F(x)=2x-5
j(x)=f(x)+3=2x-5+3=2x-2
j(x)=2x-2
Answer:
y - 7 = -1/4(x-4)
Step-by-step explanation:
point slope is y-y₁=m(x-x₁)
(4, 7) and (8, 6)
I like to put it in the slope-intercept form first
so... 6 - 7/ 8-4 = -1/4 (slope)
6 = -1/4(8) + b
6/(-2) = -2/(-2) + b
-3 = b
so... y=-1/4x + -3
plug it in to point slope form
y - 7 = -1/4(x-4)
hopefully that made sense :)
Find distance of side = (y₂- y₁) / (x₂- x₁)
you can get length and width
then area = length * width
perimeter = 2 * (length + width)
Answer:
Step-by-step explanation:
The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.
Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)