vectors
p=(4,3) and q=(-2,7), find 4p -2q​

Answers

Answer 1

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)


Related Questions

Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect

Answers

Answer: [tex]n>1[/tex]

Step-by-step explanation:

Given

The product of 4 times n is greater than 4 i.e.

[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]

It can be said that the value of n must be greater than 1.

You move right 2 units and down 7 units. You end at (8, 2). Where did you start?

Answers

Answer:

(10,9)

Step-by-step explanation:

Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:

Answers

Answer:

1. A wingsuit pilot is not in freefall.

2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.

Step-by-step explanation:

1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.

2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.

Please please help please please help me with this question please

Answers

Answer:

U just need to guess it does not have to be exact just say like 200 bricks and u will get it right.

What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2

Answers

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese

Answers

Answer:

48 1/4 packages

Step-by-step explanation:

A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20

Answers

Complete Question

A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.

Answer:

he Area of the rug is greater than  but less than [tex]441ft[/tex]

Step-by-step explanation:

From the question we are told that:

Perimeter [tex]P=60ft[/tex]

Value Range:Between 10-20

Generally the Area of the rug is greater than for values of X and Y greater than 9

Therefore Area is greater than from whole number 9

Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by

[tex]A_l=X*Y[/tex]

Where

[tex]X=9\\Y=9[/tex]

Therefore

[tex]A_l=X*Y[/tex]

[tex]A_l=9*9[/tex]

[tex]A_l=81ft[/tex]

Generally the Area of the rug is less than for values of X and Y less than 21

Therefore Area is less than from whole number 21

Generally the equation for Area greater than A_l is mathematically given by

[tex]A_g=X*Y[/tex]

Where

[tex]X=21\\Y=21[/tex]

Therefore

[tex]A_g=X*Y[/tex]

[tex]A_g=21*21[/tex]

[tex]A_g=441ft[/tex]

How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?

Answers

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.

Answers

answer:
D. the equation has infinitely many solutions
step-by-step explanation:
-9(x + 3) + 12 = -3(2x + 5) - 3x
-9x - 27 + 12 = -6x - 15 - 3x
-9x - 15 = -15 - 9x
+15 +15
-9x = -9x
the equation has infinitely many solutions

Find the value of x in the figure shown.

Answers

Answer:

x= 17

Step-by-step explanation:

Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.

90 - 39= 51

since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.

A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?

a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft

Answers

a.) 24 ft

Explanation:
The formula for the volume of a rectangular prism is length x width x height.

To find the missing width, follow this formula:
Volume divided by ( heigth x length)

In this case, it will be:
16,320 divided by ( 8 x 85 ) = 24

MARK ME BRAINLIEST TYSM! Have a nice day/evening!

Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.



How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?

Answers

The areas of the parallelogram CDEF and triangle EBF can be calculated

from which the difference between the areas can be found.

Response:

The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².

Which methods can be used to evaluate the areas of the regular shapes?

Area of the  parallelogram CDEF = CF × EB

Which gives;

Area of the  parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²

Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB

Which gives;

Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²

The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]

Which gives;

ΔA = 609 cm² - 115.5 cm² = 493.5 cm²

The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BF

The correct option is C. 493.5 cm²

Learn more about the area of regular shapes here:

https://brainly.com/question/10572314

Find the area and round it to the nearest hundredth if necessary

Answers

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

Super Salad Dressing is made with 8\text{ mL}8 mL8, start text, space, m, L, end text of oil for every 3\text{ mL}3 mL3, start text, space, m, L, end text of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
80\text{ mL}80 mL80, start text, space, m, L, end text of oil with 30\text { mL}30 mL30, start text, space, m, L, end text of vinegar

(Choice B)
B
3\text{ mL}3 mL3, start text, space, m, L, end text of oil with 8\text { mL}8 mL8, start text, space, m, L, end text of vinegar

(Choice C)
C
56\text{ mL}56 mL56, start text, space, m, L, end text of oil with 21\text { mL}21 mL21, start text, space, m, L, end text of vinegar

(Choice D)
D
40\text{ mL}40 mL40, start text, space, m, L, end text of oil with 25\text { mL}25 mL25, start text, space, m, L, end text of vinegar

(Choice E)
E
48\text{ mL}48 mL48, start text, space, m, L, end text of oil with 18\text { mL}18 mL18, start text, space, m, L, end text of vinegar

Answers

Answer: A, C, and E! I just took this on Khan Academy! Please mark me brainliest because it it correct!

How do I solve this?

Answers

13x + 3x + 2x = 180°

=> 18x = 180°

=> x = 180°/18

=> x = 10°

Ec is a diameter solve for x well i really dont know

What is the domain and Range of the piecewise function?


A. All real numbers


B. X<0, X>4


C. -inf < x < -2, 0< x<4, x>4

Answers

Answer:

option A all real numbers

Step-by-step explanation:

domain is the all possible "X" values

and X has all real values

All the real numbers of X are domain and range of piecewise function .

What is piecewise function?

A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.

Graph

Domain: The domain of a piecewise-defined function is the union of its subdomains.

Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.

Now,

Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .

Thus  the domain and range of piecewise function is all real numbers .

Know more about piecewise function,

https://brainly.com/question/28225662

#SPJ2

ahhhh someone help pls!!!!

Answers

Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104​

Answers

Answer:

144

Step-by-step explanation:

The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144

Which expression is equivalent to 16x4 – 64? and explain the answer plzz​

Answers

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?

Answers

Answer:

She ate 2 pounds

Step-by-step explanation:

(how do you eat 2 pounds of strawberries like what)

She ate 2 pounds! Because 2/3 is 2! Dang see that quick math!! I’m a boss

Plsss help I will mark brainlist plsss help fast

Answers

Answer:

C.

Step-by-step explanation:

The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.

Which of the following rational functions is graphed below?

Answers

the answer is

C.IN MY OPINION

HOPE IT HELPED

The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?

Answers

Answer:20.7 ft

Step-by-step explanation:

4 + 8x = -12
what is X?

Answers

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4       -4

8x = -16

/8      /8

x   =   -2

Answer:

X=(-2)

Step-by-step explanation:

8(-2)=(-16)

so -16+4=(-12)

Solve for x. Rolind to the nearest hundredth.

Answers

Your answer is A) 4.41

cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41

how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8

have a great day!♡​

Answers

Answer:

I don't know what prism. once you see this put it in the description of this

Step-by-step explanation:

There is no prism lol

Please help me with this question

Answers

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Find the MEAN, MODE, MEDIAN, and RANGE for the following Data: 6, 8,4, 1,4,7

Answers

Answer:

Mean:5

Mode: 4

Range: 7

Median: 5

Step-by-step explanation:

I need this pleaseeee

Answers

Answer:

2(√17b³ )c⁵

Step-by-step explanation:

We are to simplify the expression given below

√68b³c¹⁰

Simplifying 68

= √(17 × 4)b³c¹⁰

Hence

= 2√17b³c¹⁰

= 2 √17b³ × √c¹⁰

= 2 √17b³ × c¹⁰/²

= 2(√17b³ )c⁵

2. What is the solution to the equation..
5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3

Answers

Answer:

J. 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−(m+4)=2

Step 1: Simplify both sides of the equation.

5m−(m+4)=2

5m+−1(m+4)=2(Distribute the Negative Sign)

5m+−1m+(−1)(4)=2

5m+−m+−4=2

(5m+−m)+(−4)=2(Combine Like Terms)

4m+−4=2

4m−4=2

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