Answer:
C. reflection about the line y = x
Step-by-step explanation:
C. reflection about the line y = x
Answer:
D. 
or 
Step-by-step explanation:
The given equation is:
Divide through by 3;
Add the square of half the coefficient of x to both sides.
The left hand side is now a perfect square:
Take square root
D. or
We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
Answer:
- <u><em>The missing length, x, is equal to 7 m.</em></u>
Explanation:
In the figure, the two triangles are similar because they show two pairs of congruent angles and one pair of different sides.
- The two upper vertices are marked each with a line which indicates that they are congruent, i.e. they have the same measure.
- Also, the small squares shown in each of the bases indicate that those two angles are right, i.e. they measure 90°.
- Since the two sides adjacent to the right angles have different lengths, the triangles are not congruent but similar.
By similarity, you can state that the corresponding parts keep the same ratio. Thus:
- x = 8m × 21 m / 24 m (muliply both sides by 8m)
- x = 21 m / 3 (simplify dividing numerator and denominator by 8m)
- x = 7 m (simplify dividing by 3)
Answer x = 7 m
Answer:
(Width)
Step-by-step explanation:
Area of a rectangle: 46 = w(L)
L = 4w
Substitute
46 = 4
Divide both by 4
(Width)
