Answer:
Look at explanation.
Step-by-step explanation:
<em><u>Dilation of scale factor of 5, because it would become more wide and open by a factor of 5. Reflection over y-axis, because it makes the shape double the size. Dilation of scale factor of 1/2, because it makes the shape half it's size.</u></em> The rotating 90 degrees would only change the shapes position, not the size. The translation would only move the shape to a different area, and not change the size.
A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]
B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)
<h3>A. How to determine the mid point</h3>
- Coordinate of C = (4, 5)
- Coordinate of D = (p, q)
- Mid point =?
Mid point = (X , Y)
X = (x₁ + x₂) / 2
X = (4 + p) / 2
Y = (y₁ + y₂) / 2
Y = (5 + q) / 2
Thus,
Mid point = (X , Y)
Mid point = [(4 + p) / 2 , (5 + q) / 2]
<h3>B. How to determine the coordinates of D</h3>
- Mid point = (7, 1)
- Coordinates of D =?
Mid point = (7, 1) = (X , Y)
X = (4 + p) / 2
7 = (4 + p) / 2
Cross multiply
7 × 2 = 4 + p
14 = 4 + p
Collect like terms
p = 14 - 4
p = 10
Y = (5 + q) / 2
1 = (5 + q) / 2
Cross multiply
1 × 2 = 5 + q
2 = 5 + q
Collect like terms
q = 2 - 5
q = -3
Coordinates of D = (p, q)
Coordinates of D = (10 , -3)
Learn more about coordinate geometry:
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Answer:
1. One valuable information NASA learnt from the sample of olivine is that some parts of Mars had been dry over a long period of time.
2. The two materials are:
i. Oxygen supply.
ii. Air temperature and pressure regulation.
Step-by-step explanation:
NASA went on a research mission on mars and observed the Nansen crater, and discovered the olivine in the crater. It was learnt from the sample of olivine that parts of Mars had been dry over a long period of time.
2. The Personal Life Support System is a part of the suit used by astronauts to create an artificial habitat condition for their body system. This suit contains some materials that preserve their lives in space. The major materials in the suit are; oxygen (for breathing purpose) and air temperature and pressure regulation.
Answer:
see below
Step-by-step explanation:
slope intercept form: y=mx+b
you are given the slope, and can plug the points in to find b.
a) -3=2/3(6)+b --> b=-7
y=2/3x+7
b)10=-8(1/2)+b --> b=14
y=1/2x+13
c)4=-3(2)+b --> b=10
y=-3x+10
Answer:
D. No, the 
should have canceled out in step 4 making the correct answer 5.5mm.
Step-by-step explanation:
All the steps that Arden took were correct up until the last step:
1. V = Bh ⇒ 88 = *4^2 * h = 16
2. Divide by 16 from both sides: h = 88 / 16 = 88/16 = 5.5
Arden forgot to cancel out the pi from both the numerator and denominator, so her answer should have been 5.5 mm, not 5.5 mm.
Thus, the answer is D.
Hope this helps!
