Answer:
the slope is -1/2 and the y-intercept is -4
Step-by-step explanation:
The original formula is y=mx+b. m is the slope of the graph and b is the y-intercept. You just plug in the numbers to the original formula to get the formula for the graph. The slope is always the number that is right next to the x, or the number which is multiplied by the x. The y-intercept is always the number that is not by x.
The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
<h3>How to find one solution of equation?</h3>
If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
- One solution-When the provides the singe value of the given variable, we get one or unique solution.
- No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
- Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
This equation has one solution. This in not correct option.
The second equation given in the problem is,
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
Learn more about the solution of the equation here;
brainly.com/question/21283540
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Step-by-step explanation:
As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE
<u>Question number 23:</u>
Given
DS = 3x+10
SE = 6x-2
As the two segments are equal:

Subtracting 10 from both sides

subtracting 6x from both sides

Dividing both sides by -3

Now

And

<u>Question No 24:</u>
Given
DS = x+3
DE = 56
We know that:

So
DS = 
As DS is 28, SE will also be 28
Hence,
Question 23:
x = 4
DE = 44
Question 24:
x = 25
SE = 28
Keywords: Bisector, Line segment
Learn more about line segments at:
#LearnwithBrainly
Answer: 1/12 yards
Step-by-step explanation:
The length of the pieces originally were 1/4 yards.
Jamie then cuts them into a 1/3 of their original length.
The new length is therefore:
= Original length * proportion of original length strips are cut into
= 1/4 * 1/3
= 1/12 yards
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Step-by-step explanation:
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