Answer:
Step-by-step explanation:
y = x + 9 is the given equation of a line. The coefficient of 'x' is 1. Therefore the slope of this line is 1.
The slope of any line perpendicular to this y = x + 9 is the negative reciprocal of 1, which is -1.
Using the point-slope formula for the equation of a straight line, y - k = m(x - h), we identify h and k as -2 and -2 respectively, from the given point (-2, -2).
Then, y - k = m(x - h) becomes y + 2 = -1(x + 2) (in point-slope format)
The value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given:
sinx = -5/13
and cosx > 0
We know,
cos2x = 1 - 2sin²x
sinx = -5/13
Squaring on both sides:
sin²x = 25/169
Multiply by 2 on both the sides:
2sin²x = 2(25/169)
Add -1 on both sides:
-1 + 2sin²x = -1 + 2(25/169)
or
1 - 2sin²x = 1 - 2(25/169)
cos2x = 1 - 50/169
cos2x = 119/169 (as the cosx > 0)
Thus, the value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
Learn more about trigonometry here:
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Step-by-step explanation:
1/4×48
=12
So if 12people are out of state
48-12=36,is the number of people living in the state
Answer:
17/24
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 24
Multiplying numerators and denominators to get the LCD in all fraction denominators
= 2×4/6×4 + 3×3/8×3
Then rewriting the equation with the equivalent fractions
= 8/24 + 9/24
With like denominators we can operate on just the numerators
= 8/24 + 9/24
= 17/24
Answer:
7! = 5040
Step-by-step explanation:
7! is a factorial expression that can be solved as follows:
7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Therefore, 7! = 5040