Answer:
y = 1/3x
Step-by-step explanation:
Using the slope formula:
Taking (-3,-1) as (x1,y1) and (6,2) as (x2,y2):
(2-(-1))/(6-(-3))
= (2+1)/(6+3)
= 3/9
= 1/3
Hence, the slope (m) is 1/3
Substituting the slope into 'y = mx+c':
y = 1/3x + c
Substituting any point, however, we will be substituting (-3,-1):
-1 = 1/3 * (-3) + c
-1 = -1 + c
c = -1 + 1
= 0
Hence,
y = 1/3x
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3/4(x^3) is one expression
Answer:
x = 42°
Step-by-step explanation:
Since (3x+3) and 129 are corresponding angles, we can set them equal to one another and solve for x.
3x + 3 = 129
- 3 - 3
3x = 126
/3 / 3
x = 42°
Answer:
Explanation:
The question states the <em>congruent</em> images:
- ABCD ≅ FGHI ≅ JKLM ≅ NOPQ ≅ RSTU
The order of the letters matters.
For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.
From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.
As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.