Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Answer:
-decreases the chance of contracting any type of virus
-decreases the chance of other people contracting the virus
Step-by-step explanation:
<span>90/x=100/18</span>
<span>(90/x)*x=(100/18)*x - </span> multiply both sides of the equation by x
<span>90=5.55555555556*x - </span>divide both sides of the equation by (5.55555555556) to get x
<span>90/5.55555555556=x </span>
<span>16.2=x </span>
<span>x=16.2</span>
<span>18% of 90=16.2
</span><span>
</span>
<h3>
Answer:</h3>
4. -3
5. 3
<h3>
Step-by-step explanation:</h3>
4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
___
5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
Answer:
C) 3/8
37
C) -8 or 8
B) 84.7
D) 7 1/3
Step-by-step explanation:
Think of an absolute value as just ignoring any negative signs.
