Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
Answer:
50.28 sq. cm.
Step-by-step explanation:
A and B are centers of two circles of radii 8 cm and 1 cm such that AB =13 cm.
Now, angle ACB =90 degree where C is the center of another circle which touches the above two circles.
Now, ABC forms a right triangle where AB = 13 cm, AC = (r + 8) cm and BC = (1 + r) cm.
{Where r is the radius of the circle C.
Applying Pythagoras Theorem. AB² = AC² + BC²
⇒ 13² = (r + 8)² + (r + 1)²
⇒ 169 = r² + 16r + 64 + f² + 2r + 1
⇒ 2r² + 18r - 104 = 0
⇒ r² + 9r - 52 = 0
⇒ (r + 13)(r - 4) = 0
Hence, r = 4 {As the value of r can not be negative}
Therefore, the area of the circle C is π(4)² = 50.28 sq. cm. (Answer)
I’m sorry I have no idea!! BUT GUYS HELP THIS PERSON
Low August: 9 C or 9.4 C if you need specifics
Avg. August: 22 C or 21.66 if you need specifics
Answer:
the answer is 15.
Step-by-step explanation:
you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.
