Answer:
y = 3x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - y + 12 = 0 ( subtract 3x + 12 from both sides )
- y = - 3x - 12 ( multiply through by - 1 )
y = 3x + 12 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , thus
y = 3x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 3x - 1 ← equation of parallel line
Answer:
-definition of cosine
-definition of sine
-Pythagorean Theorem
-Substitution
-laws of exponents
Step-by-step explanation:
Answer:
The value of Discriminant of the function is -92
It has ZERO distinct real number zeros.
Step-by-step explanation:
Given:

Which is a Quadratic Equation in the general form of

where a,b and c are constants.So on comparing the given equation with general form we get,

Formula for discriminant we have

now for zeros we have

on substituting these values we get

or

the term
is imaginary
hence the zeros are not real number
Answer:
A,C, AND D
Step-by-step explanation:
A. 3+4>5 therefore a triangle
B. 1+7<10 therefore not a triangle
C. 1.5+1.5>2.5 therefore a triangle
D. 7+7>7 therefore a triangle
E. 6+6=12 therefore not a triangle
The cosine ratio is the side adjacent to the reference angle over the hypotenuse. Angle T has a side opposite of length 68, and the hypotenuse is 85. Therefore, the cosine of T is 68/85. That gives us a decimal of .8. It's very important that the ratio of sin and cos are decimals less than 1 but greater than 0. If you try to take the inverse cosine of, say, 1.4 on your calculator you will get an error message. That's because sin and cos oscillate between 1 and -1 on the graph and do not exist higher or lower than that.