For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w? ⟨6, 1⟩ ⟨6, 5⟩ ⟨-6, 5⟩ ⟨-6, 21⟩

Answers

Answer 1

Answer:

< - 6, 5 >

Step-by-step explanation:

Add the corresponding components of each vector, that is

u + v + w

= < 2, 9 > + < 4, - 8 > + < - 12, 4 >

= > 2 + 4 - 12, 9 - 8 + 4 >

= < - 6, 5 >

Answer 2

Answer: C) < - 6, 5 >

Step-by-step explanation: :)


Related Questions

Please help me out :)

Answers

I believe the answer is A

what is f(x) = 0,5 (x-3)( x-5) in general form??​

Answers

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

what is the value of x?

Answers

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

Find three solutions for the linear equation 4x-3y = 1

PS. answer plsss​

Answers

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

a+b+c=m,a2+b2+c2=n,a3+b3=p3. If c=0 then prove that m3+2p3=3mn

Answers

Answer:

a + b + c = m

=> (a + b+ c)³= m³

⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)

=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)

with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)

have:

3mn = 3(a + b + c)(a² + b² + c²)

with c = 0

=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]

=  3a³ + 3b³ + 3(a²b + ab²)

= 3a³ + 3b³ + 3ab(a + b)

= m³ + 2p³

=> 3mn = m³ + 2p³

Step-by-step explanation:

Given the conditions a + b + c = m, a² + b² + c² = n, and a³ + b³ + c³ = p, we are required to prove that if c = 0, then m³ + 2p³ = 3mn.

If c = 0, then the equations become a + b = m, a² + b² = n, and a³ + b³ = p.

Using the sum of cubes identity (a³ + b³ = (a + b)(a² - ab + b²)), we can rewrite the third equation as (a + b)(a²- ab + b²) = p.

Since a + b = m, we can substitute this value into the above equation: m(a² - ab + b²) = p.

Now, we'll square the first equation (a + b = m) to get a² + 2ab + b² = m². Rearranging, we find ab = (m² - n)/2.

Substituting this value of ab into the equation m(a² - ab + b²) = p, we get m(a² + b² - (m² - n)/2) = p.

Now, we know that a² + b² = n, so we can replace a² + b² in the equation: m(n - (m² - n)/2) = p.

Simplifying the equation further, we get

mn - (m³ - mn)/2 = p.

Finally, rearranging the equation, we find that

m³ + 2p³ = 3mn.

Thus, we have proved that if c = 0, then m³ + 2p³ = 3mn.

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Which statement regarding the diagram is true?

m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°

Answers

Answer:

b. m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

right on edge

The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture:

As we know, triangle is a polygon with three sides and three interior angles.

From the definition of the triangle, The triangle's interior angles add up to 180°

m∠MKL + m∠MLK + m∠KML = 180

Also, the sum of the two interior angles is equal to the exterior angle.

m∠KML + m∠MLK = m∠JKM

Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

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someone help please

Answers

Answer:

Type: polynomial

degree: 3

leading coefficient: 8

Step-by-step explanation:

The given equation is: f(x) = -7x^2 + 8x^3 + 6 - 4x

To find the type, degree, and leading coefficient of the equation, the first thing we should do is rewrite the terms in decreasing order:

f(x) = 8x^3 - 7x^2 - 4x + 6

The term with the highest value is 8x^3. We can use this to determine the degree and the leading coefficient.

8 is the leading coefficient. The degree is 3.

To find the type of equation this is, we have to count how many terms there are. We can see that there are 4 terms in this equation, making this a polynomial.

ASAP 30 points and BRAINLIEST!! PLS!

Answers

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

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

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

A line contains points (3,5) and (5,8). What is the slope

Answers

Answer:

3/2x

Step-by-step explanation:

Plug in to this formula

[tex]\frac{y2-y1}{x2-x1} \\\\\frac{8-5}{5-3} \\\\\frac{3}{2}[/tex]

Your slope is 3/2x

If you want to find the y-intercept just plug in one of the points into this..

( ) = 3/2( ) + b

Hope this helps ya!!

-10 + 4


plz heeeeeelp

Answers

Answer:

-6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

13 x 24 =
pleze go very fast or i mite fale

Answers

Answer:

312

Step-by-step explanation:

which equation repersent functions?

2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x​

Answers

Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Please answer this question it is for Math!

Answers

Answer:do you mean plotting a graph

Step-by-step explanation:

Please help I will give brainliest to first person who answers!

Answers

Answer:

71 degrees

It's the measure of angle 1.

Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip

Answers

48 (.75) = 36
48 -36 = 12 cookies or 25%

What is the slope of the line through (0,5) and (-2,-1)?

Answers

Answer:

c

Step-by-step explanation:

the slope is 3

Your answer is C

Rise over run. You rise 3 points to get to the other, and run over one. Hope this helps.

PLZ HELP ASAP 20 POINTS!! wrote an equation in slope-intercept (y=mx+b) form for each line.

Answers

Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨

Step-by-step explanation: hope it help you later on!

Answer:

Y= -4x + 3

Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)

I'll mark you brainiest if you give me the correct answer.​

Answers

Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.

Answers

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

At noon, the minute and the hour hands overlap. In how long will they overlap again?

Answers

Answer:

1 hour or 60 minutes later

1hr and 5mins later, when it’s 1:05pm because both minute and hour hands will be on 1.

& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21​

Answers

Answer:

a) 14/ 29

b) 4/11

Step-by-step explanation:

x = 5

What is the rate of change of y with respect to x for 25x - 4y = 50 ?

Answers

Answer:

25/4

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]

Where, slope = m

Thus,

[tex]25x - 4y = 50[/tex]

Add 25x to both sides of the equation

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

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what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

23p+1/4-1/4(8p+1)=5(4p-6)+10
What is p?

Answers

Answer:

p= -20

Step-by-step explanation:

23p+1/4-1/4(8p+1)=5(4p-6)+10

23p+1/4-2p-1/4=20p-30+10

21p=20p-20

p= -20

Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

whats 1/2 + 8 9/14 please help ASAP

Answers

Answer: 9 /17 as fraction 9.143 Simplify

Step-by-step explanation:

Answer:

9 1/7

The explanain of this is that 1/2 + 8 + 9 1/4  so...   1/2+9/14=?

7 1/4 + 9/14=16/14 and so... 16/14=8/7 then.. 8/7=1 1/7  then last thing   8 + 1 + 1/7=  9 1/7

The choir raised $700 last year. This year they hope to raise 25% more money. How much money do they hope to raise this year?

Answers

Answer:

$875

Step-by-step explanation:

take the 700 mulitple it by.25. you should get the answer 175. add 175 to 700 and you get your whole which is 875.

ms.kirklan is baking muffins.each batch of muffins use 3/4 of a pound of flour. How many batches of muffins can she bake with 5 pounds of flour

Answers

6 full batches.

Divide 5 by 3/4 (or .75 for a calculator)
You get 6.667
Round down
6

Good luck!

The number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

Given that, Ms.Kirklan is baking muffins. Each batch of muffins use 3/4 of a pound of flour.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

We need to find the number of muffins she can bake with 5 pounds of flour

Now, 5 ÷ 3/4

= 5 ÷ 0.75

= 6.6

≈ 7

Hence, the number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

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PLEASE HELP:(........thank you

Answers

Answer:

the answer is C

Step-by-step explanation:

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