Answer:
Slope = 1/2
Y intercept = (0,4)
X Y
0 4
2 5
4 6
6 8
Step-by-step explanation:
Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
3/7 is the least, 4/5 is the middle, 5/6 is the greatest.
Answer:
The coordinates of D are (8,3)
Step-by-step explanation:
We have quadrilateral ABCD being a parallelogram with coordinates A(3,2), B(5,4), C(10,5), and D(a,b).
We want to find the coordinates of D.
Since ABCD is a parallelogram, the diagonals AC and BD bisects each other.
The midpoint of AC is (13/2,7/2).
This is also the midpoint of BD.
By the midpoint rule:

This implies that:

Similarly,

The coordinates of D are (8,3)
Answer:
D
Step-by-step explanation:
First let's notice a couple things:
- All the answers are in y = mx + b form
- Two of the answers don't have a value for b
- Pretty much all of the answers have a different m value
So let's go in order of our realizations.
Let's start with figuring out what b is. By simply looking at the graph, we can see that b = 0, because the line starts at (0, 0). Remember that b is when the line crosses the y axis, and our y value at x = 0 is 0.
This crosses out A and B.
Now let's find m, aka the slope. We can figure this out using the slope formula:

Awesome! So we've figured out that m = 7/2. This means our answer has to be D.