Part 1) Finding x
Note the double tickmarks for segments XY and YZ. This indicates the segments are the same length, which leads to point Y being the midpoint of segment XZ.
Therefore, XZ is twice as long as XY
XZ = 2*( XY )
XZ = 2*( 2x-1 )
XZ = 4x - 2
We also know that XZ = 2(3x-4) = 6x-8. Let's equate 4x-2 and 6x-8 and solve for x
6x-8 = 4x-2
6x-4x = -2+8
2x = 6
x = 6/3
x = 3
<h3>Answer is 3</h3>
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Part 2) Finding the length of YZ
The resut of part 1 (x = 3) is plugged into the equation for XY to get
XY = 2*x-1
XY = 2*3-1
XY = 6-1
XY = 5
Segment XY is 5 units long. So is segment YZ as these two segments are the same length (aka congruent).
<h3>Answer: 5</h3>
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Part 3) Finding the length of segment XZ
The answer from the previous part was 5. This doules to 5*2 = 10
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A longer way to get the same answer is to plug x = 3 into the XZ equation and we get...
XZ = 2*(3x-4)
XZ = 2*(3*3-4)
XZ = 2*(9-4)
XZ = 2*5
XZ = 10
and we get the same answer
<h3>Answer: 10</h3>
Answer: [-1/8, infinity) , {x | X greater than or equal to -1/8}
Step-by-step explanation:
Domain is what x can be. Thus, in the function f(x), we place limits such as x cannot make the square root a negative number because then it would not be a real number. Thus 8x+4-3 can be simplified to 8x+1. Setting this to 0, we get 8x+1=0 which solves out to x cannot equal -1/8. Thus, x can equal and be greater than -1/8.
The length of the notebook is 54 inches in length... all you have to do is 108 divided by 2 which equals 54. This is the answer. Hope this helps... plz help me... name this the brainliest answer.., thx
Answer:
q=8
Step-by-step explanation:
To solve for q, we need to get q by itself. To do this, preform the opposite of what is being done to the equation. Also, everything must be done to both sides of the equation.
8q-15=49
Add 15 to both sides, since 15 is being subtracted.
8q-15+15=49+15
8q=64
Divide both sides by 8, since 8 and x are being multiplied.
8q/8=64/8
q=8
Answer:
Change the equation to the slope intercept form (y = mx + b)
2y = 6x + 8
Divide equation by 2
y = 3x + 4
Therefore
The line as a y intercept of 4
:
Parallel lines have the same slope;
Find the slope by putting in the equation in the point/intercept form
4x + 4y = 20
4y = -4x + 20
Divide equation by 4, results
y = -1x + 5
:
Now we know the slope (-1) and the y intercept (+4) if the line
y = -1x + 4
or just
y = -x + 4 is "the line"
Step-by-step explanation:
