Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.
Find slopes of these lines.
-4x-5y=-4
-4x+4 =5y
Divide by 5
Y= -4x/5 +4/5
Second line: 10x-8y=-1
10x+1=8y
Divide by 8
10x/8 +1/8 =y
Y= 5x/4 +1/8
So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
Answer:
y= -3x + 150
Step-by-step explanation:
slope = -15/5
y-int = 150
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for.
3. If 100% = 55 so we can write it down as 100%=55
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55!
Quick answer = 44 is 80% of 55
Hope this helps! ;D
The answer is A 3x(32-19)
Reasoning: Triple the difference of 32 and 19 would be a 3x multiplication of 32-19, you need parenthesis in order to do 32-19 first because of PEMDAS. SO the answer would be 3x(32-19 because none of the other options would show the equation correctly.
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Answer:
<em>The sum of 4 consecutive odd number is 80</em>
<em>Let X be the first of these numbers</em>
<em>Then the next odd number is X+2</em>
<em>The third is X+4The fourth is X+6</em>
<em>All of these add up to 80</em>
<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>
<em>Using the commutative and associative laws, let's transform this equation into</em>
<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>
<em>Subtract 12 from both sides of the equation gives4X = 68</em>
<em>Divide both sides by 4 gives</em>
<em>X = 17</em>
<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>
