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
I got the same answer as you. Try to ask your teacher about it since it’s a math problem online or something.
Answer:
The correct answers are:
0.95g
g - 0.05g
(1 - 0.05)g
Step-by-step explanation:
Amount of last week's rain = g inches
this week = 5% decrease on last week's amount
5% of last week's amount = 5/100 × g = 0.05g
∴ This week's amount of rain = 0.05g decrease
∴ Amount of rain this week = (Amount of rain last week) - 0.05g
∴ Amount of rain this week = g - 0.05g
This can be simplified by factorizing the common term "g"
g - 0.05g = g(1 - 0.05) = 0.95g
The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.
<h3>What is a Rectangle's Area?</h3>
rectangle area = length width
Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.
Given,
Rectangle area = 91 in.
2 w = width
The rectangle's length equals 2w - 1.
Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.
2w² - w - 91 = 0
As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.
To know more about area, visit:
brainly.com/question/20693059
#SPJ1
