Write and simplify an expression for the area of the triangle (please answer!)

Mathematics

2 answers:

Assoli18 [71]2 years ago

5 0

That’s what u got I don’t know if there’s another answer

kap26 [50]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 6 $x^{4}$ and h = x², thus

A = $\frac{1}{2}$ × 6 $x^{4}$ × x² = 3 $x^{4}$ × x² = 3 $x^{6}$

This polynomial has only 1 term and

is of degree 6 ( the value of the exponent in the term )

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Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?

Delvig [45]

The answer is 5, 4, 2

Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
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8x - 40
(x - 5) * 8 = 8x - 40 Sutract
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0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2

3 0

3 years ago

Using the quadratic equation formula to solve 7x^2-x=7, what are the values of x

Gennadij [26K]

quadratic formula:

x = -b ± √(b² - 4ac)

7x² - x = 7

subtract 7 from both sides:

7x² - x - 7 = 0

plug values into the quadratic formula:

x = -(-1) ± √((-1)²- 4(7)(-7))

2(7)