Answer:
None of the options are correct, as the answer is <u>2x - 18 = 68.</u>
Step-by-step explanation:
The <u>2x</u> represents the length (x) being half of the width (68)
The <u>-18</u> represents the width (68) being 18 less than twice the length (2x)
Answer:
The graph of the line in the attached figure
Step-by-step explanation:
we have

This is the equation of a line into point slope form
The slope is 
The line pass through the point (-6,-7)
To graph the line find the y-intercept
Remember that
The y-intercept of the line is the value of y when the value of x is equal to zero
so
For x=0




The y-intercept is the point (0,-3)
with the point (-6,-7) and (0,-3) plot the line
see the attached figure
Answer:
-3
Step-by-step explanation:
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.