Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
The 9 stands for hundredths
N would equal 45° since the tiny square means its 90°. 90-45=45.
A = a^2.....where " a " is the size of 1 side
A = 256
256 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 256 = a
16 = a
so each side is 16 ft....now we find the perimeter
P = 4a....where " a " is the size of each side
P = 4(16)
P = 64.......so they will need 64 ft of fencing <===
Answer:
<em>k=-3</em>
Step-by-step explanation:
<u>Equation of a line</u>
The general equation of a line can be written as:
Ax+By=C
The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:
A(3)+B(0)=C
3A=C
Solving for A:
A=C/3
The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:
A(0)+B(5)=C
5B=C
Solving for B:
B=C/5
Replacing into the general equation:
Simplifying by C:
The point P(k,10) belongs to the line, thus:
Operating:
Multiplying by 3:
