Answer:
A. (-7 -2)
Step-by-step explanation:
You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:
7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)
-21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses
-51x = 357 . . . . . . . . collect terms
x = -7 . . . . . . . divide by -51. This matches answer choice A.
Answer:
Contradiction
Step-by-step explanation:
Suppose that G has more than one cycle and let C be one of the cycles of G, if we remove one of the edges of C from G, then by our supposition the new graph G' would have a cycle. However, the number of edges of G' is equal to m-1=n-1 and G' has the same vertices of G, which means that n is the number of vertices of G. Therefore, the number of edges of G' is equal to the number of vertices of G' minus 1, which tells us that G' is a tree (it has no cycles), and so we get a contradiction.
Answer:
$2.62
Step-by-step explanation:
The rate per thousand is ...
... (premium amount)/(number of thousands of face value)
... = $397.26/151.625 ≈ $2.62
The axis of symmetry of g(x) is 2 units right side from the origin then the function is
. Then the correct option is A.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function f(x) is
.
The axis of symmetry of f(x) is left side by 3 units.
The axis of symmetry of g(x) is 5 units to the right of f(x).
Then the axis of symmetry of g(x) is 2 units right side from the origin.
Then the g(x) will be

Thus, the correct option is A.
More about the function link is given below.
brainly.com/question/14674614
Answer:

Step-by-step explanation:
<u>Surface Areas
</u>
Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.
Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

The back left area is another rectangle of 4.5 mm by 9 mm

Finally, the back right area is a rectangle of 6 mm by 9 mm

Thus, the total surface area of the prism is

