Answer:
Solution is (3, -3)
Step-by-step explanation:
To solve by graphing, you literally have to graph both lines to see where they intersect. That <u>point of intersection</u> is the solution to the given system.
Given the following linear equations:
y = - x where the slope (m) = -1, and the y-intercept (b) = 0.
y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.
Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.
Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).
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Answer:
<h2>The length of the line segment VT is 13 units.</h2>Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion
Where
Replacing all these expressions, we have
Solving for , we have
Now, notice that chord VT is form by the sum of RT and RV, so
Replacing the value of the variable
Therefore, the length of the line segment VT is 13 units.
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 6)² = 16 is in this form
with r² = 16 ⇒ r = = 4
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given (h, k) = (5, 2) and r = 20, then
(x - 5)² + (y - 2)² = 400 ← represents the delivery area