Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
78.75 cm cubed
Step-by-step explanation:
To find the volume of the prism, use the formula V = l*w*h where l = 4.5, w = 5 and h = 3.5.
So the volume is V = 4.5*5*3.5 = 78.75
Answer:
2520°
Step-by-step explanation:
The sum of the angles in any triangle is 180°
shape. sides. triangles. sum int angles.
triangle. 180×1=180°
quad. 180×2=360°
pentagon. 180×3=540°
n-sides. n( n−2) 180(n−2)
16-sides. 180×14=2520°
Answer:
Step-by-step explanation:
FE=4+4=8
Altitude=3+3=6
area=1/2×FE×6=1/2×8×6=24 sq. units.
or
area=1/2×
I 1 3|
|-4 -3|
| 4 -3|
| 1 3|
=1/2[(-3+12)+(12+12)+(12+3)]
=1/2[9+24+15]
=1/2[48]
=24 sq. units
You would have to know the height of the 8th graders
