Answer:
y = - 4x + 7
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 )
y = 9 - 4x is in this form with m = - 4
• Parallel lines have equal slopes, hence m of parallel line is 4
note the line passes through the y -axis at (0, 7) ⇒ c = 7
y = - 4x + 7 ← equation of parallel line
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
We have AC = x, AE = x + 15, AB = 8, AD = 8 + 10 = 18.
Substitute:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
<em>subtract 8x from both sides</em>
<em>divide both sides by 10</em>
<h2>Answer: AC = 12</h2>
Answer:
e.
Step-by-step explanation:
The parameter is used to measure the population or in other words the measurement taken from a population is known as parameter. Here, the population will be all the co-workers that use company's healthcare. The percentage calculated for all co-workers that use company's healthcare will be the measurement calculated from population. Thus, the parameter will be the percentage of all the co-workers that use the company's healthcare.
Step-by-step explanation:
Let the equation of the line be y = mx + c
since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.
therefore, m = -1/2
sub (-4, -1):
-1 = -1/2(-4) + c
c = -3
therefore equation of the line is y = -1/2x - 3
This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!
