Help me with this math problem please:):)

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:

( -2, 12)

(-1, 9)

(0, 6)

(1 , 3)

(2, 0)

Step-by-step explanation:

Input the values into the equation

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:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

Separate it into 2 parts:

The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.

7 x 6 = 42 in^2

The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.

11 x 6 = 66 in^2

Total:

66 + 42 = 108 in^2

Answer:

108 [tex]in ^2[/tex]

Step-by-step explanation:

This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).

Starting with the top-right rectangle:

We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:

[tex]l=12-6=6[/tex] in

Now that we know l and h, we can evaluate the area of the first rectangle, which is

[tex]A= 6 *4= 24[/tex] in^2

Now for the bottom rectangle:

We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:

[tex]A=12*7=84[/tex] in^2

Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,

[tex]A=24+84=108[/tex] in^2

QED

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:

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:

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:

A and B: slope = 0

S and T: slope = undefined    

Step-by-step explanation:

To find the slope of the line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points into that formula and simplify.

1) Let's try this with the first problem. Substitute the x and y values of (4,5) and (-3,5) into the formula, then solve:

[tex]m = \frac{(5)-(5)}{(-3)-(4)}\\m = \frac{5-5}{-3-4} \\m = \frac{0}{-7} \\m = 0[/tex]

So, the slope of the line between A and B is 0.

2) Do the same with the second problem, substituting the x and y values of (3,-6) and (3,-9):

[tex]m = \frac{(-9)-(-6)}{(3)-(3)} \\m = \frac{-9+6}{3-3} \\m = \frac{-3}{0} \\[/tex]

However, we can't divide by zero. So, the slope between points S and T must be undefined.

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

A, C, D

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:

Outlier: Value that is extremely to the right or the left due to an external cause

For math: 1 is the outlier

Answer:

I am not 100% but I believe they are 1 and 6 if there are 2 answer options

Step-by-step explanation:

Answer:

f(x) = (x - 6)^2 -2

vertex lies at (6, -2)

Step-by-step explanation:

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

Answer:

1) yes

2) no

3) yes

4)no

5)no

Step-by-step explanation:

Answer:

(2)

Step-by-step explanation:

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

median: 17

mode: 17

Answer:

£14579.76

Step-by-step explanation:

First do 16855.21 * .135 =  2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76

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

Step-by-step explanation:

we know this is not equilateral and right because not equal in size and two side square is not equal to hypotenuse the ans is a or b

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:

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:

Answer:

8

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

Answer:

the answer is b on plato

Step-by-step explanation

:

The age of the male sea turtle will be 215 years old.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

You meet two talking sea turtles. The sum of their ages is 388. The male turtle is 42 years older than the female.

Let x be the age of a male and y be the age of a female. Then the equations will be

x + y = 388       ...1

x = y + 42         ...2

From equations 1 and 2, then we have

y + 42 + y = 388

2y = 346

y = 173 years old

Then the value of x will be

x = 173 + 42

x = 215 years old

The age of the male sea turtle will be 215 years old.

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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:

944

Step-by-step explanation: