Answer:
A, an opera singer who has studies for 20 years
Explanation:
The function with the steepest slope is the function which has the maximum absolute value of the slope. Hence, the function with the steepest slope is y = - 8x + 5
The general form of a linear equation is given as :
- y = bx + c ; <em>b = slope </em>
<u>Evaluating the linear expressions given</u><em> </em><em>:</em><em> </em>
A.)
y = - 8x + 5
b = - 8 ;
|b| = 8
B)
y minus 9 = negative 2 (x + 1)
y - 9 = - 2(x + 1)
y - 9 = - 2x - 2
y = - 2x - 2 + 9
y = -2x + 7
Hence, b = - 2
|b| = 2
C)
y = 7 x minus 3
y = 7x - 3
Hence, b = 7
|b| = 7
D)
y + 2 = 6 (x + 10)
y + 2 = 6x + 60
y = 6x + 60 - 2
y = 6x + 58
Hence, b = 6
|b| = 6
Therefore, the function which has the steepest slope is y = -8x + 5
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Answer:
Jupiter, Saturn, Uranus, and Neptune
Explanation:
Only gas giants have rings, so Mercury, Venus, Earth, and Mars are out of the answer choices.
According to NASA, only Jupiter, Saturn, Uranus, and Neptune (all of our gas giants), have rings.
The transformation that maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 1/2
From the question, we have the following highlights
- The quadrilaterals are similar (not congruent)
- Quadrilateral 2 is twice the size of quadrilateral 1
The above highlight (1) means that, quadrilateral 1 can be translated to get 2.
After the translation, the new quadrilateral 1 can then be dilated by 1/2 (this is so because quadrilateral 2 is twice the size of quadrilateral 1.
Hence, the true statement is: the transformation that maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 1/2
Read more about transformation at:
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