Answer:
Green line: -1/2
Blue line: -1/2
Step-by-step explanation:
Both of them in slope-intercept form:
Green line: y= -1/2x-11/2
Blue line: y= -1/2x-7
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B. 8.9 in.
C. 10 in.
D. 9.1 in.
Answer:
x2 = 8.1 in (Option A)
Step-by-step explanation:
Given:-
- The extension of spring x1 = 9 in
- The weight hanged F1 = 100 lbs
Find:-
How far will it stretch with 90 pounds attached?
Solution:-
- The linear extension x of spring is proportional to the amount of force F applied to the spring.
F = k*x
Where, k = is the proportionality constant called stiffness of the spring.
- We will first determine the spring stiffness k using the given data as follows:
F1 = k*x1
100 = k*9
k = 100 / 9
- Now, we will determine the amount with which the spring stretches x2 when the hanged weight is changed to F2 = 90 lbs. Using the first relation we plug in the value of proportionality constant (stiffness) k.
F = (100 / 9)*x
F2 = (100 / 9)*x2
90 = (100 / 9)*x2
x2 = 810 / 100
x2 = 8.1 in
- The amount of spring stretches when the applied load of weight hanged is changed to F2 = 90 lbs is x2 = 8.1 in.
Answer:
y = -4/5x - 5
Step-by-step explanation:
4x + 5y = 45
we need to write it in slope intercept form, so:
5y = -4x + 45
y = -4/5x + 45/5
y = -4/5x + 9
The line is parallel so the slope will be -4/5x, point ( -5 -1 )
y = mx + b
-1 = -4/5(-5)+b
-1 = 4 + b
-1 - 4 = b
-5 = b
y = -4/5x - 5
The equation of the line that passes through the point (-5, -1) and is parallel to the line 4x + 5y = 45 is .
Given the parameter:
Equation of the original line: 4x + 5y = 45
Point of the parallel line: (-5,-1)
First, we determine the slope of the original line:
4x + 5y = 45
4x - 4x + 5y = -4x + 45
5y = -4x + 45
y = (-4/5 )x + 45/5
y = (-4/5 )x + 9
Hence, the slope is -4/5.
Since the slope of the parallel line will be the same as that of the original line.
Plug the slope m = -4/5 and point (-5,-1) into the point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
Therefore, the equation of the parallel line is .
Learn more about equation of line here: brainly.com/question/2564656
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15 m
What is the perimeter?
Answer:
The perimeter is 46.
Step-by-step explanation:
You have to add the numbers 15 + 15 = 30 and 8+8 =16 then add 30 plus 16 which gets you 46.
Answer:
The perimeter is 46
Step-by-step explanation:
do the math 8+8=16 15+15=30 30+16=46