Write an equation that represents the line.
Use exact numbers.

answer:

11x

step-by-step explanation:

x + 4x + 6x

= 11x

Answer:

11x

Step-by-step explanation:

just add them all together

x + 4x = 5x

5x + 6x = 11x

hope this helps :)

Answer:

rational

Step-by-step explanation:

if it does not terminate nor become periotic it is irrational other wise it is rational

Answer:

Ans = 76

Step-by-step explanation:

10y + [tex]x^{2}[/tex]

=> 10 * 4 + [tex]6^{2}[/tex]

=> 40 + 36

=> 76

Hope it helps :)

Answer: 50 inches

Step-by-step explanation:

Answer:

AB = [tex]\frac{108}{7}[/tex]

Step-by-step explanation:

Δ ALM and Δ ACB are similar, then the ratios of corresponding sides are equal, that is

[tex]\frac{AM}{AB}[/tex] = [tex]\frac{AL}{AC}[/tex] , substitute values

[tex]\frac{12}{AB}[/tex] = [tex]\frac{14}{18}[/tex] = [tex]\frac{7}{9}[/tex] ( cross- multiply )

7AB = 108 ( divide both sides by 7 )

AB = [tex]\frac{108}{7}[/tex] ( = 15 [tex]\frac{3}{7}[/tex] )

Answer:

a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Step-by-step explanation:

a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:

[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)

Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.

If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:

[tex](h,k) = (4, -6)[/tex]

The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.

b) Now we need to determine the length of each semiaxis:

Major semiaxis ([tex]a[/tex])

[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)

[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]

[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]

[tex]a = 9[/tex]

Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.

Distance between focus and center ([tex]c[/tex])

[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]

[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]

[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]

[tex]c = 5\sqrt{2}[/tex]

Minor semiaxis ([tex]b[/tex])

[tex]c^{2} = a^{2}-b^{2}[/tex] (3)

[tex]b = \sqrt{a^{2}-c^{2}}[/tex]

If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:

[tex]b = \sqrt{31}[/tex]

In this case, the standard equation of the ellipse is defined by this formula:

[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]

If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:

[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]

The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].

c) The lengths of the axes are, respectively:

Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]

Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]

Answer:

a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.

b) The standard equation of the ellipse is .

c) Major semiaxis (): , Minor semiaxis ():

Step-by-step explanation:

Where exactly are the alleged statements?

Answer: first one

Step-by-step explanation:

Answer:

y = 0 feet

Step-by-step explanation:

Given equation:

y = 25x

Where,

y = height (feet)

x = time (seconds)

25 = constant

Find the height of the elevator when the time is 0 seconds

y = 25x

y = 25(0)

y = 0 feet

Answer:

x =  -9

Step-by-step explanation:

Answer:

√8x^7y^8

= 2x^3y^4 √2x

answer is C. third choice

Step-by-step explanation:

The expression is equivalent to given expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is √(8x⁷y⁸).

Here, √(8x⁷y⁸)

= [tex](8x^7y^8)^{\frac{1}{2} }[/tex]

= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^{\frac{8}{2} }[/tex]

= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex]

Therefore, the equivalent expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].

To learn more about an equivalent expression visit:

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Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

Answer:

Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Step-by-step explanation:

First you make the fraction's denominator equal

2/5 = 4/10

Camen's water bottle is 1 8/10

Jorge's water bottle is 2 4/10

1/2 = 5/10

Make the fractions into a improper fraction

Camen's is 18/10

Jorge's is 24/10

subtract it

24 - 18 = 6

So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Answer:

71 feet below the water.

Step-by-step explanation:

x=the divers position relative to the surface

when x=0, the diver is at the surface.

when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.

Answer:

(-2, 6)

Step-by-step explanation:

Plug in one of the equations into the y-variable (doesn't matter which):

2x + 10 = -4x - 2

Combine like terms by adding the 4x to both sides. This makes it cancel out on the right side, and 2x + 4x on the right side is 6x:

6x + 10 = -2

Combine like terms by subtracting 10 from both sides, making it cancel out on the left side, and on the right: -2 - 10:

6x = -12

Then isolate the x-variable by dividing both sides by 6:

x = -2

Taking the -2, plug it into an x-variable in either of the equations:

y = 2x +10

y = 2(-2) + 10

y = -4 + 10

y = 6

Answer:

your answer is right its 90°

Answer:

254.34 in^2

Step-by-step explanation:

Answer:

Pizzas: $8, Breadsticks: $3

Step-by-step explanation:

1. Write an equation.

Let the variables p = price of pizzas, and b = price of breadsticks

The equation: 3p + 2b = $30 for the first customer. The equation: 4p + 3b = $41 for the other customer.

2. Use the Elimination Method.

 (4p+3b=41) x3 =  12p+9b=123

- (3p+2b=30) x4 = 12p+8b = 120

------------------------------------------------

                                     8b = 3

Pizzas: $8

Breadsticks: $3

Answer:

g = 10

Step-by-step explanation:

-1.3g + 1.9 = -11.1

-1.3g = -11.1 - 1.9

-1.3g = -13

g = 10

Answer:

Step-by-step explanation:

x   - measure of angle

x + 3.2°   - measure of its complementary angle

Complementary angles adds to 90°

x + x + 3.2° = 90°

2x = 90° - 3.2°

2x = 86.8°

 x = 86.8°÷2

 x = 43.4°

x+3.2° = 43.4° + 3.2° = 46.6°

Answer:

Event A = 1/3

Event B = 1/6

Step-by-step explanation:

The probability of drawing a number between 1 and 10 (Event A) is approximately 0.3333 or 33.33%.

To calculate the probability of Event A, we need to determine the total number of favorable outcomes (numbers between 1 and 10) and divide it by the total number of possible outcomes (all numbers from 1 to 30).

Counting the favorable outcomes:

Event A consists of numbers between 1 and 10. So, there are 10 favorable outcomes: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Counting the total possible outcomes:

The hat contains numbers from 1 to 30. So, there are 30 possible outcomes: {1, 2, 3, ..., 30}.

Calculating the probability of Event A (P(A)):

The probability of an event is given by the formula:

P(A) = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes).

In this case,

P(A) = 10 (favorable outcomes) / 30 (total possible outcomes)

P (A) = 1/3 ≈ 0.3333 or 33.33%.

To know more about probability here

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Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer:

280 Cubic inches

Step-by-step explanation:

When finding the volume, the equation is V=l*w*h

Therefore, the equation should be:

10.1*3.9*6.8

This is equal to exactly 267.852

However, the answer is 280 cubic in. because it's a larger number and it's about 13 from the actual answer. On the other hand, 250 cubic in. is about 17 from the actual number.

Answer:

yes, school is hard

thanks for points

have a good day ....❤

Answer:

y = - 4x + 5

Step-by-step explanation:

(y-1)/ (5-1) = (x-1)/(-1)

y-1 / 4 = -x+1

y-1 = -4x+4

y = - 4x + 5

Answer:

1,436.8

Step-by-step explanation:

The other no. is:

32

As you can see that in the ratio given, 3 is the smaller no. and 12 too.

So when we divide 12 by 3, we get 4

Then to find the other no. we need to multiply 4 with 8 (which is the other no.          in the ratio given)

Therefore, we get the other no. as 32

And also when you divide 12 by 32,

You get the answer as 3 by 8 (which is the given ratio)

Hope you found this helpful!

THANK YOU!!

∝ Sidhdi

Answer:

Step-by-step explanation:

Use Pythagorean

Answer:

in right angled triangle BCD

by using Pythagoras law

P²+B²=H²

A²+B²=C²

36²+18²=x²

x=√1620=18√5m

x=18√5 m is your answer

Answer:

The answer would be C. Inference