The factors are
(x-y)(x-y)
or
(x-y)^2
Explanation:
We need to factor the trinomial
x^2-2xy+y^2
The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)
Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.
The factors are
(x-y)(x-y)
or
(x-y)^2
Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy
<span>x^2-2xy+y^2</span>
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
The y-intercept occurs when x=0.
In your equation y=1.5x, when x=0, y=0. So the y-intercept is (0,0), which is the origin.
The formula for an arithmetic sequence is An=A1+(n-1)d.
Using this knowledge, you can set up the equation easily to be An=1+(12-1)-5
You then simplify this to 1-55 using PEMDAS, giving you the answer for the twelfth term being -54, you then do this for every term if you want (or you could just subtract 5 by the terms after 14 till you get to -54. After all that, you add the twelve terms up to get -319 as your final answer
First of all...YOU'RE NOT DUMB!!! You just need some help! Being confident in your knowledge/skills is half the work! ;D
And second...
PART 1:
28. Polygon ABCDE is a pentagon (it has five sides). The sum of the interior angle measures for a pentagon is 540°. Here's what we know:
m<A = 90°
m<B = 90°
m<D = 90°
m<C = m<E
First, find the sum of the measures of angles A, B, and D.
(90)(3) = 270°.
Next, find the combined angle measure of angles C and E.
540 - 270 = 270°.
Finally, find the measure of angle E (or m<AED).
270 / 2 = 135°.
So, to fill in the blanks:
90 · 3 + x · 2 = 540
m<AED = 135°.
29.
(a) 360°
(b) hexagon
(c) 1080
(d) hendecagon (11 sides)
I have attached a table containing a list of polygons, their side-count, and the sum of their interior angles.
PART 2:
Complimentary angles are angles whose measures add to equal 90°.
Supplementary angles are angles whose measures add to equal 180°.
30. 35° + 55° = 90°; Complimentary.
31. 62° + 108° = 170°; Neither.
Hope this helps!