Geometry
1 answer:
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 =
Hope this helps!! :)
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Answer:
Step-by-step explanation:
<u>Given information</u>:
- Slope = 4
- Point on line = (-1, 2)
<u>Point-slope form</u><u> of linear equation</u>:
(where m is the slope and (x₁, y₁) is a point on the line)
Substitute the given slope and point into the formula:
<u>Slope-intercept form</u><u> of a linear equation</u>:
(where m is the slope and b is the y-intercept)
Substitute the given slope and point into the formula and solve for b:
Therefore:
<u>Standard form</u><u> of a linear equation</u>:
(where A, B and C are constants and A must be positive)
Rearrange the found slope-intercept form of the equation into standard form:
Learn more about linear equations here:
Answer:
Step-by-step explanation:
we have
The function f(x) is equal to a constant
That means
For all real numbers for x the value of the function is equal to
therefore