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3 years ago

Which exponential equation is equivalent to the logarithmic equation below?

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

4 0

Answer:

c. e^c=2

Step-by-step explanation:

$c=ln2 \\e^{c} = e^{ln2 } \\e^{c} =2$

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RSTU is a rectangle with vertices at R(-3,1), S(1 ,1), T(-3,3) and U (1, 3). Describe two lines of reflection that would carry t

miss Akunina [59]

Answer:

The two lines of reflection are $x=-1$ and $y=2$

Step-by-step explanation:

I will attach a file with the graph of the rectangle and the lines of reflection.

We know that RSTU is a rectangle with vertices at $R=(-3,1)$ , $S=(1,1)$ ,

$T=(-3,3)$ and $U=(1,3)$

The first step is to draw the vertices on the plane and them the rectangle.

The rectangle is a symmetrical figure. Therefore if we want to carry the rectangle onto itself using a line of reflection this line must goes through the centroid of the rectangle.

Given that we have a rectangle whose width is $a$ and its length is $b$ its centroid will be place at $(\frac{a}{2},\frac{b}{2})$ .

Looking at the graph and using this information we find that the two lines of reflection are $x=-1$ and $y=2$ .

6 0

3 years ago

A triangle having sides of 2, 2, and 3 contains an obtuse angle.<br> True<br> False

anygoal [31]

Answer: FALSE .
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5 0

4 years ago

Read 2 more answers

Two angles are supplementary. One angle can be represented by 2x, while the other by 3x-10. What is the value of 2x? Based on th

liubo4ka [24]

Supplementary angles = 180
2x +3x-10 = 180
5x -10 =180
5x -10 +10 =180+10
5x =190
5x/5 =190/5
x = 38
2x=76
3x-10= 3(38)-10=104

The measure of angles are 76 and 104

6 0

3 years ago

When two equal forces are inclined at an angle 2a their resultant is twice as great as

swat32

Step-by-step answer:

Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals

Ra = 2Fcos(a) ..............................(1)

Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals

Rb = 2Fcos(b)..............................(2)

We are given that

Ra = 2Rb ....................................(3)

Substitute (1) & (2) in (3) gives

2Fcos(a) = 2(2Fcos(b))

Expand

2Fcos(a) = 4Fcos(b)

Simplify

cos(a) = 2 cos(b) QED

Note: Please note that you might have a faster response if you posted this question in the physics or the (new) Engineering section.

Have a nice day!

5 0

3 years ago

Solve for x -6 >_ 10 - 4x

Otrada [13]

We are given this inequality,

$-6\geq10-4x$

We will follow these steps to solve it:

Step 1:

First let us bring 10 to the left side.

10 is in addition on right, so we apply opposite operation of addition that is subtracting 10 from left side, we get

$-6-10\geq-4x$

$-16\geq-4x$

Step 2:

Next we have to eliminate -4 which is in multiplication with x on the right side.

So applying opposite operation of multiplication that is dividing both sides by -4.

We have to consider here that when we divide or multiply with a negative the sign of inequality reverses, that is ≥ becomes ≤ and vice versa.

$\frac{-16}{-4}\leq x$

x≥4

Answer is last option x≥4.

6 0

3 years ago