Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Answer: 32 paving stones
Step-by-step explanation:
Hi, to answer this question, first we have to convert the measures of the paving stones into meters.
Since: 1m = 100 cm
50 cm /100 = 0.5m
Now, we have to calculate the area of each paving stone:
Area of a square: s^2 = 0.5^2 = 0.25m2
Next, the area of the path.
Area of a rectangle = width x length = 1 x 8 = 8 m2
Finally, we have to divide the area of the path by the area of each paving stone:
8/0.25 = 32 paving stones
Feel free to ask for more if needed or if you did not understand something.
Answer:
y=-7
Step-by-step explanation:
first, you want variables on one side, numbers on the other side of the equation.
4y+4=2y-10
*plus ten on both side to get rid of -10*
4y+14=2y
*minus 4y on each side to get rid of 4y*
14=-2y
*divide by -2 on each side to get the value of just one y itself*
y=-7
Lets write equation of a function:
y = kx + n
Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.
First option gets 7=7 but it isnt direct variation because n is not equal to 0
third option is indeed correct. once we implement coordinates (2,7) we get 7=7
Answer is
y = 7/2x
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find h, x and y
Let the base of the triangle be 15.
So, the area is:
Let the base of the triangle be 25.
So, the area is:
Substitute
Solve for h
Considering the smallest triangle
So:
This gives:
Take square roots
Solving for y
