[7,8] is the difference between

2 vectors with components [a, 5] and

(-4,-3). What is a

Answers

Answer 1

Answer:

The value of [tex]a[/tex] is 3.

Step-by-step explanation:

Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:

[tex]\vec c = \vec b - \vec a[/tex]

[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]

[tex]\vec c = \langle a+4,8 \rangle[/tex]

If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:

[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]

In which,

[tex]a + 4 = 7[/tex]

[tex]a = 3[/tex]

The value of [tex]a[/tex] is 3.


Related Questions

• She used a coupon for $3.00 off the total price of the items she
This expression can be used to determine the price of the items Nakit
(2(3.50 -0.80) + 4.85 + 2.40) – 3.00
What is the price of the items Nakita bought?
A $6.95
B $10.45
C $9.65
D $12.65

Answers

The answer is c 9.65

what is 360 x 4500 plsssssssssssssssss help

Answers

Answer:

1,620,000

Step-by-step explanation:

360×4500

=1,620,000

is the answer

Hey there!

[tex]Answer:\boxed{1,620,000}[/tex]

[tex]Explanation:[/tex]

[tex]360*4500[/tex]

Let's multiply to get our answer.

[tex]360*4500=1,620,000[/tex]

[tex]1,620,000[/tex]

Hope this helps!

An unbiased sample is one in which every member of the group has an equal chance of being chosen.
True
False

Answers

This is true, because everyone has a fair chance
True, biased is pushing towards one side

For which values of a the system has at least one solution: 1.x≤7 ,x≥a

Answers

Given:

The system of inequalities

[tex]x\leq 7[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has at least one solution.

Solution:

We have,

[tex]x\leq 7[/tex]     ...(i)

It means all real values of x which are less than or equal to 0.

[tex]x\geq a[/tex]       ...(ii)

It means all real values of x which are greater than or equal to a.

Using (i) and (ii), we get

[tex]a\leq x\leq 7[/tex]

The value of x is lies in the interval [a,7].

It means, if the value of a is less than or equal to 7, then system has at least one solution.

But if a is more than 7, then the system of inequalities have to solution.

Therefore, the value of a must be less than or equal to 7.

Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?

Answers

Answer:

$100+$20=$120

tristan bought an orange that weighs 1 8th of a pound

Answers

Answer

Tristan bought an orange that weighs 1 8th of a pound. 1. See answer. Add answer. Log in to add comment.

Order the numbers from least to greatest.
1.3 ,-2, 1.8 , 0, -1.75

Answers

Answer:

-2 , -1.75 , 0 ,1.3 , 1.8

Step-by-step explanation:

[tex]1.3 ,\:-2,\: 1.8 , \:0,\: -1.75[/tex] =

[tex]-2 , -1.75 \:, 0\: ,1.3 \:, 1.8[/tex]

A negative number is a always smaller than a positive number.

The smallest negative number among the given set of data is ; -2.

The largest positive number is 1.8

which systems of equations have no Solutions ​

Answers

When both sides don’t equal each other

Brainliest?

Answer:

Inconsistent System of Equations

Explanation:

There is no solution for the system of equations that graphs as parallel lines.

Parallel lines never cross, therefore there is no intersection. This is an inconsistent system of equations.

Determine whether the given segments have the same length. Complete the justification of your answer,

AB and BC


The length of AB is

length

The length of BC is /

.So, AB and BC (select)

the same length

Answers

Answer:

No does not contain the same length

Step-by-step explanation:

Given that

A(-4,2) , B (1,4), C (2, -1)

Now

AB would be

= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]

And, BC is

[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]

As we can see that the AB and BC are not equaled

So,

AB ≠ BC

Due to the different length

Therefore they do not contains the same length

We simply applied the distance formula due to which the length could be determined and the same is to be considered

PLEASEPLEASEHELP i need

Answers

Answer:

B

Step-by-step explanation:

hope you get the best grade

Answer these questions please

Answers

Step-by-step explanation:

hope This helps for you

Answer:

Step-by-step explanation:

Common factors are the number's , variables found in each of the terms

1) 21x²y = 3 * 7 * x * x * y

  35xy² = 5 * 7 * x    *  y * y

Common factor = 7 * x * y

                          = 7xy

Answer :(iii) 7xy

2)a² - b² = (a + b)(a - b)

1 - x² = (1 - x) (1 +x)

(ii)

3) x³ - x = x(x² - 1)

            = x(x + 1)(x - 1)

Answer: (iv)

4) 225 =  15 * 15 = 15²

x³ - 225x = x(x² - 225)

                = x(x² - 15²)            {a² - b² =(a + b)(a - b)}

                = x(x + 15)(x - 15)

Answer: (ii)

5) 12a²b = 3 * 4 * a * a * b

   15ab² = 3 * 5 * a *     b * b

Common factor = 3 * a * b = 3ab

12a²b + 15ab² = 3*4*a²*b +  3*5*a*b²

                      = 3ab (4a + 5b)

Answer:(ii)

how to combine two integers​

Answers

The simplest approach to do this is:

Convert both numbers to string

Concatenate both strings into one, as this is comparatively easy

Convert this concatenated string back to integer

Step-by-step explanation:

Given two integers n1 and n2, the task is to concatenate these two integers into one integer.

Example:

Input: n1 = 12, n2 = 34

Output: 1234

Input: n1 = 1, n2 = 93

Output: 193

On a test, Avery lost 5
points for each of the 6
questions she got wrong
but earned 10 points for
answering the bonus
question correctly. What
integer represents her
score in relation to a
perfect score of 100?

Answers

Answer:

bruhhhhhhhhhhhhhhhhhhhhhhhhhh

Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set

Answers

Answer:

y < x - 2

y ≥ 2x + 5

Step-by-step explanation:

For the equation of the dotted line,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the dotted lines passes through the points (-7, -9) and (2, 0)

Slope = [tex]\frac{-9-0}{-7-2}[/tex]

    [tex]m_1[/tex] = 1

Therefore, equation of the line passing through (2, 0) and slope = 1 will be,

y - y' = m₁(x - x')

y - 0 = 1(x - 2)

y = x - 2

Since, shaded area is below the dotted line,

y < x - 2 will be the inequality.

Slope of the solid line passing through (-7, -9) and (0, 5) is,

[tex]m_2=\frac{-9-5}{-7-0}[/tex]

     = 2

Therefore, equation of the line passing through (0, 5) and slope = 2 will be,

y - 5 = 2(x - 0)

y = 2x + 5

Since, the given line is a solid line and shaded area is above the line,

y ≥ 2x + 5 will be the inequality.

Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.

Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.

Answers

Answer:

Step-by-step explanation:

Yep!

Convert 2.42 to percent

Answers

Answer:

242%

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.

200+40+2=242%

If it was helpful, could you plz consider giving me brainliest?

Please help!!!!!!!!!!!!!

Answers

Answer:

r=8

Step-by-step explanation:

r*4=32

32/4=8

Therefore, r=8

Answer:

r = 8

Step-by-step explanation:

Ok don't worry. This question is not as hard as it should be.

It states it's a balanced equation. So that means 32 is equal to the other side.

there are 4 r's on the other side

32=4r

Divide 4 on both sides so the variable is independent

32/4=4r/4

8=r

Hope this helps!

Find the distance between the two points (5, -3) and (2, 5). Simplify your answer, and write the exact answer in simplest radical form for an irrational answer.

Answers

Answer:

(3.5, 1)

Step-by-step explanation:

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week? StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h + 60) = StartFraction 1 Over 10 EndFraction(10h) StartFraction 1 Over 15 EndFraction(10h + 60h) = StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h) StartFraction 1 Over 15 EndFractionh(10 + 60) = StartFraction 1 Over 15 EndFraction h left-parenthesis 10 plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction h left-parenthesis 10 right-parenthesish(10) StartFraction 1 Over 15 EndFraction left-parenthesis 10 plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10 + 60h) = StartFraction 1 Over 10 EndFraction(10h)

Answers

Answer:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

_____

Comment on the form of the answer

If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.

Answer:

A

Step-by-step explanation:

edge 23

Suppose PR = 54, solve for QR
4x-1
3x-1
P
R

Answers

Answer:

[tex] QR = 23 [/tex]

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

[tex] PQ = 4x - 1 [/tex]

[tex] QR = 3x - 1 [/tex]

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

[tex] PQ + QR = PR [/tex]

[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)

Solve for x

[tex] 4x - 1 + 3x - 1 = 54 [/tex]

Combine like terms

[tex] 4x + 3x - 1 - 1 = 54 [/tex]

[tex] 7x - 2 = 54 [/tex]

Add 2 to both sides

[tex] 7x - 2 + 2 = 54 + 2 [/tex]

[tex] 7x = 56 [/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{56}{7} [/tex]

[tex] x = 8 [/tex]

[tex] QR = 3x - 1 [/tex]

Plug in the value of x into the equation

[tex] QR = 3(8) - 1 = 24 - 1 [/tex]

[tex] QR = 23 [/tex]

34=9r-11
help plzzzzzzzzzzzzz hurry

Answers

Answer:

5

Step-by-step explanation:

Swap sides so that all variable terms are on the left hand side.

9r−11=34

Add 11 to both sides.

9r=34+11

Add 34 and 11 to get 45.

9r=45

Divide both sides by 9.

r= 45/9

Divide 45 by 9 to get 5.

r=5

The answer is 5
Move -12 to the left and add it to 34 which gets 45
Divide 9 from 45 and you get 5

Can somebody help and crAck the code this is 100 points if you get it right your are gonna be the brainliest

Answers

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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solve. 20 x 10⁵ = what i only have 5 minutes to answer this

Answers

Answer:

2000000

Step-by-step explanation:

20 x 100,000

Answer:

2000000 or 2×10^6

Step-by-step explanation:

[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]

find the value of each variable. write your answers in simplest radical form

Answers

Answer:

y=3.364

x=4

Step-by-step explanation:

hope this helps

Look at the table showing different prices for oranges.

Prices for Oranges
Price A
Price B
Price C
$2.25 for 6
$1.30 for 4
$0.97 for 2

Which gives the prices in order, from least to greatest unit rate?
Price B, Price A, Price C
Price C, Price B, Price A
Price C, Price A, Price B
Price B, Price C, Price A

Answers

nswer:

1st Option is correct that is Price B , Price A , Price C

Step-by-step explanation:

0.33 < 038 < 0.49  ⇒ Price B < Price A < Price C  

Approximately, it's going least to greatest

 

2.25/6=0.33

1.30/4= 0.38

0.97/2 = 0.49  ALL ROUNDED

Answer:

its the first one

Step-by-step explanation:

hope that helps

60 divided (6 1/7 - 1/7) x 4

Answers

40 according to google calculator

I WILL MARK BRAINLIEST!!!

What is 178.80 as a fraction?

Answers

Answer: 178 4/5 or as an improper fraction 894/5

Hope this helps!

Please mark Brainliest!

Answer:

178.80 = 178 + 0.8 = 178 + 8/10
178 8/10 = 178 4/5 or 895/5

Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. Explain how you know.

Answers

Answer:

2

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

Determine the largest integer value of x in the solution of the following inequality. -3x +1> 7

Answers

Answer:

x<1/3

Step-by-step explanation:

odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21

Answers

Step-by-step explanation:

Odds against = failures / successes

Probability = successes / (successes + failures)

0.21 = cats / (cats + no cats)

1 / 0.21 = (cats + no cats) / cats

4.76 = 1 + (no cats / cats)

3.76 = no cats / cats

So the odds against are 3.76 to 1.  

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