Hello!
To find the line parallel to the line x + 2y = 6 and passing through the point (1, -6), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.
Since the given equation is written in standard form, we will need to change it to slope-intercept form to get the slope. Slope-intercept form is: y = mx + b.
x + 2y = 6 (subtract x from both sides)
2y = 6 - x (divide both sides by 2)
y = 6/2 - x/2
y = -1/2x + 3 | The slope of parallel lines are -1/2.
Since we are given the slope, we need to find the y-intercept of the line that goes through the point (1, -6) by substituting that point into a new equation with a slope of m equalling to -1/2.
y = -1/2x + b (substitute the given point)
-6 = -1/2(1) + b (simplify - multiply)
-6 = -1/2 + b (add 1/2 to both sides)
b = -11/2 | The y-intercept of the parallel line is -13/2.
Therefore, the line parallel to x + 2y = 6 and goes through the ordered pair (1, -6) is y = -1/2x + -11/2.
Answer:
12 and 13
Step-by-step explanation:
The computation of the number of ounces will each person serving be is given below:
Ounces be 64
And, the friends be 5
So for each one it would be
= 64 ÷ 5
= 12.8
That means
12.8 is lies between 12 and 13
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
Answer:
Total paper required to wrap the gift without any overlaps: 
Step-by-step explanation:
Here, we need to find the total paper required without any sides overlapping to wrap the gift.
The gift is of <em>cuboid </em>type.
Given the following:
<em>Length </em>= 15 cm
<em>Width </em>= 30 cm
<em>Height </em>= 20 cm
Please refer to the attached figure.
We can infer that to find the paper required, we actually need to the find the<em> total surface area of the cuboid</em>.
Because the gift wrap will be done <em>on the faces of gift</em> (which is of cuboid shape).
Formula for Surface Area of <em>Cuboid:</em>
Hence, total paper required to wrap the gift without any overlaps: 
