Combine the like term to create an equivalent expression:
-k - (-8k)

Answer:

4 : 7

Step-by-step explanation:

First, you can start by moving all the terms to one side:

14x^2 + 6xy - 8y^2 = 0

Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:

2(7x^2 + 3xy - 4y^2) = 0

In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:

2(7x^2 + 7xy - 4xy - 4y^2) = 0

Now, we can start to factor by grouping:

2( 7x[x + y] - 4y[x + y] ) = 0

And we can factor out [x + y]:

2(x + y)(7x - 4y) = 0

So, we can use the zero product property to get two equations:

x + y = 0

and

7x - 4y = 0

You get:

x =  -y

and

7x = 4y

We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7

Answer:

x= -14

Step-by-step explanation:

Answer:

I beileve it is Y.

Step-by-step explanation:

Answer:

7x + 7

Step-by-step explanation:

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

Answer:

disagree

Step-by-step explanation:

toa=opposit over adjacent= 12/9

tan(x)=12/9

tan^-1=12/9

x= 53.1

Answer:

Disagree

Step-by-step explanation:

x actually equals 53.13

Answer:

A) 1.84

Step-by-step explanation:

I just took the quiz

The standard error of the sampling size is 121 is 1.84

"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."

"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:

σx = σ / sqrt(n)."

Given,

Standard deviation of the sample is 20.2

and sample size is = 121

Standard error is = [tex]\sigma/\sqrt(n)[/tex]

i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84

Hence, option A is true.

To know more about standard error here

https://brainly.com/question/13179711

#SPJ2

Answer:

16x5+6x4

Step-by-step explanation:

(2x(3+5)+6)(x4)

=(2x(3+5)+6)(x4)

=(2x(3+5))(x4)+(6)(x4)

=16x5+6x4

Answer:

88

Step-by-step explanation:

to solve these kind of questions use BODMAS

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

12 ft

Step-by-step explanation:

6 ft+3 ft+3 ft=12 ft

Answer:

the answer is B so it's 12

Answer:

Step-by-step explanation:

Ewww

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer:

Line D represents a proportional relationship.

Step-by-step explanation:

In an easy way to explain what a proportional relationship is, it is basically a line graph that passes through the origin point. When a line graph passes through the origin point (0,0), it is proportional.

Other graphs do not intersect the origin points so they are not proportional.

Answer: l=-3+square root of 29

Step-by-step explanation:

I got this on my math homework

Answer:

A x=18

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  10.2 ft

Step-by-step explanation:

The total surface area S is the sum of the base area and the lateral area. The base area is the area of the two triangular bases, which have a "base" of 6 ft and a height of 4 ft.

  area of 2 bases = 2(1/2)bh = bh = (6 ft)(4 ft) = 24 ft²

The lateral surface area is the sum of the areas of the three rectangular faces. That will be ...

  total face area = (4 ft)(x) +(6 ft)(x) +(7.2 ft)(x) = (17.2 ft)(x)

So, the total surface area is ...

  200 ft² = 24 ft² + (17.2 ft)(x)

  176 ft² = (17.2 ft)x . . . . . . . . . . subtract 24 ft²

  (176 ft²)/(17.2 ft) = x ≈ 10.2 ft . . . . . divide by the coefficient of x

The unknown prism height is about 10.2 ft.

Answer:

Quadrant 1

Step-by-step explanation:

Answer:

6.28 cm

Step-by-step explanation:

Given,

Diameter = 2 cm

pi = 3.14

To find : Circumference ( circle ) = ?

Radius ( r )

= Diameter / 2

= 2 / 2

= 1 cm

Formula : -

Circumference ( circle ) = 2 pi r

2 pi 4

= 2 × 3.14 × 1

= 6.28 cm

Answer:

6.28

Step-by-step explanation:

radius= diameter/2

r=2/2=1

circumference formula=2[tex]\pi[/tex]r

[tex]\pi[/tex]=22/7 or 3.14

So,

2[tex]\pi[/tex]r= 2*3.14*1= 6.28

Answer:

hope this will help you more

Answer:

j

Step-by-step explanation:

h

Working with the right side,

(1 + sin(θ))/(1 - sin(θ)) - (1 - sin(θ))/(1 + sin(θ))

multiply the first term by (1 + sin(θ))/(1 + sin(θ)) and the second one by (1 - sin(θ))/(1 - sin(θ)). This gives

(1 + sin(θ))/(1 - sin(θ)) • (1 + sin(θ))/(1 + sin(θ)) = (1 + sin(θ))^2 / (1 - sin^2(θ))

… = (1 + sin(θ))^2 / cos^2(θ)

and

(1 - sin(θ))/(1 + sin(θ)) • (1 - sin(θ))/(1 - sin(θ)) = (1 - sin(θ))^2 / (1 - sin^2(θ))

… = (1 - sin(θ))^2 / cos^2(θ)

Now combine the fractions, expand the numerator, and simplify:

(1 + sin(θ))^2 / cos^2(θ) - (1 - sin(θ))^2 / cos^2(θ) = ((1 + sin(θ))^2 - (1 - sin(θ))^2) / cos^2(θ)

… = ((1 + 2 sin(θ) + sin^2(θ)) - (1 - 2 sin(θ) + sin^2(θ))) / cos^2(θ)

… = 4 sin(θ) / cos^2(θ)

… = 4 • sin(θ)/cos(θ) • 1/cos(θ)

… = 4 tan(θ) sec(θ)

Answer:

12

Step-by-step explanation:

9x12=108

Answer:

length is 12

Step-by-step explanation:

108 divided by 9 is 12

Answer:

50.965.01

Step-by-step explanation:

Answer:

lateral area = 308 ft

surface area = 616 ft

Answer:

The answer is "[tex]28^{\circ}[/tex]"

Step-by-step explanation:

Please find the complete question in the file.  

The angle F measure is identical to the angle C measure.

The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.

[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]