<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>
<em><u>Solution:</u></em>
Given that,
We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line
From given,
-5x + 4y = 8
Rearrange to slope intercept form
4y = 5x + 8
On comparing the above equation with slope intercept form,
We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to the line -5x + 4y = 8 is:
Substitute c = 13 and m = 5/4 in eqn 1
Thus the equation of line in slope intercept form is found
6^5 = 6 x 6 x 6 x 6 x 6 = 7776
Answer: The final answer in proper fraction is 169/9
Step-by-step explanation:
Given the expression
-6 4/9-3 2/9-82/9
Firstly let us convert all mixed fraction to proper fraction to further simplify the expression
-58/9 - 29/9 - 82/9
We now have all terms in proper fraction, we can continue by finding the LCM which is 9
= (- 58-29-82)/9
= 169/9
<h3>
Answer: 5/19</h3>
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Explanation:
There are A = 10 red cards out of B = 10+10 = 20 cards total.
A/B = 10/20 = 1/2 represents the probability of picking a red card.
After that card is selected, there are C = 10 black cards out of D = 20-1 = 19 cards left. The fraction C/D = 10/19 represents the probability of picking a black card where we did not put the first red card back.
Multiply the two fractions we found.
(A/B)*(C/D) = (1/2)*(10/19) = 10/38 = 5/19 is the probability of getting the first card that is red and the second card that is black.
The answer is A because Alon could have rotated the figure and discovered that they are congruent
