Answer:
Hello, Have a good day
Step-by-step explanation:
The slope of the perpendicular line is the opposite sign and the inverse of the original line's slope.
(-1,-2) and (0,0).
slope = (0 - -2)/(0 - -1) = 2/1
So ,inverse and opposite would be -1/2
A parallel line has the same slope with a different y intercept
-2 = (-1/2)(-1) + b
-2 = 1/2 + b
b = -5/2
So, same slope, different b (y intercept) for a parallel line.
Answer:
the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
Step-by-step explanation:
Given
Point (10, 25)
Slope m = 2.5
To determine
Write the equation for the function m(t) point-stope form.
We know that the point-slope form of the line equation is
where
- m is the slope of the line
In our case:
so
substituting the values m = 2.5 and the point (10, 25) in the equation
Therefore, the equation for the function m(t) point-stope form will be:
Hence, option D is correct.
The graph is attached below.
The slope of every horizontal line is 0 because that is based on the formula. If it's horizontal on the x axis for example, the point slope will be 0,0, also the horizontal line is the numerator, i think. And the undefined slope is vertical because it's the denominator.
In order to find the total number of roses, we can use multiplication. Since there are 6 roses on each bush, we can say that the answer is: 6+6+6+6+6+6+6+6+6+6. Since multiplication is a way to quickly add the same number, we can use 6*10. This becomes 60.
Good luck :D
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
