Transformation Rule: Translate 4 units right and 3 units up. B Х A
1 answer:
Answer:
Step-by-step explanation:
Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,
(h, k) → (h + a, k +b)
Coordinates of A → (-4, -2)
Coordinates of B → (1, -1)
Coordinates of C → (0, -5)
If these points are shifted 4 units right and 3 units up,
By applying rules of the translation,
Coordinates of image point A' → (-4 + 4, -2 + 3)
→ (0, 1)
Coordinates of B' → (1 + 4, -1 + 3)
→ (5, 2)
Coordinates of C' → (0 + 4, -5 + 3)
→ (4, -2)
Now plot these points on the graph.
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Answer:
Equation of line through () having undefined slope is given by
where α =90°
Now ,it is given that line passes through (97, 93)
So , equation of line is
→ = tan 90°
As, tan 90°=1/0
→ (x-97)×1= (y-73)×0
→ x-97 =0
→ x=97 , which is the required equation of line.
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone =
Here r = radius of the circular base
h = height of the cone
Volume =
= cubic inch
Volume of the cylinder =
Here r = radius of the base
h = height of the cylinder
Volume =
= 256π cubic inches
Volume of the rocket =
=
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
=
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.