If u vector= a vector-b vector and v vector= a vector+b vector and magnitude of a = b = 2, then magnitude of u vector multiply v vector =???

Answers

Answer 1

Answer:

zero

Step-by-step explanation:

[tex]\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0[/tex]

So, vector u and vector v are perpendicular to each other.


Related Questions

(x-1)(x-2)(x-3)(x-4)(x-5)=0

Answers

Answer:

x=1, x=2, x=3, x=4, x=5

Step-by-step explanation:

set each expression in the parenthesis equal to 0 to solve for the roots

Describe how the rate of change and initial value of the linear function are represented in the graph of the function

Answers

Answer:

c on edge

Step-by-step explanation:

What values complete the table if y = x√3
x
3
?

Answers

Answer:

O . A) -3, 0 , 3

Step-by-step explanation:

Since y is equal to

[tex] \sqrt[3]{x} [/tex]

Just replace X with the values in the first box

Plz help thank you so much

Answers

Answer:

Step-by-step explanation:

A solution is usually thought of as the intersect points of the graph with the x axis. So you have to make a guess here. I don't think you can get an exact answer.

The left solution looks like it is about 2/3 the way to three, so that would make the answer about - 2.67

The right solution looks about the same: 2/3 the way to 3 os the answer there would be 2.67

A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice

Answers

Answer:

80/243

or

.329218107

Step-by-step explanation:

This is a binomial distribtuion

THe probability of red= 1/3

the probability of not red= 2/3

Probability of getting exactly 2 reds in 5 spins

[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]

or

80/243

Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron

Answers

Answer:

$2475  or $1875

Step-by-step explanation:

Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475

However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625

$2500-$625= $1875

Can someone help me with this task please? !!

Answers

Answer:

69

Step-by-step explanation:

Answer:

1: (B)

2: (C)

3: (D)

4: (D)

5: (A)

Step-by-step explanation:

Question 1:

Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.

Question 2:

The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.

Question 3:

From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.

Question 4:

It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.

Question 5:

The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.

Hope this helps (●'◡'●)

How many solutions does 8x=−9+7x have?

Answers

Answer:

The equation has only one solution, x = -9

Step-by-step explanation:

We want to find how many solutions the equation:

8x = -9 + 7x

has.

To find it, let's simplify the equation.

First, let's move all the terms with x to the left side, and the terms without x to the right side:

8x - 7x = -9

(8 - 7)*x = -9

1*x = -9

x = -9

So we can see that we have only one solution, x = -9

Find the volume. Leave answer in exact form (in terms of π) ​

Answers

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

Need help please!

(5^3)^6

Answers

Answer:

[tex]5^{18}[/tex]=3,814,697,265,625

Step-by-step explanation:

Multiply the exponents

3×6=18

[tex]5^{18}[/tex]

Answer:

Simplest value of given expression = 5¹⁸

Step-by-step explanation:

Given algebraic equation;

[5³]⁶

Find:

Simplest value of given expression

Computation:

Given fraction [5³]⁶

Using Property of exponents

[Xᵃ]ᵇ = X ᵃ ˣ ᵇ

So,

Using Property of exponents

⇒ [5³]⁶

⇒ 5 ³ ˣ ⁶

⇒ 5¹⁸

Simplest value of given expression = 5¹⁸

Find the value of x for the right triangle.

Answers

Answer:

x = 3

Step-by-step explanation:

take 60 degree as reference angle and using cos rule

cos 60 = adjacent/hypotenuse

1/2 = x/6

do cross multiplication

2*x = 6*1

x = 6/2

x = 3

which of the following choices evaluates 2f^2 + (h-g)^3 when f=2, g=3, and h=4

a: 11
b: 3
c: 9

Answers

The answer is 9. Just substitute the correct numbers where they go and plug it into your calculator

Find the cost of 5¾ m of cloth at rupees 42½ per metere​

Answers

Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m

Cost of cloth per m = ₹42¹/2 -> ₹42.5

Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375

Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375

Answer:

Answer given below

Step-by-step explanation:

[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4

= 23/4 m

[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2

= 85/2 rupees

cost of 1 meter cloth = 85/2

cost of 23/4 meter cloth = 85/2 * 23/4

= rupees 1955/8

= [tex]244 \frac{3}{8}[/tex] rupees

The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure

Answers

Answer:

Tue area of the new figure is 28ft

Step-by-step explanation:

Each side 20/4=5

The length 5+2=7

The width 5-1=4

The area 7x4=28

HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW

Answers

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3

Answers

Answer:

Table (C)

Step-by-step explanation:

Given equation of the parabola is,

f(x) = 9x² + 5x + 3

By comparing this equation with,

f(x) = ax² + bx + c

a = 9, b = 5 and c = 3

Since, leading coefficient (a) of the function is positive,

Parabola will open upwards.

For y-intercept,

Substitute x = 0 in the equation,

f(0) = 9(0)² + 5(0) + 3

f(0) = 3

Therefore, y-intercept is (0, 3).

Table (C) is the answer.

Anyone knows the answer?

Answers

Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

3 to the power 10=
Pls answer fast

Answers

The answer is 59049.

Kuaaahahahahahahahah!

For which interval is the average rate of change of f(x) negative?

Answers

Option C. It’s where it’s decreasing over the entire interval.

H I wanted to ask if that in high school math is harder than middle school?

Answers

Answer:

Yes, it is harder.

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7

Answers

Answer:

B

Step-by-step explanation:

f(x) = x²+49 , rewrite the equation

x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides

x² = -7², square root both sides

√x² =√-7², consider √-1 =i

x= ±7i

the roots are -7i and 7i

Answer:

B

Step-by-step explanation:

To find the zeros equate f(x) to zero , that is

x² + 49 = 0 ( subtract 49 from both sides )

x² = - 49 ( take the square root of both sides )

x = ± [tex]\sqrt{-49}[/tex] = ± 7i

Solutions are x = - 7i, x = 7i

Two numbers are in the ratio 2:3 and their sum id 45 then find both number​

Answers

Answer:

Step-by-step explanation:

Let the two numbers be 2x and 3x.

According to the question,

2x+3x=45

5x=45

x=45/5

x=9

so th required numbers are 18 and 27 as

2x=2*9=18

3x=3*9=27

It is given that,

→ Two numbers are in the ratio 2:3.

→ Their sum is 45.

We have to,

find the both required numbers.

Now assume numbers as,

→ 2y and 3y

As per the given information,

→ 2y + 3y = 45

First we can find the value of y,

→ 2y + 3y = 45

→ 5y = 45

→ y = 45/5

→ [y = 9]

The given ratio is,

→ 2 : 3

Let's find the value of 2y,

→ 2y --- {y = 9}

→ 2 × (9)

→ 18

Let's find the value of 3y,

→ 3y --- {y = 9}

→ 3 × (9)

→ 27

Hence, the number is 18 and 27.

At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?

Answers

Answer:

$5200

Step-by-step explanation:

Given :

Amount invested, Principal, P = $5000

Interest rate, r = 4% = 4/100 = 0.04

Amount in account at the end of the year, A

period, t = 1 year

Using the relation :

A = P(1 + rt)

A = $5000(1 + 0.04*1)

A = $5000(1 + 0.04)

A = $5000 * 1.04

Amount in account at year end = $5200

Which equation justifies why ten to the one third power equals the cube root of ten?

Answers

Answer:

Step-by-step explanation:

AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.

Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 36m2. He knows that the base must be 1 less than 2 times the height. Find the equation that correctly shows the area of the triangle.

A. x(2x - 1) = 36
B. 1/2x(2x - 1) = 36
C. 1/2x(2x - 1) = 18
D. x(2x - 1) = 18

Answers

Answer:

Equation for area = 36 = [1/2]x[2x - 1]

Step-by-step explanation:

Given:

Area of triangle = 36 m²

Length of base = 2(Height) - 1

Find:

Equation for area

Computation:

Assume;

Height = x

Area of triangle = (1/2)(b)(h)

36 = (1/2)[2(x) - 1][x]

36 = [1/2]x[2x - 1]

Equation for area = 36 = [1/2]x[2x - 1]

Please help me please!!

Answers

Answer:

Extracting out that inner right angle.

Hypotenuse = 8

Height = h

Adjacent :

[tex] = \frac{10}{5} = 2[/tex]

Height, h :

[tex]{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units[/tex]

Solve system by elimination -9x - y =-19
5x + y = 15

Answers

Answer:

(1, 10 )

Step-by-step explanation:

Given the 2 equations

- 9x - y = - 19 → (1)

5x + y = 15 → (2)

Adding the 2 equations term by term will eliminate the y- term

- 4x + 0 = - 4

- 4x = - 4 ( divide both sides by - 4 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

5(1) + y = 15

5 + y = 15 ( subtract 5 from both sides )

y = 10

solution is (1, 10 )

i need help
measure of each labeled angle

Answers

Answer:

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Step-by-step explanation:

A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,

[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]

Substitute the given values ,

[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]

Simplify the RHS by adding the variables ,

[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]

Add 20° to both sides ,

[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]

Add the numbers in RHS ,

[tex]\sf\longrightarrow 5x = 200^o [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]

Therefore ,

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.

Answers

Answer:

74 mph

Step-by-step explanation:

The driver started driving at s mph.

After 3 hours, the speed became s + 10 mph.

The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.

speed = distance/time

distance = speed * time

distance = (distance driven at speed s) + (distance driven at speed s + 10)

894 = s * 3 + (s + 10) * 8

3s + 8s + 80 = 894

11s + 80 = 894

11s = 814

s = 74

Answer: 74 mph

There are 52 cards in a standard deck. Thirteen of those cards are spades . The deck is shuffled and a group of 3 cards is dealt . How many different combinations of three spades are possible ?

Answers

Answer:1716

Step-by-step explanation:

13 spades is choice 1

13-1=12

12 spades are left in the draw to be taken so 13*12

12-1=11

11 spades are left so 13*12*11

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