9514 1404 393
Answer:
Step-by-step explanation:
When the equation of the line is in the form ...
y = mx + b
the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.
We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.
the new slope is steeper
__
The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
We can now compare the coefficient of the like terms, either the one with y or the one without y, and find the value of a.
15 = 7 + a; a = 8
OR
56 = 7a; a = 8
Second factor is (y + 8)
Answer:
x= -5
Step-by-step explanation:
8+(-5)=3
right 3 units down 5 units
right 3 units = (3,0)
down 5 units = (0,-5)
vertex = (h,k) therefore.
Then convert the vertex form into standard form for the equation in the choice.
Thus, the answer is B.
Answer:
Angles 1, 4, and 7
Step-by-step explanation:
This is because angle 1 and the angle with 27 degrees are opposite angles and angle 4 because it is a corresponding angle, and because of angle 4 angle 7 because angles 4 and 7 are opposite diagonal angles
