Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.

Answer:

[tex]x + 1 + x + 3 = 180[/tex]

by vertically opposite angle theorem

[tex]x + x + 1 + 3 = 180[/tex]

[tex]2x + 4 = 180[/tex]

[tex]2x = 180 - 4 = 176[/tex]

[tex]x = \frac{176}{2} [/tex]

[tex]x = 88[/tex]

have a nice day

Answer:

(x - 1)(3x + 2)

Step-by-step explanation:

By the Remainder theorem

Given expression is divisible by x - 1 then f(1) = 0

when divided by (x + 1) then f(- 1) = 2

when divided by x - 2 then f(2) = 8

Substitute x = 1, x = - 1, x = 2 into the expression , that is

a + b + c = 0 → (1)

a - b + c = 2 → (2)

4a + 2b + c = 8 → (3)

Subtract (1) from (2) to eliminate a and c

- 2b = 2 ( divide both sides by - 2 )

b = - 1

Subtract (1) from (3) to eliminate c

3a + b = 8 ← substitute b = - 1

3a - 1 = 8 ( add 1 to both sides )

3a = 9 ( divide both sides by 3 )

a = 3

Substitute a = 3, b = - 1 into (1) and evaluate for c

3 - 1 + c = 0

2 + c = 0 ( subtract 2 from both sides )

c = - 2

Then a = 3, b = - 1, c = - 2

Thus

ax² + bx + c

= 3x² - x - 2

= (x - 1)(3x + 2) ← in factored form

3x = 9.2 ⇒ x = 2.02000606

Answer:

X=2.02

Step-by-step explanation:

Answer:

the first one

f(x) = x²

its making me write more

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Answer:c=2 √1129 or c=−2 √1129

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

c^2=4516

Step 2: Take square root.

c=±√4516

c=2√1129 or c=−2√1129

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

Answer:

15

Step-by-step explanation:

Answer:

35.1

Step-by-step explanation:

6.75x5.2=35.1

Answer:

16

Step-by-step explanation:

If the store sells 2 printers for every 5 computers

40/5 is 8. this means there are 8 sets of 5 computers

8x2 is 16 since for every 5computers, 2 printers are sold

Answer:

B.

Hope that helps!

Step-by-step explanation:

Answer:

B. Sometimes

Step-by-step explanation:

Hope this helps!

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

Answer:3(3+5m)

Step-by-step explanation:

Answer:

To solve 5n = 50, I would use the property of division.

To solve n/4 = 16, I would use the property of multiplication.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.

Answer:

hey i think its $16,819 i'm so sorry if i get it wrong

Step-by-step explanation:

Answer:

The answer is b =9

Step-by-step explanation:

20:12=15:b

5:3=15:b

cross multiply

5×b=3×15

5b=45

divide both sides by 5

b=45÷5

b=9

Answer:

none!

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Explanation: I searched up "what don't polynomials have"

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

Step-by-step explanation:

Let f(x)=y

y=2x/X-5

y(x-5)=2x

xy-5y=2x

x(y-2)=5y

x=5y/y-2

Apply x=5y/y-2, on f(x)

f(5y/y-2)=2(5y/y-2)/[(5y/y-2)-5]

=(10y/y-2)/[(5y-5y+10)/y-2]

=10y/10

=y

So f^-1(x)=5y/y-2

Answer:

2.7

Step-by-step explanation:

Let the number alex think be x

Answer = 22.7

According to the question,

x + 20 = 22.7

x = 22.7 - 20

x = 2.7

Therefore, his original number is 2.7

Plz mark me as brainliest

Have a great day

Answer:

b acute I think so ok but that was a weird quistoin

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

Answer:

First one is 36 and second one is 324!!!

Answer:

3.162

Step-by-step explanation:

√10 = 3.162

Answer:

Step-by-step explanation:

I hope I can use a calculator and not use logs or a type of long division!

√10 = 3.16227

The hundredth place is the 6. The next place is a 2 which does not have any effect on the 6.

Answer: 3.16

Answer:

16.5 feet or

about 17 feet long.

Step-by-step explanation:

A = bh

Squares have equal side lengths all around so with there being 4 sides, you will take 66 and divide by 4.

66 ÷ 4 = 16.5

So it is about 17 feet