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3 years ago

Write the expression in exponential form. log 3^9= 2

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

Answer: 3^2

Step-by-step explanation:

remember logb a=n <---> a=b^n

so therefor the answer is log3 9=2 ---> 9 = 3^2

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Math questions part 2<br> pls help

ohaa [14]

e in f i think also in i am sorry for calling you names i just get mad when people call me a lier! in i did want to be your friend but you dont want to be my friend in thats fine i just want to let you know i am sorry!

5 0

3 years ago

determine an equation and the radius for the circle that has its centre at the origin (0,0) passes through the point A 4-3

g100num [7]

Given:

The center of the circle is at (0,0).

The circle passes through the point A(4,-3).

To find:

The radius and the equation of the circle.

Solution:

Distance formula:

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

The radius of the circle is the distance between the points (0,0) and (4,-3).

$r=\sqrt{(4-0)^2+(-3-0)^2}$

$r=\sqrt{(4)^2+(-3)^2}$

$r=\sqrt{16+9}$

$r=\sqrt{25}$

$r=5$

So, the radius of the circle is 5 units.

The standard form of a circle is

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

Where, (h,k) is center of circle and r is the radius.

Putting h=0, k=0, r=5, we get

$(x-0)^2+(y-0)^2=5^2$

$x^2+y^2=25$

Therefore, the radius of the circle is 5 units and the equation of the circle is $x^2+y^2=25$ .

6 0

3 years ago

A bag contains 12 red marbles, 10 green ones, 2 yellow ones, 19 blue ones, & 9 purple marbles. What is the probability of pu

Reika [66]

Add up all the amounts of marbles, which gives you 52, then see how many greens ones there are.
So the answer would be 10/52

5 0

3 years ago

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t7 + 1, y = t8

Jet001 [13]

I must assume that you meant t=1 (not t=?1). If t=1, here's what we'd do:

1. Find the x and y values corresponding to t=1. They are:
x=(1)^7+1=2 and y=(1)^8+1=2. (Please note: write t^8 instead of t8, and write t^7 instead of t7.)
2. The slope of the tangent line to the graph is
dy/dt 8t^7+1
dy/dx = ---------- = ---------------- with 1 substituted for t
dx/dt 7t^6

Thus, dy/dx (at t=1) = 9/7

3. Now we have both a point (2,2) on the graph and the slope of the tangent line to the curve at that point: 9/7

4. The tangent line to the curve at (2,2) is found by using the point-slope formula:

y-y1 = m(x-x1)

which comes out to y-2 = 9/7(x-2), or 7y-14 = 9(x-2). You could, if you wished, simplify this result further (e. g., by solving for y in terms of x).

8 0

3 years ago

2x - 5y = 4<br> 3x - 7y = 5

VMariaS [17]

Answer:

(-3,-2)

Step-by-step explanation:

2x-5y=4

3x-7y=5

solve the equation

x=2+5/2y

3x-7y=5

substitute the value of x into an equation

3(2+5/2y)-7y=5

multiply 3 to 2. and. 3 to 5/2y

6+15/2y-7y=5

minus 6 to 5 and. add 15/2y to -7y

-1/2y=1

divide both sides by -1/2

y= -2

substitute the value of -2 into an equation

x=2+5/2•(-2)

multiply 5/2 to -2

x=2+-5

add but since 5 is negative then subtract the numbers

x= -3

combine y= -2 and x= -3 as a point

So the answer is (-3,-2)

3 0

3 years ago