Answer:
Translate ABCD down 1, then reflect it over the y-axis
and
Reflect ABCD over the y-axis, then translate down 1
Step-by-step explanation:
First of all, the two steps are the same, just in a different order
Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image
Step-by-step explanation:
correct answer is b 100% ©®™✓°°°°°
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First distribute and then combine like terms, answer: -1.42x+2.8
This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
Answer:
∠ C = 36°
∠ D= 81°
∠ DEC= 63°
Step-by-step explanation:
<em>The exterior angle of a triangle is equal to the sum of the interior opposite angles. </em>
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∴ (11y + 4) + (5y + 1) = 117
11y + 4 + 5y + 1 = 117
16y + 5 = 117
16y = 117-5
16y = 112
y = 112÷16
y = 7
∠ C = 5×(7) + 1 = 36°
∠ D = 11×(7) + 4 = 81°
∠ DEC = 180- 117 = 63°
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