The first case occurs in
for
and
. Extending the domain to account for all real
, we have this happening for
and
, where
.
The second case occurs in
when
, and extending to all reals we have
for
, i.e. any even multiple of
.
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
Answer:
Step-by-step explanation:
6/2=3 cm is the radius V(4/3πr³) = 4/3.π.27…(1)
8/2= 4 cm is the radius and V = 4/3.π.64…..(2)
10/2=5 cm is the radius and V = 4/3.π.125…(3)
The Total Volume is the addition of (1)+(2)+(3) or 4/3π (27+64+125) or New volume is 4/3.π.(216) cm³ and therefore...
The radius of the New Solid Sphere is Cube Root of 216 (r³) = √6.6.6 or r = 6 cm and the diameter is 6.2 = 12 cms.
12 cms answer. Brainlist please?
1 ft = 12 in
192/12 = 16
16 ft = 192 in
