Answer:
x=9
Step-by-step explanation:
Add similar elements: -5x+3x=-2x
-2x+15=-3
Subtract 15 from both sides
-2x + 15-15=-3-15
Simplify
-2x=-18
Divide both sides by -2
-21/-2 = -18/-2
Simplify
x=9
Both of those equations are solved for y. So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one. We set them equal to each other and solve for x. 4x-5=-3 and 4x = 2. That means that x = 1/2. We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
<h3>How to determine the distance AC?</h3>
To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
brainly.com/question/6617153
Answer:
y=-10
Step-by-step explanation:
In this problem you're trying to figure out what y equals.
First you subtract 11 from both sides.
30=-3y
Then, you divide each side by -3 to find y.
-10=y
y=-10
