Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
Answer:
66.7
num 4
Step-by-step explanation:
We have P = 3 x a (the formula of the perimeter); 26 = 3 x a ; we obtain a = 26/3;
Then, we have <span>the Pythagorean Theorem in one of two rectangular and congruent triangles :</span>
h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 =<span> 3a²/4</span>
It follows that
h = √(3a²/4) = a√3/2 ≈ 0,866*a ≈ 7,5 centimeter.
Answer:
I believe the answer is C :)
Step-by-step explanation:
