Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
The additional information which would be sufficient to conclude that LMNO is a parallelogram is; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
<h3>What information renders LMNO a parallelogram?</h3>
The condition for a quadrilateral to be a parallelogram is that; the opposite pairs must be parallel and consequently opposite pairs are congruent as they have equal length measures.
On this note, it can be concluded that the additional information which would be sufficient are; ML ∥ NO, LO ≅ MN, and ML ≅ LO.
Read more on parallelogram;
brainly.com/question/970600
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Answer:
Therefore his new balance=$712.95
Therefore his new balance is =$ 930.44
Step-by-step explanation:
Darnell starts the month $ 952.43 in his checking account.
He buys an iPhone 7 for $ 217.49 with tax included and two kindle books that each $7.99.
The price of two books is =$(7.99× 2)= $ 15.98
Total amount that he paid for iPhone 7 and two books is =$(217.49+15.98)
=$233.47
Therefore his new balance = $(952.43- 233.47)
=$712.95
The new iPhone 7 is not as awesome as promised , and Darnell returns it.
He will get the price of iPhone refund.
Therefore his new balance is $(712.95+217.49)
=$ 930.44
What triangle? you need to show the triangle
Let's solve your inequality step-by-step.<span><span>−28</span><<span>v−16</span></span>
Step 1: Flip the equation.<span><span>v−16</span>><span>−28</span></span>
Step 2: Add 16 to both sides.<span><span><span>v−16</span>+16</span>><span><span>−28</span>+16</span></span><span>
v><span>−12</span></span>
Answer:<span>v><span>−<span>12</span></span></span>