{3} }{4}$

BBBBBBBBBBBB
(3/3)(4c+16)=2c+9
1(4c+16)=2c+9
4c+16=2c+9
minus 2c both sides
2c+16=9
minus 16 both sides
2c=-7
divide both sides by 2
c=-7/2
c=-3.5

if it is $\frac{3}{3(4c+16)}$ =2c+9,
c= $\frac{-17- \sqrt{3} }{4}$ or $\frac{-17+ \sqrt{3} }{4}$

if it is ( $\frac{3}{3}$ )(4c+16)=2c+9, c=-3.5

7 0

3 years ago

Read 2 more answers

Find the common difference of the arithmetic sequence, the next three terms, the equation, and the term given for 8, 10, 12, 14

fredd [130]

Answer:

see explanation

Step-by-step explanation:

In an arithmetic sequence the common difference d is

d = a₂ - a₁ = 10 - 8 = 2

To obtain the next term in the sequence add d to the previous term, that is

a₅ = 14 + 2 = 16

a₆ = 16 + 2 = 18

a₇ = 18 + 2 = 20

The next 3 terms in the sequence are 16, 18, 20

The n th term equation for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 2, thus

$a_{n}$ = 8 + 2(n - 1) = 8 + 2n - 2 = 2n + 6

5 0

2 years ago