which expression is equivalent to (x+2)(x+6)?
1.x^2+12x+32
2.2x^2+10x+12
3.2^2+12x+16
x^2+8x+12​

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

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Answer:

11) 60°

12) 50°

13) 50°

14) 50°    (i suspect you want ∠FED instead, which is 102°)(NOT a repeat of ∠FDE)

Step-by-step explanation:

Step-by-step explanation:

in 24 hours they will drink 32.7 cups

in 18 hours they will drink 24.3

32.7+24.3=56.7

Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12

Answer:

264 canned drinks

Step-by-step explanation:

Let

canned drinks in stock initially = x

Canned drinks sold out = 1/2 of x

= 1/2x

Canned drinks remaining in stock = x - 1/2x

= 1/2x

New restock = 68 canned drinks

Total drinks in stock presently = Canned drinks remaining in stock + New restock

200 = 1/2x + 68

200 - 68 = 1/2x

132 = 1/2x

x = 132 ÷ 1/2

= 132 × 2/1

x = 264 canned drinks

canned drinks in stock initially = x = 264 canned drinks

Step-by-step explanation:

x is the hypothnes so u can done by trigonometric formula

c2=a2+b2

×2=6square +8square

x2=36+64

x=square root of 100

x=10(sorry my phone hasn't square)

Answer:

x = 10

Step-by-step explanation:

One can assume that the line drawn down the middle splits the triangle into two congruent portions, thus it is an angle bisector, altitude, and median. This forms two congruent right triangles. Therefore, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs or the sies next to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, remember that a median splits the base in half,

[tex](8)^2+(6)^2=c^2\\\\64 + 36 = c^2\\\\100 = c^2\\\\10 = c[/tex]

Answer:

944

Step-by-step explanation:

Answer:

12 gallons

Step-by-step explanation:

Total gallons = 16 gallons

Total distance = 460 miles

Fuel efficiency in the highway = 30 miles per gallon

Fuel efficiency in the city = 25 miles per gallon

Let

h = gallons of gasoline were used on the highway.

460 = 30h + 25(16 - h)

460 = 30h + 400 - 25h

460 - 400 = 30h - 25h

60 = 5h

h = 60/5

h = 12 gallons

12 gallons of gasoline were used on the highway.

Answer:

(2)

Step-by-step explanation:

mean: (13+15+17+17+17+20+27)/7=18

median: 17

mode: 17

Answer:

k = 55

Step-by-step explanation:

First clear the fraction by multiplying all three terms by 5.  We get:

k - 10 = 45

Adding 10 to both sides results in

k = 55          (after having combined like terms)

Answer:

( -2, 12)

(-1, 9)

(0, 6)

(1 , 3)

(2, 0)

Step-by-step explanation:

Input the values into the equation

Answer:

8

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

By using exterior angle theorem, we know that 31+angle 1 =150. therefore angle 1=119. Exterior angle theorem is where an angle exterior of an angle in the triangle addus up to 180 degreees, we also know the angles in a triangle sum to 180 degrees. Both sides have a common angle. If we subract it from the equation, we get what is said above.

Answer:

The length of the resulting line is 20 units

and for the second one it would be preserve

Step-by-step explanation:

Hope this helps :)

Answer:

252

Step-by-step explanation:

t50 = t1 + (n - 1)(d)

= 7 + (50 - 1) (5)

= 7 + (49)(5)

= 7 + 245

= 252

Answer:

The 50ᵗʰ term of this sequence is 252

Step-by-step explanation:

Here,

First Term = a₁ = 7

Common Difference = (d) = 5

Now, For 50ᵗʰ term, n = 50

aₙ = a + (n - 1)d

a₅₀ = 7 + (50 - 1) × 5

a₅₀ = 7 + 49 × 5

a₅₀ = 7 + 245

a₅₀ = 252

Thus, The 50ᵗʰ term of this sequence is 252

-TheUnknownScientist

Answer:C 12hours

Step-by-step explanation:

Answer:

The value of b is 3

Step-by-step explanation:

mx is the slope and b is the y intercept. I hope this helps!

The value of the intercept of the given line is 3.

We have given that,

A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3.

[tex]y=m x+b[/tex]

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

mx is the slope and b is the y-intercept.

The value of the intercept of the given line is 3.

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Answer:

half of 5 is 2.5

2.5 x 3.14 x 2 = 15.7 cm

Formula of circumference:

2(you just always need this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use) x r(radius, half of your diameter or given radius).

Answer:

15.7

Step-by-step explanation:

circumference = 2 x 3.14 x r ---? 2 x 3.14 x 2.5 = 15.7

Select the following expressions. I will just list the letter choice:

A, C, D

Answer:

Go two back away from -5

Step-by-step explanation:

I don't know how to explain this but like start at -5 and then go back two?

Or start at -10 and go forward 3

hope it helps :)

Answer:

B: 72

Step-by-step explanation:

Here, we want to find the measure of arc AC

Mathematically, we will use an angle arc relationship here

The angle arc relationship to use here is that the arc AC is twice the measure of angle ABC

Thus, we have the arc AC as 2 * 36 = 72 degrees

Step-by-step explanation:

please can you show me a picture of this parallelogram

Answer:

No, it's not a one to one function

Step-by-step explanation:

In one to one function, the function is either increasing or decreasing. Also, in this type of function, the same values can not be assigned to two different domain elements.

In this case, distance from city C and City E are both 1195 miles from city M.

Thus defaults the law of one to one function.

Therefore it's not one to one function.

Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

Answer:

8 MILES

Step-by-step explanation:

Taxi A =  $10 + 2 (8)

               $10 + 16 = 26

__________________________

Taxi C = $2 + 3 (8)

              $2 + 24 = 26

__________________________

After 8 miles both taxi cabs will cost the same.

Answer:

Step-by-step explanation:

Let the required number of miles is x.

Solve below equation and find the value of x: