Answer:
a=-3
Step-by-step explanation:
5a+a=-10-8
6a=-18
a=-18/6
a=-3
Answer:
Step-by-step explanation:
Given:
Consider the below figure attached with this question.
The linear equation is:
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
Substituting in the given equation, we get
So, the value for first blank is -8.
Substituting in the given equation, we get
So, the value for second blank is 3.
Substituting in the given equation, we get
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
14.1% of 278 is 39.2. So 39.2 megabytes have been downloaded.