What are the steps to solving this limit?
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Answer:
lim(x---->0) = -5
Step-by-step explanation:
first: sin(x-π/2)= -cosx
so the equation will be :
lim(x---->0) = [-6cos(ax)-1}/cosx
solve :
lim(x---->0) = [-(6cos(a(0))-1}/cos(0)
cos0=1
lim(x---->0)=(-(6(1)-1)/1
lim(x---->0)=-6+1/1
lim(x---->0)=-5
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Use the lim f(x)-f(a)/x-a to find the derivative. x->a f(x)=-3x^2-5x+1 and point (1,-7)
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To find the slope of a line, you need to find the change in x over the change in y, or rise over run. You can do this by taking two points and using the formula .
To find the y-intercept, find where the graph touches the y-axis.
To find the x-intercept, find where the graph touches the x-axis.
Zeroes on a graph are the same as its x-intercepts.
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Answer: 1/18
Step-by-step explanation: The x's basically cancel each other out so all that is left is the 1 and the 18
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The linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.
Here, we have to write a linear equation that represents the line passing through the points (0, 4) and (2, -2), we can use the point-slope form of a linear equation:
where:
m is the slope of the line,
is one of the given points on the line.
Given the points (0, 4) and (2, -2),
let's calculate the slope m:
m= −2−4/ 2−0
= −6/2
=−3.
Now, use the point-slope form with the point (0, 4):
y−4=−3(x−0).
Simplify the equation:
y−4=−3x.
Add 4 to both sides:
y=−3x+4.
So, the linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.
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Answer:
y=-3x+4
Step-by-step explanation:
it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.
1/3x + 3 - 5/6x = -15
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Answer: 12m by 4m.
Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.
Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.
w = x
l = x + 8
Use the equation for the perimeter.
P = 2l + 2w
Plug in your values:
32 = 2(x + 8) + 2(x)
Now, solve for x! First start by distributing the 2:
32 = 2x + 16 + 2x
Next, add like terms:
32 = 4x + 16
Subtract 16 from both sides:
16 = 4x
Divide by 4 on both sides:
4 = x
Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.
l = x + 8
Plug in your x and solve:
l = 4 + 8
l = 12
Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.
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Answer:
To reflect a point across the vertical line x = -2, we can use the formula:
(x, y) → (2c - x, y)
where c is the x-coordinate of the line of reflection. In this case, c = -2. Let's apply this formula to the point W(-4, -4):
W' = (2(-2) - (-4), -4)
= (-4 + 4, -4)
= (0, -4)
Therefore, after the reflection across x = -2, the coordinates of W(-4, -4) become W'(0, -4).
Step-by-step explanation: