Answer:
(7-4i)+(-2+5i) = 5 + i
Answer = 5 + i
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
( 7 - 4i ) + (-2 + 5i )
= ( 7 - 2 ) + ( -4 + 5 ) i
Refine = 5 + i
289 square root = 17
17*17=289
Say 17 was length and 17 was width. L*w=289
Also, all sides of the square are the same.
Answer:
x= -1.5, y= -1
Step-by-step explanation:
6x= -5+4y
x= (-5+4y) / 6
4((-5+4y) / 6) + 5y = -11
4(-5+4y) + 5*6y = -11*6
-20+16y+30y= -66
16y + 30y = -66+20 = -46
y(16 + 30) = -46
y= -46 / (16 + 30)
y= -46 / 46
y= -1
x= (-5+4(-1)) / 6
x= (-5-4) / 6
x= -9 /6
x= -1.5
0.1389. 5 decided by 36 in a calc
Neither P, nor A are on the sketch
I guess P is the upper right corner of the rectangle
and A=(0,1)
P belongs to the line going through (1,0) and B(0,y)
<span>but we don't know the y-coordinate of B </span>
<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1
so the coordinates of B are (0,1)
the line going through (1,0) and (0,1) is L(x)=-x+1
P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1)
b) so if that's P, the height of the rectangle is -x+1 and the width=2x
<span>so its area A(x)=2x*(-x+1)= -2x²+2x
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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