In this question, you have to use the Pythagorean theorem. (the formula is in the box, ‘a squared’ and ‘b squared’ is used to find the legs of the triangle, while the ‘c squared’ in the formula is used to find the hypotenuse of the triangle.
Answer: *An image created by a reflection will always be congruent to its pre-image.
*Corresponding angles and segments are always congruent in a reflection of a figure.
*An image and its pre-image are always the same distance from the line of reflection.
Step-by-step explanation:
Since, reflection is a rigid transformation therefore, it preserves the shape of the figure and create congruent images.
And we know that if if two figures are congruent then their corresponding angles and sides are congruent.
Reflection maps a figure to create its mirror image, and the distance of object and image is always equal from the mirror, therefore "An image and its pre-image are always the same distance from the line of reflection."
We have been given a system of inequalities and an objective function.
The inequalities are given as:
And the objective function is given as:
In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.
Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
Answer:
2 scoops
Step-by-step explanation:
the flat fee is $4.00. 4+1.25=5.25. You have $6.75 to spend, so you can probably add on another scoop. 5.25+1.25=6.5. I was correct. To simplify, two scoops of ice cream without the cone is $2.50, but you will probably have a cone with your ice cream so that adds on $4.00. $4.00+$2.50=$6.50 and that is the max amount of ice cream scoops and cones since you cannot go over your budget.
Answer:Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 1/2
Hope this helps:)
Step-by-step explanation:
