Answer:
The solution of the system is at point (1,6) and (7,0).
Step-by-step explanation:
Given : System of equation and
To find : Solve the system of equation?
Solution :
We solve the equation graphically as the intersection points give you the solution of the system.
The equation given is one linear and one parabolic.
(1) is a linear equation in red line passes through (0,7) and (7,0).
(2) is a parabolic equation in blue line passes through (-1,0) and (7,0)
The intersection point of the equations are (1,6) and (7,0).
<u>Refer the attached figure below.</u>
Therefore, The solution of the system is at point (1,6) and (7,0).
Answer:
5 and -6.
Step-by-step explanation:
When you add 5 and -6, you get -1. When they are multiplied, you get -30. I just did this by finding all of the factors that went into 30 and making one negative.
Answer:
Option C i.e. y = 1/2x + 5 is the correct option.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
A(4, 7)
B(-4, 3)
Determining the slope between A and B
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [3 - 7] / [-4 - 4]
= -4 / -8
= 4/8
= 1/2
Thus, the slope of the line = m = 1/2
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now substituting m = 1/2 and b = 5 in the slope-intercept form
y = mx+b
y = 1/2x + 5
Therefore, the equation of line in the graph is:
y = 1/2x + 5
Thus, option C i.e. y = 1/2x + 5 is the correct option.
Answer:
We need 5 yards green felt and 4 yards blue felt for each quilt.
<em>Step</em><em>-</em><em>wise</em><em>:</em>
Let length of green felt be 'x' , length of blue felt be 'y' and and number of quilts be z.
If Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts.
⇒15x+12y=3z15x+12y=3z
Now, divide both sides by 3 , we get
5x+4y=1z5x+4y=1z
<em><u>Therefore, we need 5 yards green felt and 4 yards blue felt for each quilt</u></em>.
Answer:
∠one and ∠seven
Step-by-step explanation: