First, let's re-arrange to slope-intercept form.
x + 8y = 27
Subtract 'x' to both sides:
8y = -x + 27
Divide 8 to both sides:
y = -1/8x + 3.375
So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.
So the slope of the perpendicular line will be 8.
Now we can plug this into point-slope form along with the point given.
y - y1 = m(x - x1)
y - 5 = 8(x + 5)
y - 5 = 8x + 40
y = 8x + 45
Answer:
any translation can be replaced by a rotation
The converted fractions are 3/12 and 5/12 and the sum is 2/3
<h3>How to convert the fractions?</h3>
From the question, the fractions are given as
1/4 and 5/12
The denominators of these fractions are
4 and 12
So. we start by calculating the LCD of the denominators
So, we have
4 = 2* 2
12 = 2 * 2 * 3
This gives
LCD = 2 * 2 * 3
Evaluate
LCD = 12
This means that the common denominator must be 12
So, we have
1/4 and 5/12
Multiply 1/4 by 3/3
This gives
3/12 and 5/12
When the fractions are added, we have
3/12 + 5/12 = (3 + 5)/12
Evaluate
3/12 + 5/12 = 8/12
Reduce fraction
3/12 + 5/12 = 2/3
Hence, the sum of the fractions is 2/3
Read more about fractions at
brainly.com/question/1622425
#SPJ1
Answer:
C
Step-by-step explanation:
5 more than twice a number
(A number)=variable=x
2x+5<20
Subtract 5 from both sides
2x<15
Divide by 2
x<7.5
Any number below 7.5 (can't be 7.5 though)
