(10x^4+5x^3+4x^2-9)(x-1)​

Answer:

[tex]90^\circ[/tex]

Step-by-step explanation:

Given two non zero vectors, [tex]\vec a, \vec b[/tex].

Let the angle between the two vectors = [tex]\theta[/tex]

Given that:

[tex]|\vec a+\vec b|=|\vec a-\vec b|[/tex]

Let us have a look at the formula for magnitude of addition of two vectors:

[tex]|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}[/tex]

Where [tex]\theta[/tex] is the angle between the two vectors.

formula for magnitude of subtraction of two vectors:

[tex]|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}[/tex]

As per the given condition:

[tex]\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}[/tex]

Squaring both sides:

[tex]a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ[/tex]

So, the angle between the two vectors is: [tex]90^\circ[/tex]

Any two parallel lines always have the same slope (but different y intercepts)

The equation of the green line is y = (8/5)x+6

The equation of the red line is y = (8/5)x-3

Slope intercept form is y = mx+b with m as the slope and b as the y intercept.

The slopes must be the same so that each time the line goes up some amount, we move to the right the same amount. Think of a set of stairs to possibly visualize what I mean. If the slopes are different (even slightly), then the lines will intersect at some point and we wouldn't have parallel lines.

Answer:

Step-by-step explanation:

150 students/3 classes= 50 students per class

The answer to your question is 4.8 kilometers. Brainliest?

Answer:

1.86

Step-by-step explanation:

Answer:

The other lockers that were changed exactly 3 times are:

Locker 1 and Locker 7

Step-by-step explanation:

Question: What other lockers were changed exactly 3 times?

Answer: Lockers 1 and 7

How?

Locker 1 was opened by a student other than student 1; it was closed by a student other than student one; and it was opened by student 1.

Same happened with Locker 7.

The relationship between these numbers is an associative relationship.

Answer:4782984

Step-by-step explanation:

Answer:4782984

Step-by-step explanation:

Answer:

The coordinates of point P are (2,5)

Step-by-step explanation:

We know that point P divides AB internally in the ratio 3:2, that is AP/PB = 3/2,

we thus use the formula for internal division.

Let A = (x₁, y₁) = (-4, 8), B = (x₂, y₂) = (6, 3) and P = (x, y)  

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

where m = 3 and n = 2

Substituting the values of the x coordinates of A and B into x, we have

x = (mx₂ + nx₁)/(m + n)

x = (3 × 6 + 2 × (-4))/(3 + 2)

x = (18 - 8)/5

x = 10/5

x = 2

Substituting the values of the y coordinates of A and B into y, we have

y = (my₂ + ny₁)/(m + n)

y = (3 × 3 + 2 × 8)/(3 + 2)

y = (9 + 16)/5

y = 25/5

y = 5

Therefore, the coordinates of point P are (2,5)

Answer:

Yes

Step-by-step explanation:

6,000 is 10 times greater than 60

Answer:

9 - 21x  

Step-by-step explanation:

Simplify the following:

7 (1 - 3 x) + 2

Hint: | Distribute 7 over 1 - 3 x.

7 (1 - 3 x) = 7 - 21 x:

7 - 21 x + 2

Hint: | Add the numbers in -21 x + 2 + 7 together.

Add like terms. 2 + 7 = 9:

9 - 21 x

Hint: | Factor out the greatest common divisor of the coefficients of 9 - 21 x.

Factor 3 out of 9 - 21 x:

Answer: 3 (3 - 7 x)

(of the given solutions it's the only correct one, but can be further simplifued to 3 (3 - 7 x)

Answer:

Equation to represent all number of points = |4|

Step-by-step explanation:

We are told that a player either wins or loses 4 points during each turn. This means a player could either gain 4 points or loose 4 points. When writing this in Mathematical terms its means either -4 or +4.

Now, since possible number of turns is -4 or 4, then we can represent this with the absolute value symbol.

Thus, it's |4|

Answer:

x^2 - 8x + 9

Step-by-step explanation:

Please write x2+9-8x as x^2 + 9 - 8x.  The " ^ " indicates exponentiation.

Next, please write x^2 + 9 - 8x in descending powers of x:

x^2 - 8x + 9

Answer:the answer would be 2.5/5

Answer:

4 pints

Step-by-step explanation:

16 oz in a pint

Answer:

thousands place

Step-by-step explanation:

Answer:

Any number less than -13.

Step-by-step explanation:

If the number is real and rational and non-natural, this means that it can be any number in the negative number space.

Additionally, since the number has to be less than -13, then the number could be any number less than -13.

With all these things considered, the number is any number less than -13 that is real and rational.

Cheers.

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

Answer:

$170.14

Step-by-step explanation:

4,861 / 1,000 = $4.861 per gallon

35 x $4.681 = $170.135, so you need to round up to the nearest penny

Step-by-step explanation:

For 1000 gallons=$4861

For 1 gallon =$4861/1000

For 35 gallons=$4861/1000 x 35=170.135

Answer:

-12

Step-by-step explanation:

a + b

a = -46

b = 34

-46 + 34 = -12

Answer:

$50 is profit because every $50 it intersects.

X would be the $50 so 10x50=500-150=which would be $350.

I think this is right hope this helps!

Answer:

4096

Step-by-step explanation:

Answer:

4096

Step-by-step explanation:

4 to the third power is 64 and 64 to the 2nd power is 4096 so that should be your answer

Answer: 3 seconds

Step-by-step explanation: the pump fills 1 tire per second

Answer:

20

Step-by-step explanation:

The total gains of Jack if, In the first play, he gained 12 yards, in the second play lost 15 yards, in the third play gained 25 yards, and in the fourth play lost 2 yards is 20 yards.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

In the first play, he gained 12 yards, in the second play lost 15 yards, in the third play gained 25 yards, and in the fourth play lost 2 yards.

Assume the gains can be denoted by positive and loss by negative,

Gains = 12 yards, 25 yards.

Total gain = 12 + 25 = 37 yards

Loss = -15 yards, -2 yards

Total loss = -15 + (-2) = -17 yards

Calculate the total gain as shown below,

Total gain = total gain + total loss

Total gain = 37 + (-17)

Total gain = 20 yards.

To know more about subtraction:

https://brainly.com/question/28008319

#SPJ2

Answer:

Step-by-step explanation:

Answer:

92%

Step-by-step explanation:

Answer:

the last one is the only one with a y intercept of -1

Step-by-step explanation:

Answer:

$4.44

Step-by-step explanation:

Cost per yard = $10/2.25

= $4.44 (nearest cent)

the answer $ 4.44

explanation :

so first of all you need to divide 10 by 2 1/4

when you divide both number you'll get 4 4/9

4 4/9 can also be written as 4.44444444444

which is also 4.4 recurring

now we can round this off

when you round it off, you should round it off to two decimal points cause the answer should be in dollars

you should get 4.44 as an answer

so the answer will be $ 4.44

really hope that helped :)

Answer:

4/5*3/4&6/7*2/5

Step-by-step explanation:

4/5*3/4=12/20

6/7*2/5=12/35

The answer would be

B. 9