Review the following information about vectors q and r.

q = ⟨–4, 1⟩

r = ⟨a, 3⟩

7(q + r) = ⟨–35, 28⟩

What is the value of a?

–31
–7
–5
–1

Answers

Answer 1

Answer:

D) -1

Step-by-step explanation:

got it right on edge :)

Review The Following Information About Vectors Q And R.q = 4, 1r = A, 37(q + R) = 35, 28What Is The Value
Answer 2

Vector addition is done by addition of the components

The value of a is -1

a = –1

Reason:

The given parameters are;

q = <-4, 1>

r = <a, 3>

7·(q + r) = <-35, 28>

Required:

The value of a

Solution;

By vector addition of the components of q, and r, we have;

q + r = <-4 + a, 1 + 3> = <-4 + a, 4>

q + r =  <(-4 + a),    4>

By plugging in the value of q + r from the above step, we have;

7·(q + r) = <7 ×(-4 + a), 7 × 4> distribution property

7·(q + r)  = <-35, 28> Given

Therefore, by comparison of components, we have;

7 ×(-4 + a) = -35

[tex]-4 + a = -\dfrac{35}{7} = -5[/tex]

a = -5 + 4 = -1

a = –1

The correct option for the value of a is –1

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Related Questions

Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.

a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.

b) Indicate on your table or graph where the amount of snow will be the same at both resorts.

Answers

Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

Ski Resort

[tex]Base\ Snow = 75in[/tex]

[tex]Rate = 1in[/tex] hourly

Mt. Winterpark

[tex]Base\ Snow = 68in[/tex]

[tex]Rate = 2in[/tex] hourly

First, we need to illustrate the amount of snow as an equation in both cases.

[tex]Amount = Base\ Snow + Rate * Time[/tex]

Let x be number of hours. and y be the amount of snow

So:

Ski Resort

[tex]y= 75 + 1* x[/tex]

[tex]y= 75 + x[/tex]

Mt. Winterpark

[tex]y= 68 + 2 * x[/tex]

[tex]y= 68 + 2x[/tex]

Next, we make a table to show the data.

When [tex]x = 0[/tex]

Ski Resort: [tex]y = 75 + 0 = 75[/tex]

Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]

When [tex]x = 1[/tex]

Ski Resort: [tex]y = 75 + 1 = 76[/tex]

Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]

When [tex]x = 2[/tex]

Ski Resort: [tex]y = 75 + 2 = 77[/tex]

Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]

When [tex]x = 3[/tex]

Ski Resort: [tex]y = 75 + 3 = 78[/tex]

Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]

When [tex]x = 4[/tex]

Ski Resort: [tex]y = 75 + 4 = 79[/tex]

Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]

When [tex]x = 5[/tex]

Ski Resort: [tex]y = 75 + 5 = 80[/tex]

Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]

When [tex]x = 6[/tex]

Ski Resort: [tex]y = 75 + 6 = 81[/tex]

Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]

When [tex]x = 7[/tex]

Ski Resort: [tex]y = 75 + 7 = 82[/tex]

Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]

When [tex]x = 8[/tex]

Ski Resort: [tex]y = 75 + 8 = 83[/tex]

Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]

When [tex]x = 9[/tex]

Ski Resort: [tex]y = 75 + 9 = 84[/tex]

Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]

When [tex]x = 10[/tex]

Ski Resort: [tex]y = 75 + 10 = 85[/tex]

Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches

Please help me

Solve the inequality.
12 - }>8-23

Answers

Answer:

Letter D

Step-by-step explanation:

D KO PO SURE SORRY PO KUNG MALI ✌

I think it’s D I’m not sure though

What is 3(2+q)+15 simplified

Answers

Answer:

The Answer should be....

3q + 21

what is greater 9/3, 2 3/4​

Answers

Answer:

9/3 is greater

Step-by-step explanation:

Convert it to decimals.

9/3=3

2 and 3/4= 2.75


If the 3rd term of a geometric series is
-3 and the sum of the 4th term and the 5th term is –6, find the 7th term of the series.

Answers

Answer:

-3or-48

Step-by-step explanation:

in this question you will get two equation which will used to find common ratio and first term and finally you will find 7th

expand 2 + 4 how do i do this

Answers

Answer:

6

Step-by-step explanation:

You could expand t to 1+1+1+1+1+1 which would give you 6.

Answer:

2+4=6

Step-by-step explanation:

LAST QUESTION PLEASE HELP FAST ILL GIVE MY LAST POINTS FOR CORRECT ANSWER

Answers

Answer:

70° and 20°

Step-by-step explanation:

trust me and mark me brainliest

Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8

Answers

Answer:

y-2=1/8(x+5)

Step-by-step explanation:

1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.

Since it's -8, the opposite of it is 1/8.

2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.

y-2=1/8(x+8)

And that's your answer

find the slope of the line please help!

Answers

Answer:

3/8 or .375

Step-by-step explanation:

Slope is always rise over run you rise 3 and run( to the left in this case ) 8 so your slope is 3/8

A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?

Answers

Answer:

$17.50

Step-by-step explanation:

2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50

5/2 equals 2.50 so 2.50x7 equals 17.50

I need help, please
it is do tomorrow

Answers

Answer:

8) 21 milliliters

i am not completly sure but it is NOT the whole

9) .4 & 40%

7) 9670 feet

10) a) $7200       b)350,000

Step-by-step explanation:

cuz 35% of 60 is 21

cuz 120/300 is .4 and if you take 300 * .4 it equals 120

Pete, Bryan, and Philip are cousins. Pete's age is one-third of Bryan and Philip is five years elder than Bryan. If the sum of the age of the cousins is 40, find the ages of each.

Answers

Answer: Philips age is 20. Bryans age is 15

Step-by-step explanation:

SOMEONE, PLEASE HELP LITERALLY STRUGGLING!!!!!!
Circle 1 represents students involved with drama after school, circle 2 represents students involved in sports, and circle 3 represents students in academic club activities. What can you conclude about students who fit in region B?

A.
Region B represents the students involved in sports only.
B.
Region B represents the students involved in sports and academic clubs.
C.
Region B represents the students involved in drama and sports.
D.
Region B represents the students not involved in academic clubs.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

i think it is A . hope it helps

I came across the function y^4=x^3+x^2. What is this function called and what are its uses? Answer: This is a singular algebraic curve
No answer needed, take the points.

Answers

Answer:

urheiejdjdjdbbdbdndndndd

Answer:

x32fffffff

Step-by-step explanation:

x3f222222222

A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?​

Answers

Answer:

y - 5 = 9 (x-4)

Step-by-step explanation:


What is the domain of the line in inequality form?
+
-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7
b
6SX <-3
-3 6 -3 Od

Answers

Answer:

vtgggfdfhufjdbbrhenrvrhthrjt

2x -3 = -7 please help

Answers

Answer:

2x - 3 = -7 (add 3 to both sides)

2x = -4 (divide each side by 2 to get x alone)

x = -2

what does 10+10 equal

Answers

Answer:

20 is the answer for the question

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Answers

Answer:

Your friend is correct.

Step-by-step explanation:

3 feet - 1 yard

36 / 12 = 3

Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. Type your answer as a number. Fractions should be expressed in lowest terms. What fraction of a mile can Student B run in one minute?

Answers

Answer:

student A- can run 2/3 mile in six minutes

1/9 mile/min

student B- can run 1/2 mile in 4 minutes

Speed=1/8 mile/min

student C- can run 4/5 mile in 8 minutes

speed=1/10 mile/min

Step-by-step explanation:

Solve for x enter the solution from least to greatest x2 - 11x + 18 =0

Answers

Answer:

x = 2 , 9

Step-by-step explanation:

[tex] {x}^{2} - 11x + 18 = 0[/tex]

[tex] = > {x}^{2} - 9x - 2x + 18 = 0[/tex]

[tex] = > x(x - 9) - 2(x - 9) = 0[/tex]

[tex] = > (x - 9)(x - 2) = 0[/tex]

Here x will have 2 solutions.

1) [tex]x - 9 = 0[/tex]

[tex] = > x = 9[/tex]

2)[tex]x - 2 = 0[/tex]

[tex] = > x = 2[/tex]

Hence the 2 solutions of x are +2 & +9

A package of self-sticking notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the sample space for the experiment.

Answers

Answer:

24

Step-by-step explanation:

becuse 6+6+6+6=24

Find the slope between (2, 5) and (7,3).

Answers

Answer:

-2/5

Step-by-step explanation:

y2-y1

--------      is -2/5 .  after . u plug the 2 pairs

x2-x1

Divide 64.5 by 0.015, leaving the answer in standard form

Answers

Answer:

4.3 *10^3

Step-by-step explanation:

WILL GIVE BRAINLYEST


Make an inequality in standard fom with two variables and explain a real world
Situation that may apply.
Explain how you would graph the inequality

Answers

Answer:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

Step-by-step explanation:

The graph shows the volume of water in a sink x minutes after the faucet is turned on.

Part A
What is the slope of the line?

Slope =

Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?

Connor is correct because the water is flowing in at a rate which is about 2 gallons per minute.

Connor is not correct because the water is flowing in at a rate which is faster than 2 gallons per minute.

Connor is not correct because the water is flowing in at a rate which is slower than 2 gallons per minute.

Connor is correct because the rate of water flowing is less than the slope.

Answers

Answer:

Step-by-step explanation:

think of this as distance over time. the distance the water flowed is 2 gallons over 2 min so every 2 min 2 gallons of water has flowed i hope this helped alittle bit

Answer:

2/4

Step-by-step explanation:

It is the answer.

Which number is bigger: 1.58 or 1.025

Answers

Answer:

1.58 is bigger than 1.025

Step-by-step explanation:

Answer:

1.58 is greater

Step-by-step explanation:

because just compare the digits...in once place both are having same no. but in tenths place they are different since 5 is greater than 0

What is the value of the expression (x+y) + 5 if x = 6 and y =4


Answers

Answer:

15

Step-by-step explanation:

the expression is (x+y)+5

Now, you need to plug in x=6 and y=4.

So, you have the expression, (6+4)+5

You then add the 6 and 4 since they are in parenthesis, which equals 10. Then you add the 5, which equals 15.

leo reads 14 pages in 1/3 hour what is the unir rate for pages per page

Answers

Answer:

3 cause it's 3 and 1 .

Step-by-step explanation:

njejekjwne jehwbwh whehwj

3 x ?
= -12

Please help

Answers

Answer:

-4

Step-by-step explanation:

Positive times a negative equals a negative.

3 × 4 = 12 so 3 × -4 = -12

Answer:

-4

Step-by-step explanation:

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