Answer:
0.2
Step-by-step explanation:
just subtract
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
Put ur equation in y = mx + b form because the slope will be in the m position.
5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4
y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 = 24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>
Answer:
radius = 5 in
Step-by-step explanation:
Using the formula for calculating the area (A) of a circle
A = πr² ( r is the radius )
here A = 78.5, hence
3.14r² = 78.5 ( divide both sides by 3.14 )
r² =
= 25 ( take the square root of both sides )
r =
= 5