Answer:
3.918kg
Step-by-step explanation:
Given parameters:
Doberman Pinscher weight = 32.65kg
Unknown:
Miniature Pinscher weight = ?
Solution:
From the first sentence;
Miniature Pinscher's weight is 0.12 times Doberman Pinscher
Miniature Pinscher's weight = 0.12 x 32.65kg
Miniature Pinscher's weight = 3.918kg
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept
Data of the first line:
m=-5
b=y-intercept=3 (y-intercept=it is the value of "y" when x=0)
y=-5x+3
A line perpendicular to the line y=mx+b will have the following slope:
m`=-1/m
Therefore: the line perpendicular to the line y=-5x+3 will have the following slope:
m´=-1/(-5)=1/5
Point-slope form of a line: we need a point (x₀,y₀) and the slope (m):
y-y₀=m(x-x₀)
We know, the slope (m=1/5) and we have a point (3,2) therefore:
y-y₀=m(x-x₀)
y-2=1/5(x-3) (point-slope form)
y-2=(1/5)x-3/5
y=(1/5)x-3/5+2
y=(1/5)x+7/5 (slope-intercept form)
Answer: the line perpendicular to the first line will be: y=(1/5)x+7/5
(2x-1)(4x+1) just multiply the terms in the parentesis
Do the following:
2x*4x
2x*1
-1*4x
-1*1
You get:
8x^2+2x-4x-1
Final result:
8x^2-2x-1
Answer: i dont know
Step-by-step explanation:
Answer:
B length = 8 in.; width = 4 in
Step-by-step explanation:
Given
the length L = w + 4
Perimeter = 24 inches
Perimeter of a rectangle
= 2(L + W)
We now have two equations.
Equation 1: L = w + 4
Equation 2: P = 2(L + W)
Substitute L as w + 4 into equation 1. And 24 for p
Therefore
24 = 2(w + 4 + w)
24 = 2(2w + 4)
Distribute 2 into (2w + 4)
We have
24 = 2 x 2w + 2 x 4
24 = 4w + 8
Subtract 8 from both sides
24 - 8 = 4w + 8 - 8
16 = 4w
Divide both sides by 4
16/4 = 4w/4
4 = w
w = 4 inches
Now substitute 4 for w into either of the equations to get
L.
Using equation 1 , we have
L = w + 4
L = 4 + 4
L = 8 inches
