Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10

4. If v = -2i - 7j, then its magnitude is

||v|| = √((-2)² + (-7)²) = √53

and the unit vector in the direction of v is

[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]

5. Given u = i + 2j and v = -i + 5j, we have

u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)

Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to

u • v = -1 - 0 + 0 + 10 = 9

Answer:

$00.245

Step-by-step explanation:

.98/4=00.245

please mark brainliest

Answer:

#9 is 6 #10 is 1 #11 is 7 #12 is 6

Step-by-step explanation:

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Hey there!

[tex] \displaystyle \blue{\boxed{\green{\bold{v = 8}}}} [/tex]

[tex] \\ [/tex]

-5v + 6 = -12v + 62

[tex] \\ [/tex]

▪️Subtract 6 from both sides :

-5v + 6 - 6 = -12v + 62 - 6

-5v = -12v + 56

▪️Add 12v to each side :

-5v + 12v = -12v + 56 + 12v

7v = 56

▪️ Divide both sides by 7 :

7v / 7 = 56 / 7

v = 8

[tex] \\ [/tex]

Therefore, our answer is v = 8.

[tex] \\ [/tex]

▪️ Learn more about solving equations:

↣https://brainly.com/question/14700809

↣https://brainly.com/question/27597890

Answer:

v = 8

Step-by-step explanation:

Hello!

We can solve the equation by moving all terms of V to one side, and all integer values to the other.

The value of v is 8.

We can plug back 8 into the original to check our answer:

Since both sides match, the solution of v = 8 is correct.

Answer:

70

Step-by-step explanation:

Just do it backwards.

94 - 12 = 82.

82 + 6 = 88.

88 - 18 = 70.

Step-by-step explanation:

There is no diagram how can we answer

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]3x+2=14\\\\3x+2-2=14-2\\\\3x=12\\\\\displaystyle \frac{3x}{3}=\frac{12}{3}\\ \\ x=4[/tex]

Step-by-step explanation: answer: 108

270

[tex]270 \times \frac{60}{100} [/tex]

[tex]27 \times 6 = 162[/tex]

270=60%

60% =162

40% = not going

270 students - 60% 162= 108

→108 students are not going

Answer:

270 students - 60% 162= 108

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

Hey there!

x^2 – y

= 4^2 – 2

= 4 * 4 - 2

= 16 - 2

= 14

Therefore, the answer should be: 14

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

.0022

Step-by-step explanation:

Answer:

[tex]4649 \div 39 = 119.205128295[/tex]

Step-by-step explanation:

I hope it's help u

Answer:

119 R 8

Step-by-step explanation:

convert 4649 to tens place, write 1

46 - 39 = 7

drop the 4 in the tens place, write 1

74 - 39 = 35

drop the 9 in the ones place, write 9

359 - 351 = 8

• For each time we got 39 or another number, we wrote the multiple of that number we used to get the result.

• We got the remainder by the general subtraction.

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

The function is given as:

y = (x +3)(x - 2)

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

y = (2 +3)(2 - 2)

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

Read more about quadratic functions at:

https://brainly.com/question/1497716

#SPJ1

Answer:

65º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180- 44 - 71 = 180 - 115 = 65º

Answer:

the slope is [tex]\frac{10}{21}[/tex]

Step-by-step explanation:

slope formula for linear equations:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex]  [tex]= \frac{10}{21}[/tex]

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

Answer:

D. 293

Step-by-step explanation:

He delivers 38 papers each day of the week except sunday, so six days a week

38 x 6 = 228

228 + the 65 he delivers on sunday = 293 papers a week

Answer:

600 inches or 50 feet

Step-by-step explanation:

Scale factor = model car : actual car = 1 : 300

We have a 2 inch model car.

Answer:

Morgan is incorrect because 24 1/2- 22 3/4=1 3/4

Step-by-step explanation:

24 ¹/²- 22 ³/⁴=1 ³/⁴

Equation to show the proportional relationship between the regular price, r, of an item and its sale price, s is 10s -7r=0.

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time, typically to spur sales during a slow period or to sell off excess inventory.

Let the regular price be r and sale price be 's'

Since price of every item reduced by 30%.

So, sale price will be

[tex]s= r- 30% of r[/tex]% of r

[tex]s= r- \frac{30}{100} *r[/tex]

s= r - 0.3 r

s= 0.7 r

s-0.7r=0

or, 10s -7r=0

Thus, equation shows the proportional relationship between the regular price, r, of an item and its sale price, s :10s -7r=0

Learn more about sale price here:

https://brainly.com/question/11538223

#SPJ1

Answer:

38400/=

Step-by-step explanation:

8(p-1500)=8p-12000

2(p+1000)= 2p+2000

8p-12000+2p+2000=53000

10p-10000=53000

10p=53000+10000

10p=63000

p=6300/=

8 books=8(6300-1500)

=38400/=

Answer:

32

Step-by-step explanation:

7×18+2×18=32

x=14

y=18

Have a great day!

Answer: 33 integers

Step-by-step explanation:

The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.

I hope this helps!

Hey there!

EQUATION:

6ac^2

ASSUMING:

= 6(2)(3)^2

SOLVING:

= 6(2)(3^2)

= 12(3^2)

= 12(3 * 3)

= 12(9)

= 108

Therefore, the answer should be: 108

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer:

408.40704

Step-by-step explanation:

Answer:

a) 20

Step-by-step explanation:

90 - 46 = 44

44 - 4 = 40

40/2 = 20

Answer:

D (8, 11, 13, 13,17,20,23)

Step-by-step explanation:

I did this and got it correct.