Answer:


Find the multiplicative inverse of the following
(i) -13 (ii) -13/19 (iii) 1/5 (iv) -5/8 × -3/7 (v) -1 × -2/5
(vi) -1
Solution:
The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.
(i) The Multiplicative inverse of -13 is -1/13
∵ -13 × (-1/13) = 1
(ii) The Multiplicative inverse of -13/19 is -19/13
∵ -13/19 × (-19/13) = 1
(iii) The Multiplicative inverse of 1/5 is 5
∵ 1/5 × 5 = 1
(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15
∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1
(v) The Multiplicative inverse of -1 × -2/5 is 5/2
∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1
(vi) The Multiplicative inverse of -1 is -1
∵ -1 × (-1) = 1
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

A line placed in slope-intercept form is represented by the formula
. The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula
and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

So, option D is correct.
Answer:
C is center angle
.
Step-by-step explanation:
your answer
9/4 cups of flour is equal to 2 1/4 2/4 cups of flour is equal to 1/2 SO 16/4 cup flour is equal to 4 Which is 7/4 cups more than 2 1/4 7/4 cups is 1 3/4 cups (1/2 a cups less than 2 1/4) Which means he needs 1 3/4 cups of walnuts.
<span>Simplfied- 4 cups is 1/2 a cups short of double, since the flour is done is quarters, take the 1/4 cup away from the walnuts. </span>
<span>(times 1/2 by 1/2 you get 1/4 subtract it)</span>
To find 1/2% as a decimal we can divide this by 100. (This is shown in the question)
1/2 = 0.5
0.5 / 100 = 0.005 (0.5% divided by 100 = 0.005)
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Best Regards,
Wolfyy :)