Answer:
Step-by-step explanation:
-7c - 5
Answer:
Step-by-step explanation:
m∠ JHI + m∠GHJ = 180 { linear pair}
m∠JHI + 90 = 180
m∠JHI = 180 -90 = 90
In ΔGHJ and ΔJHI,
GJ = IJ { given}
JH = JH {common}
m∠ JHI = m∠GHJ { above proved}
ΔGHJ ≅ ΔJHI { Angle Side Side congruence}
To solve this problem, we need to know the formulas for the areas of each of these shapes. The formula for the area of a circle is πr², the area of a rectangle is b * h, the area for a square is s², and the area for a triangle is 0.5bh. Now we can solve.
1) This is a circle, so the area is πr² = π(6)² = 36<span>π square feet
2) This is a square, so the area is s</span>² = 12² = 144 square yards
3) This is a rectangle, so the area is b * h = 6 * 14 = 84 square inches
4) This is a rectangle, so the area is b * h = 7 * 3 = 21 square inches
5) This is a circle, so the area is πr² = π(4)² = 16<span>π square feet
6) This is a triangle, so the area is 0.5bh = 0.5 (8 * 8) = 0.5 * 64 = 32 yd.</span>²
7) This is a triangle, so the area is 0.5bh = 0.5 (5 * 10) = 50 * 0.5 = 25 yd.²
8) This is a rectangle, so the area is b * h = 10 * 2 = 20 in²
9) This is a square, so the area is s² = 9² = 81 ft²
5x + 9 = x - 23
move x to the other side
sign changes from +x to -x
5x-x+9= x-x-23 ( combine like terms)
5x-x+9= -23
4x+9= -23
move -9 to the other side
4x+9-9= -23-9
4x= -23-9
4x= -32
divide both sides by 4 to get x by itself
4x/4= -32/4
answer:
x= -8
<h2>
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0</h2>
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here we need to find equation for a circle with center (0, −4) and radius 8.
Center = (h,k) = (0, −4)
Radius = r = 8
Substituting in equation
(x-h)²+(y-k)² = r²
(x-0)²+(y-(-4))² = 8²
x²+(y+4)² = 64
x²+y²+8y+16 = 64
x²+y²+8y-48 = 0
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0
