What is an equation of the line that passes through the point (−5,−1) and is parallel to the line 4x+5y=45?
Answers
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 .
What is the equation of the parallel line?
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 .
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Answers
Converting 5 feet 6 inches to inches is: 66 inches.
Here, we have,
given that,
convert 5 feet 6 inches to inches
we know that,
Since 1 foot is equal to 12 inches,
all we need to do is to multiply 5 with 12.
i.e. 5 * 12 = 60
The answer will be 60.
Since 6 inches are already given for the answer,
just add up 60 with 6
i.e. 60+ 6 = 66
for we to get 66 inches
which is equivalent to 5 feet 6 inches.
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Answers
Answers
25
20
O 10
05
Answers
The solution is : the value of x that makes f(x) = 15, is x = 10.
What is simplification?
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Algebra I
Functions
Function Notation
we have,
Step 1: Define
f(x) = 2x - 5
f(x) = 15
Step 2: Solve for x
Substitute in f(x) [Function]: 15 = 2x - 5
[Addition Property of Equality] Add 5 on both sides: 20 = 2x
[Division Property of Equality] Divide 2 on both sides: 10 = x
Rewrite: x = 10
hence, The solution is : the value of x that makes f(x) = 15, is x = 10.
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Answer:
10
2(10)-5
20-5
15
10 should be your answer
Answers
Take the 5 and turn it to a decimal, 0.05.
Times that by 24. 0.05×24= 1.2
That equals out to 1.2, but since we're talking about money we have to add the zero at the end. 1.20.
Now add the 1.20 to 24.
24+1.20= 25.02.
hope this helps!