Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
7x+4y=3
4y = - 7x + 3
y = -7x/4 + 3/4
Comparing with the slope intercept form, slope = -7/4
If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.
Therefore, the slope of the line passing through (6,-9) is 4/7
To determine the intercept, we would substitute m = 4/7, x = 6 and y = -9 into y = mx + c. It becomes
- 9 = 4/7×6 + c = 24/7 + c
c = - 9 - 24/7 = -87/7
The equation becomes
y = 4x/7 - 87/7
Option B:
sin x = 1 is the equation represented by the intersection of the graph.
Solution:
The graph lies between -1 and 1 in y-axis.
x-axis of the graph is all real numbers.
The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.
That is the domain of the graph is all real numbers.
The range of the graph is [-1, 1].
It clearly shows that, it is the graph of sinx = 1.
Hence sin x = 1 is the equation represented by the intersection of the graph.
Option B is the correct answer.
4x+12=20
-12 -12
——————
4x=8
divide by 4 on both sides
x=2
The cost to buy the flooring for Raul's bedroom is $364.65.
<h3>What is the
cost to buy the
flooring for
Raul's bedroom?</h3>
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Actual length of the bedroom = 4 x 3.25 = 13 feet
Actual length of the bedroom = 4 x 2.75 = 11 feet
Area = 143 square feet
Cost = 143 x 2.55 = $364.65
To learn more about scale drawings, please check: brainly.com/question/26388230
