Answer:
The pair of lines in (c) are parallel; so are the pair in (d).
Step-by-step explanation:
Rule: Two lines are parallel if their slopes are equal. If the slopes of two different lines are equal, then the lines are parallel.
Let's look at these four possible answer choices with that in mind:
a) the slopes are not equal; they are negative reciprocals. These lines are not parallel.
b) The slopes are not equal; one is positive and one is negative. These lines are not parallel.
c) Both of these lines have the slope 4; that is, their slopes are equal. Therefore these two lines are parallel.
d) y = 9 and y = 18 are both horizontal lines, and are therefore parallel. 9 and 18 do not represent slopes; rather, they represent y-intercepts.
Answer:
p= 43.96
a= 153.86
Step-by-step explanation:
The perimeter is the same as saying the circumference and the formula for circumference is C= 2(pi)r
The area formula is A= (pi)r^2
The picture shows the diameter being 7. If you divide it in half it will give you the radius
My calculation go off pi as 3.14.
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
brainly.com/question/12917806
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Answer:
Step-by-step explanation:
1. Convert the decimal into a fraction by doing this. Take 1.8 and write it above a fraction line without the decimal sign.
2. Count the decimal places and below the fraction line write the multiple of 10 with that many zeros so that would
3. Simplify the fraction so that would be .
4. Now in order to divide a fraction, multiply by the reciprocal of that fraction so that would be .
5. Now reduce the number with the gcf (greatest common factor) which would be 5. So now we have 9*
6. Reduce the numbers again using the gcf which now would be 9. Now you have the answer which should