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riadik2000 [5.3K]

2 years ago

7

Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)

1 answer:

chubhunter [2.5K]2 years ago

7 0

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

Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10

Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2

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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.

Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

$a_n=a_1+(n-1)d$

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

$a_7=a_1+(7-1)d$

$40=a_1+6d$

$a_1+6d=40$

a18 = 106

$a_1_8=a_1+(18-1)d$

$a_1+17d=106$

we can subtract both equations

$a_1+17d-a_1-6d=106-40$

$11d=66$

$d=6$

now, we can find a1

$a_1+6d=40$

we can plug d=6

$a_1+6*6=40$

$a_1=4$

12th term:

$a_1_2=a_1+(12-1)d$

now, we can plug values

$a_1_2=4+(12-1)*6$

$a_1_2=4+66$

$a_1_2=70$

so, 12th term is 70...........Answer

3 0

3 years ago

Need an answer for the question

inysia [295]

Answer:

x = 8/13

Step-by-step explanation:

6 - 3x - 3/5(15x + 20) = 7(2x/7 - 2) - x

6 - 3x - 9x - 12 = 2x - 14 - x

6 - 12 + 14 = 2x - x + 3x + 9x

8 = 13x

x = 8/13

4 0

2 years ago

Name the slope and the y intercept for the equation y= 5x -7

NeTakaya

Answer:

The slope is 5x and the y-intercept is -7

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Perform the indicated operation. -10 + 15 <br><br> -5 <br> 5 <br> 25 <br> -25

Ulleksa [173]

The answer is 5 because if you add 10 to -10 it is 0 then add the 5 more and it is 5.

8 0

2 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the

makkiz [27]

$f(t)=h=-16t^2+20t+6

$

a=-16, b=20, c =6

Δ= $b^2-4ac=20^2-4*(-16)*6=400+384=784$

$\sqrt{Δ}=\sqrt{784}=28$

max:

$p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}$

max heigh: $h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6$

$h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}$

$h=\frac{49}{4}$ at $t=\frac{5}{8}s$

will fall down at t:

$t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5$

$t=1.5s$

8 0

2 years ago