To write the equation of a line I need slope and y intercept (0,y)
I have y intercept (0,7) of +7 as written in the equation
The equation y=-5/4x + 11/4 has a slope of -5/4
To get perpendicular slope is negated reciprocal
so take -5/4 and flip it -4/5 and change the sign (in this case negative to positive) 4/5
so the new equation is y=4/5x +7 (third one)
Actually Welcome to the concept of expo functions.
f(x) = -8(2)^x - 12 ,
for f(0) ,here substitute x = 0
so we get as ,
==> f(0) = -8(2)^0 -12
==> f(0) = -8-12
==> f(0) = -20
hence, f(0) = -20
What are the options uh??
The correct answer is C.
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
The correct answer is option B which is 
.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-
Therefore the correct answer is option B which is .
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