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telo118 [61]
3 years ago
11

Equation through the point (5,9) with a slope of -4

Mathematics
2 answers:
hoa [83]3 years ago
4 0
The answer is: y=-4x+29

To solve this, you need to know the y-intercept. 
1. y=-4x+b
2. 9+-4(5)+b
3. 9=-20+b
4. b=9+20
5. b=29
6. Substitute into y=-4x+b

melomori [17]3 years ago
3 0
Y-9=-4(x-5) Remove the () y-9=-4x+5 Simplify the equation by adding 9 to each side. y=-4x+14 (I used the point slope form and turned it into slope intercept form).
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The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?
MAXImum [283]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.

First, let's take a look at our question, and evaluate it.

"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"

To clarify this problem, we are looking for the patio's width.

Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".

So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.

To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.

So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.

Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.

So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x

To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x

We are now left with:
x = 3.75

Your answer is:
The patio's width is 3.75 yards.

I hope this helps!
8 0
3 years ago
Graph the system of equations on your graph paper to answer the question.
scZoUnD [109]
<span>y=x-4
y=-x+6 
---------------------
Substitute x - 4 for y in </span>y=-x+6 
x-4=-x+6<span>
--------------------------------
Add X on each side
</span><span>x-4+x</span>=-<span>x+6+x
</span>2x - 4 = 6
--------------------------------------
Add 4 on each side
<span>2x-4+4</span>=<span>6+4
</span>2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=<span>x-<span>4
</span></span>y = 5 - 4
y = 1
-----------------------------------------------------
Your answers are Y = 1 and X = 5

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Explanation
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the five performers who will present their comedy acts this weekend at a comedy club how many different ways are there to schedu
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The answer is $116.18. 135 is 116.2% of the previous year.
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