Answer:
A, D and E
Step-by-step explanation:
Since Rectangle B is a scaled copy of Rectangle A, the ratios must remain the same which is:
A. 9:3
= 3:1 ✅
B. 8:2
= 4:1 ❌
C. 10:4
= 5:2 ❌
D. 13.5:4.5
= 3:1✅
E. 90:30
= 3:1✅
Hence,
A, D and E have the same ratios. Hence, these are the possible measurements of Rectangle B.
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Answer:
Vertex is (-a, -6), where a ≠ 0.
General Formulas and Concepts:
<u>Algebra I</u>
- Coordinates (x, y)
- Quadratics
<u>Algebra II</u>
Vertex Form: y = a(bx - h)² + k
- <em>a</em> is the vertical scale factor
- <em>b</em> is the horizontal scale factor
- (h, k) is the vertex
Step-by-step explanation:
<u>Step 1: Define</u>
y = -3(x + a)² - 6
↓ <em>Identify variables</em>
<em>a</em> = -3
<em>b</em> = 1
(h, k) = (-a, -6)
Answer:
The sum of a and b is 12.
Step-by-step explanation:
Try drawing this figure. ABCD would actually be a triangle, rather than the common quadrilateral you would expect - considering there are 4 points plotted. Therefore, we would have to find the distance between respective points ( 0, 1 ) and ( 2, 5 ) / ( 2, 5 ) and ( 7, 0 ) / ( 0, 1 ) and ( 7, 0 ). Let's apply the distance formula and calculate the distance between each point, therefore determining the perimeter.
Distance between points ( 0, 1 ) and ( 2, 5 )
=
=
=
= =
Distance between points ( 2, 5 ) and ( 7, 0 )
=
=
=
= =
And you can calculate the distance between points ( 0, 1 ) and ( 7, 0 ) to be exactly as well. Therefore, you can say that the perimeter of this triangle is = . Note that this is similar to the form we are given. Thus, a = 10, and b = 2 - making it's sum 10 + 2 = 12.