<h2>
Answer:</h2>
By Substitution Method
<h2>
Step-by-step explanation:</h2>
Solve by Substitution :
We have two equations
y = 5x ---------------> Equation 1
y = 2x - 15 ------------> Equation 2
y= 2x - 15 and y= 5x
So Put the value of y in Equ 2
(5x) - 2x = -15
3x = -15
Solve equation [1] for the variable x
3x = - 15
x = - 5
Now
y = 5x
x = -5
Use the x value to solve for y
y = 5(-5) = -25
Solution :
{y,x} = {-25,-5}
So y= -25 and x= -5
Answer:
C
Step-by-step explanation:
The slope intercept of a line is y=mx +b where
- m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
- b is the y-intercept for value on the y-axis for which the line crosses it.
This graph crosses the y-axis (the vertical line) halfway between -1 and -2. This is -3/2. This means only answers a, c, and d are options.
The graph moves up from -3/2 to its next point at (-4,0). We calculate the slope using:
Slope:
We substitute
and
This decimal is equivalent to -7/8. This means C is the answer.
Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
a is correct
Step-by-step explanation:
Area of Bigger rectangle = 4x2 + 5x - 2
Area of Smaller rectangle = x2 + 3× + 5
diff. = ( 4x2 + 5x - 2) - (x2 + 3x - 5)
= 4x2 + 5x -2-x2 - 3x - 5
= 3x2 + 2x - 7
<span>y=axb^x.
when x>0 and not equal to 0</span>