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Bond [772]
3 years ago
7

Cos^-1 sqrt 2/2 exact value

Mathematics
1 answer:
Leto [7]3 years ago
8 0
\sf cos^-1 (\frac{\sqrt{2}}{2})=cos^-1 (\frac{1}{ \sqrt{2}})= \frac{ \pi }{4} ={\boxed{45\°}
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What is the sum of (2a - 3b) and (5b - a)
GalinKa [24]

Answer:

\boxed{a + 2b}

Step-by-step explanation:

=  > (2a  - 3b) + (5b - a) \\  \\  =  > 2a - 3b + 5b - a \\  \\  =  > 2a - a + 5b - 3b \\  \\  =  > a + 2b

8 0
3 years ago
Which of the following shows the correct work and solution to the exponential equation 5x - 1=25
olga_2 [115]

We have the expression:

5^{x-1}=25

And we need to solve this for x.

Let's solve this expression and then see which of the options is the correct one.

The first step to solve this is that we need for the two sides of the equation to have the same base. (the number 5 on the left side is the base, so we need to also have a 5 as the base on the right side).

We do this by noting that:

25=5^2

We know that 25 is equal to 5 squared (because 5x5 is 25)

So the first step is to substitute 25 for 5 squared:

5^{x-1}=5^2

Since we have the same base on both sides (5), we follow the rule:

• If we have the same base on both sides of an equation, the exponents have to be equal

Thus, the second step to solve is to equal the exponents:

x-1=2

Finally, to solve this equation for x, we just need to add 1 to both sides to get rid of the -1 on the left side:

\begin{gathered} x-1+1=x=2+1 \\  \end{gathered}

And the third step is:

x=3

As we can see, these three steps are represented in the third option In which we get the same result of x=3.

Answer: x=3

8 0
1 year ago
Help again pleaseeeeeee
lisabon 2012 [21]
Ok so we have the parabola at origin of y=-12 and crosses x-axis at points x=1,8 so, we could just look at where it crosses the x-axis and find it directly from there. it crosses x-axis at 1 and 8 so the answer can only be A to fit this criteria

4 0
3 years ago
Read 2 more answers
X^2 - 4x + 3 how do I factor the expression completely
Ipatiy [6.2K]
Bx must be the sum of the numbers in the bracket and c must be the product. So we need to choose 2 numbers that multiply to make 3 and add to make -4.

A negative x negative = positive so
-3*-1=3
-3-1=-4

Therefore:
(x-3)(x-1)
8 0
3 years ago
Read 2 more answers
Ella’s Cafe uses 3/10 of a bag of coffee every day. For how many days will 2 7/10 bags of coffee last? Simplify your answer and
Vilka [71]
It should last for 9 days.


7 0
3 years ago
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