Look at the photo I’ve attached
Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7
1 answer:
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According to the midsegment theorem, the midsegments are parallel to
and half the length of the opposite side.
The completed statement are as follows;
- Because the slopes of
and
are both<u> -4</u>,
- EF =
and AC =
- Because
=
,
<u />
Reasons:
From the given graph of ΔABC, we have;
Coordinates of the points <em>A</em>, <em>B</em>, and <em>C </em>are; A(-5, 2), B(1, -2), and C(-3, -6)
The coordinates of the point D and E on are; D(-4, -2), and E(-2, 0)
The coordinates of the point F is; F(-1, -4)
Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)
Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)
Therefore, we have;
Because the slope of and
are both , <u>-4</u>,
║
. EF =
, and AC
= ,. Because
=
,
Learn more about midsegment theorem of a triangle here:
to find the vertical asymptote, set the denominator equal to zero and solve for x.
to find the horizontal asymptote, only evaluate the terms in the numerator and denominator that have the biggest exponent. Use the following rules (m is the exponent of the numerator and n is the exponent of the denominator):
m > n, then y = ∞ so there is no asymptote
m = n, then simplify the coefficients to determine the asumptote
m < n, then y = so the asymptote is y = 0
m = 2, n = 1 ⇒ m > n so y = ∞
Answer: there is no horizontal asymptote