Step-by-step explanation:
solve the equation:
5x-10=4x+20
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2
The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2
Answer:
x=-5 y=2
Step-by-step explanation:
1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .
2)adding them we get value of y.
3) replacing value of y in either of given equation
Answer:
86 cm.
Step-by-step explanation:
If we add 1 more triangle to one in the picture we that:
If we place 6 triangles together the perimeter will be 6 + 2 = 6
for 8 triangles the perimeter is 10 .
For 84 the perimeter will be 86 cm.
Answer:

Step-by-step explanation:
The quadratic can be solved in a straightforward way:

This tells you that the solutions are ...
2i or -2i
__
For each root of "a", (x -a) is a factor. Thus the factors of the equation are ...
(x +2i)(x -2i)