Answer:
Step-by-step explanation:
Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.
f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1
Find (f(x) + g(x)) when x = -1
(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)
= [ x² + x + 14 - 2] add like the term
(f(x) + g(x)) = x² + x + 12
(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1
= 1 - 1 + 12
= 12
Answer:
Length:28 cm
Width: 13 cm
Step-by-step explanation:
Let
x ---> the length of a rectangle picture frame
y ---> the width of a rectangle picture frame
we know that
The area of a rectangle picture frame is equal to
we have
so
----> equation A
The length of a rectangle picture frame is 2 centimeters more than twice it’s width
so
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (28,13)
see the attached figure
therefore
Length:28 cm
Width: 13 cm
We can use triangle inequality to prove it. What this rule is, it's basically if u add up 2 sides of the triangle, the length must be longer than the third side, check all 3 sides, and if all sides matches with the rule, a triangle is possible.
Answer: Last option.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
Where m is the slope and b the intersection with the y-axis.
You can observe in the graph that the line passes through the origin, then:
Choose two points of the line and calculate the slope with:
Points: (2,3) and (-2,-3)
Substitute values, then the slope is:
Substituting "m" and "b" into , you get that the equation is:
This can be written as:
Answer:
All parallelograms are squares.
Step-by-step explanation: