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rodikova [14]
3 years ago
9

What is the leading coefficient of the polynomial F(x) defined below?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer: 2

Step-by-step explanation:

The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .

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Part 2 of math help me please
serious [3.7K]

Answer:

<1 = <5 is True

<2 = <4 is True

<2 = <7 is False

<3 and <6 are not a linear pair

<4 and <5 are not supplementary angles

m<5 is 75°

m<11 is 75°

m<16 is 65°

4 0
3 years ago
I need help with this math problem
boyakko [2]
Consider the right triangle HBF. The Pythagorean theorem tells you ...
   HF² = HB² + BF²

The lengths HB and BF can be determined by counting grid squares, or by subtracting coordinates. Here, it is fairly convenient to count grid squares. When we do that, we find ...
   HB = 2
   BF = 5
Using these values in the equation above, we get
   HF² = 2² + 5²
   HF² = 4 + 25 = 29
Taking the square root gives the length HF.
   HF = √29

5 0
3 years ago
How could you use the Distributive Property to rewrite the expression −(8 + 12)?
guajiro [1.7K]

Answer:

-20

Step-by-step explanation:

-8-12=-20

8 0
3 years ago
Read 2 more answers
Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

4 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance
stiv31 [10]

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

3 0
2 years ago
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