Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: 
, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE = 
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer:
80%
Step-by-step explanation:
Focus on the important parts of the problem:
The present salary is 25% more than the previous salary.
previous = % of present ?
<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.
100 = % of present
Present salary is $100 increased by 25%.
$100 X 1.25 = $125
100 = % of 125
Solve this in decimal form (convert it to a percentage later).
Let x be the percentage in decimal form.
100 = 125x
100/125 = x Isolate "x" by dividing by sides by 125
x = 0.80
Convert 0.80 to percentage by multiplying by 100.
0.80 X 100 = 80%
When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.
Since his previous salary was less than his present salary, this answer makes sense.
Therefore his previous salary was 80% of his present salary.
Answer:
f(2)=1/9
Step-by-step explanation:
f(x)=(1/3)^x
f(2)=(1/3)^(2)
f(2)=1/9
Answer:
BC:BN=8:3
Step-by-step explanation:
ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.
Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD
But, BC= BN+NC
Therefore, BC:BN=(BN+NC):BN
⇒BC:BN=(3+5):3
⇒BC:BN=8:3
Answer:
Step-by-step explanation:
all real numbers that are greater than -22 : x > -22
interval notation: ]- 22 ; + ∞ [
