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3 years ago

N (blank exponent) = 1/64 when n = 1/4

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

Answer:

The blank exponent is 3

Step-by-step explanation:

It is given that n^x=1/64 where n=1/4

1/4^x=1/64

1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.

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The circle C has centre A(2,1) and passes through the point B(10,7). Find and equation for C

Semmy [17]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

$A(2,1) - \hbox{the centre} \\
h=2 \\ k=1 \\ \\
(x-2)^2+(y-1)^2=r^2 \\ \\
\hbox{passes through B(10,7)} \\
x=10 \\
y=7 \\ \\
(10-2)^2+(7-1)^2=r^2 \\
8^2+6^2=r^2 \\
64+36=r^2 \\
r^2=100 \\ \\
\hbox{the equation:} \\ \boxed{(x-2)^2+(y-1)^2=100}$

7 0

3 years ago

3y - 21 = 12x<br> Help please

Irina18 [472]

Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
Y=7+4X

Simplifying
Y=7+4x
I hope this helps!! :)

3 0

3 years ago

Help pls I'm running out of points & brain cells lol T^T

marshall27 [118]

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

3 0

3 years ago

Read 2 more answers

What is tan angle QTR if line PR is tangent to circle T at Q, and TS = 1 cm?

lions [1.4K]

Tangent = opposite / adjacent

In the diagram:
TQ is the short leg or the opposite
QR is the long leg or the adjacent
TR is the hypotenuse. TS is part of the hypotenuse.

Tan(QTR) = TQ / QR

TS = 1 ; TQ = TS so, TQ = 1

Tan(QTR) = 1/QR

I think the answer is C.RQ

3 0

3 years ago

I really need help this is my second time......

KIM [24]

First find the area of the triangle,
(8.4 x 24)/2 = 100.8
Then find the area of the parallelogram,
24 x 12 = 288

Then add both,
100.8+288 = 388.8 yd^2

7 0

4 years ago