Answer:
the line is slanding to the left.
Step-by-step explanation:
Its gradient is negative
i.e y/x
therefore -2/2
=-1
Hey there! :)
Line passes through (2, -4) & parallel to y = 3x+ 2
Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope. "M" is simply a place mat so if we look at our given line, the "m" value is 3. Therefore, our slope is 3.
We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our slope for our new line will be 3.
Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (2, -4) with a slope of 3.
y-y₁=m(x-x₁)
Let's start by plugging in 3 for m (our slope), 2 for x1 and -4 for y1.
y - (-4) = 3(x - 2)
Simplify.
y + 4 = 3x - 6
Simplify by subtracting 4 from both sides.
y = 3x - 10
~Hope I helped!~
Answer:
A = 1, B = 1
Step-by-step explanation:
From the question
(2x+1)/(x²+x) = A/x + B/(x+1)
(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)
Equation the numerator
2x+1 ≡ A(x+1) +Bx
2x+1 ≡ Ax+A+Bx
From the above,
A = 1.
And,
2x = Ax+Bx................ Equation 1
A+B = 2
Substitute the value of A into Equation 1
1+B = 2
B = 2-1
B = 1
Answer:
The length of the banner is 24 inches and its width is 4 inches.
Step-by-step explanation:
Let the length of the banner be L.
Let the width of the banner be W.
The length is 6 times greater than the width. This means that:
L = 6W
The area of the banner is:
A = L * W = 6W * W = 
The are of the banner is 96 square inches. This implies that:
= 96
=> 
= 96 / 6 = 16
W = 
W = 4 inches
The length, L, will be:
L = 6 * 4 = 24 inches
The length of the banner is 24 inches and its width is 4 inches.
Answer:
Step-by-step explanation:
So, if we have a triangle right here and you want to find a median, first thing you're going to have to is find the midpoint of that side. To connect it to the other midpoint you're going to have to find that midpoint and you could connect those and that would be one of your mid segments. There's going to be three mid segments in every triangle.
