Answer:
Step-by-step explanation:
Given
Required
Simplify
Open brackets
Collect Like Terms
Simplify like terms
We have that
cos(alfa)=0.2546
arc cos (0.2546)=75.2501---------- > 75.25°
the answer is 75.25°
<h2>Answer:
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>
<h3 /><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the parallel line</u>
When two lines are parallel, they have the same slope.
⇒ if the slope of this line = - 8
then the slope of the parallel line (m) = - 8
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 11 = - 8 (x - (-1))
∴ y - 11 = - 8 (x + 1)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 11 = - 8 (x + 1)
y = - 8 x + 3
The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).
Answer:
Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.
Step-by-step explanation:
Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
<h3>What are the conversions of the mixed number 2 and 7/9?</h3>
To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:
2 and 7/9 = 2 + 7/9 = 2.7777.
To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:
Hence the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
More can be learned about conversions of mixed numbers at brainly.com/question/21610929
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