Answer:
let the two numbers be x and y
x+y=45(equation 1)
x-y=5(equation 2)
from equation (1) y=45-x(equation 3)
substitute 45-x for y in equation 2
x-(45-x)=5
x-45+x=5
x+x-45=5
2x-45=5
2x=45+5
2x=50
x=50/2
x=25
Answer:
(b) Both vertical and horizontal reflection
Step-by-step explanation:
The figure will be a horizontal reflection of itself about any vertical line through two of the smaller 6-pointed stars.
The figure will be a vertical reflection of itself about any horizontal line through two of the smaller 6-pointed stars.
the pattern has both vertical and horizontal reflection
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<em>Additional comment</em>
A pattern will have horizontal reflection if there exists a vertical line about which the pattern can be reflected to itself. That is, there exists one (or more) vertical lines of symmetry.
Similarly, the pattern will have vertical reflection if there is a horizontal line about which the pattern can be reflected to itself. Such a line is a horizontal line of symmetry.
Answer:
P(x) =x² + 3x + 2
Step-by-step explanation:
You have two zeros, so the polynomial is a quadratic.
The general form of a quadratic is
P(x) = ax² + bx + c
Sum of zeros = -b
Product of zeros = c
The polynomial becomes
P(x) = x² - (sum of zeros)x + (product of zeros)
Sum of zeros = -3 and product of zeros = 2, so
P(x) = x² + 3x + 2
The graph of P(x) (below) shows that the zeros are at -2 and -1
Sum of zeros = -2 + (-1) = -3
Product of zeros = -2 × (-1) = 2
Answer:
Step-by-step explanation:
using form:
where a: starting number
where r: common ratio (in this case each next term is 3 times previous term)
