A function f(x) has x-intercepts of –3 and –5. What is the constant term in the function? f(x) = x2 + 8x +

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

The constant term is 15, because x^2 + 8x+ 15 factors to (x + 3)(x +5). Thus, by the zero rule x = -3 and -5.

r-ruslan [8.4K]3 years ago

7 0

Answer:

I believe the answer is 15.

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1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al

DiKsa [7]

Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°
Similarly,
y = m∠CAD = m∠CFD

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°