Answer:
18) Area= 5*5/2=25/2=12.5 unit ^2
19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Step-by-step explanation:
18. A(-3,0)
B(1,-3)
C(4,1)
AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5
AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2
BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5
so AB=BC=5
and AC^2=AB^2+BC^2
so trg ABC is an isosceles right angle triangle (<B=90)
Area= 5*5/2=25/2=12.5 unit ^2
19. A(a,a)
B(-a,-a)
C(-V3a, V3a)
AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2
AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2
BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2
so AB=AC=BC
Area=AB^2V3/4=8a^2*V3/4=2V3a^2
Answer:
10i
Step-by-step explanation:
multiply the parentheses
to get (2+i+2i+i^2) x (3+i)
i^2=-1
(2+i+2i-1) x (3+i)
collect like terms (1+3i) x (3+i)
multiply this out
3+i+9i+3i^2
3+10i+3(-1)
3+10i-3
10i
Answer:
x = 10
, y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° = 
, sin60° = 
, then
cos60° = 
= 
= ( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
sin60° = 
= 
= ( cross- multiply )
2y = 20 × 
= 20 ( divide both sides by 2 )
y = 10
Answer:
0 of a polynomial is that point where the graph cuts the x axis so the answer is
<h2>-2</h2>
Answer:
-2
<em>BRAINLIEST, PLEASE!</em>
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
