Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
Let us try to find out 
and 
. After that we will compare them.
<u>Finding </u><u>:</u>
Side EG is a straight line so 
is sum of internal and external 
<u>Finding </u><u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external = 
Comparing equations (1) and (2):
It can be clearly seen that:
The two angles of are equal hence is isosceles.
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
I think it's C, because first you multiply all the sides which is 112 then multiply by 3 and the answer it's 336 if I'm correct.
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
5/2(-8/5 +7/5)
= (5/2)(-8/5) +(5/2)(7/5)
= -8/2 +7/2 = -1/2
Easy
y=2x-7
sub 2x-7 for every y you se inother equation
x+2(2x-7)=1
x+4x-14=1
5x-14=1
add 14 both sides
5x=15
divide 5
x=3
sub back
y=2x-7
y=2(3)-7
y=6-7
y=-1
(3,-1) is solution
