Answer:
The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0) ⇒ (A)
Step-by-step explanation:
<em>Let us talk about dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does not change.
- The scale factor measures how much larger or smaller the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
→ If point (x, y) dilated with scale factor m about the origin, then
→ Its image is (m x, m y)
<em>Let us solve the question</em>
∵ ΔXYZ has vertices:
→ X = (0, 0)
→ Y = (6, 9)
→ Z = (15, 0)
∵ ΔXYZ is dilated by a scale factor 1/3 about the origin
→ Multiply each coordinate in each vertex by the scale factor 1/3
∵ (0 ×
, 0 ×
)
∴ X' = (0, 0)
∵ (6 ×
, 9 ×
)
∴ Y' = (2 , 3)
∵ (15 ×
, 0 ×
)
∴ Z' = (5, 0)
∴ The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0)
Answer:
Semicircle
Step-by-step explanation:
As we can see, the arc is bounded by the chord MO
since the chord passes through the center of the circle, we have it that the chord is a diameter
Mathematically, an arc bounded by a diameter represents half of a circle
So we can conclude that the arc MNO in circle C is a semicircle
Step-by-step explanation:
<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>i</em><em>s</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>f</em><em>u</em><em>l</em><em>.</em>
<em>T</em><em>h</em><em>a</em><em>n</em><em>k</em><em> </em><em>y</em><em>o</em><em>u</em><em>.</em>
Answer:
(-
, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 8y = 28 → (1)
3x + 2y = 4 → (2)
Subtracting (2) from (1) term by term will eliminate the x- term
(3x - 3x) + (8y - 2y) = (28 - 4), that is
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 8(4) = 28
3x + 32 = 28 ( subtract 32 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - 
Solution is (-
, 4 )