Rewrite the following equation in standard form. y = -x-1
1 answer:
You might be interested in
Answer:
d.
Step-by-step explanation:
The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.
becomes, after following the power rule:
x ln(2) = (x + 1) ln(3). We will distribute on the right side to get
x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:
x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:
x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:
. We can factor out the ln from the left to simplify a bit:
. Divide both sides by ln(2/3) to get the x all alone:
On your calculator, you will find that this is approximately -2.709
The measure of the angle B is 30 degree after applying the sin law of triangle.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
Learn more about the triangle here:
#SPJ1
Answer:
10000 cm to 1000 m ratio is 1:10
Step-by-step explanation:
To find : The simplified ratio correctly compares 10,000 centimeters to 1000 meters.
Solution :
To find the ratio first we make the unit same.
1 m= 100 cm
1000 m= 1000 × 100 cm
1000 m= 100000 cm
Now, to compare 10,000 cm to 1,00,000 cm
The ratio is
10000 cm to 100000 cm ratio is 1:10
or 10000 cm to 1000 m ratio is 1:10