Let $F,$ $G,$ and $H$ be collinear points on the Cartesian plane such that $\frac{FG}{GH} = 1.$ If $F = (a, b)$ and $H = (7a, c)$, then what is the $x$-coordinate of $G$?

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Answer:

17.5

Step-by-step explanation:

7*5/2

Answers:

===============================================

Explanation:

The domain consists of the set of x coordinates of each point. In this case, we only have one x value listed. The domain is {15}. Use curly braces even if there's only one item. This tells the reader we have a set.

The range is {0,-2} to indicate the y coordinates of the two points.

We don't have a function because x = 15 repeats itself. The input x = 15 leads to multiple outputs at the same time, which isn't allowed if you want a function. You can use the vertical line test as a visual way to see that we don't have a function.

Answer:

48

Step-by-step explanation:

25% is 1/4 of the bag. 12x4 = 48.

There are 48 jelly beans in the bag.

Hope that helps

Answer:

The answer is 48.

Step-by-step explanation:

25%= times by 4.

So.. 12 times 4 = 48.

Hope that helps. x

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

Answer:

i think 1/2(6x-10)-x = 2x-5

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

Answer:

45

Step-by-step explanation:

The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.

Please mark brainliest I really need it

Answer:

43 I think that is the Answer

Step-by-step explanation:

when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.

and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.

and all angles around a single point on one side of a line are together 180°.

because of all that,

angle 2 = angle 3 = angle 6 = angle 7 = 76°

angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°

Answer:

2/7

Step-by-step explanation:

gradient y²-y¹/x²-x¹=4-2/4-(-3)

=2/7

{Taking (x¹,y,¹)=(-3,2)

and(x²-y²)=(4,4)

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

Answer:

 (x, y) = (-1.8, -1.4)

Step-by-step explanation:

Answer: what? What’s the question?

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Read more about Random Numbers at; https://brainly.com/question/251701

#SPJ2

Answer:

12p

Step-by-step explanation:

9p+3p=12p

Answer:

Step-by-step explanation:

Answer:

a: 70 degrees, b: 140 degrees

Step-by-step explanation:

Each of the sets of angles must add up to 180 degrees.

180 - 110 = 70

180 - 40 = 140

Answer:

w < -7

Step-by-step explanation:

Do -42 divided by 6 and keep the sign the same.

You get w < -7.

Hope this helps! :)

The solution to the system of equations is (2,0)

The equation is given as:

[tex]y = 0.5x - 1[/tex]

The other equation passes through the points (3,1) and (-5,-7).

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{-7 - 1}{-5 -3}[/tex]

[tex]m = \frac{-8}{-8}[/tex]

[tex]m =1[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 1(x -3) + 1[/tex]

[tex]y = x -3 + 1[/tex]

[tex]y = x -2[/tex]

Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]

[tex]x- 2 =0.5x - 1[/tex]

Collect like terms

[tex]x-0.5x= 2 - 1[/tex]

[tex]0.5x= 1[/tex]

Divide both sides by 0.5

[tex]x= 2[/tex]

Substitute 2 for x in [tex]y = 0.5x - 1[/tex]

So, we have:

[tex]y = 0.5\times 2 - 1[/tex]

[tex]y = 1 - 1[/tex]

[tex]y = 0[/tex]

So, we have:

[tex](x,y) =(2,0)[/tex]

Hence, the solution to the system of equations is (2,0)

Read more about systems of equations at:

https://brainly.com/question/14323743

Answer:

38x + 38

Step-by-step explanation:

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

https://brainly.com/question/20478559

Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

The value of the variable x can be determined using the circle theorem to

determine the angle formed by x.

The correct responses are;

Reasons:

(1) From circle theorem, we have;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;

Therefore;

Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference

Which gives;

(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given

Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x

Equal arcs subtend equal angles at the center of a circle.

Therefore;

Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x

Angle at center = 2 × angle at circumference

Therefore;

x = 2 × 50° = 100°

x = 100°

(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given

By definition, we have;

Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center

According to circle theorem, we have;

Angle at the center = 2 × Angle at the circumference

Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;

y = 20°

[tex]\widehat {AB}[/tex] = 2·y

[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y

Therefore;

[tex]\widehat {AC}[/tex] = 6 × 20° = 120°

[tex]\widehat {AC}[/tex] = 120°

[tex]\widehat {AC}[/tex] = 2·x

Therefore;

2·x = 120°

[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]

x = 60°

Learn more circle theorems here:

https://brainly.com/question/16879446

The measure of side GH is 50.486 units.

Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:

[tex]\angle C \cong \angle F[/tex] (1)

[tex]\angle E \cong \angle H[/tex] (2)

[tex]\angle D \cong \angle G[/tex] (3)

Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:

[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)

If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:

[tex]GH = \frac{FG\cdot DE}{CD}[/tex]

[tex]GH = \frac{31\cdot 11.4}{7}[/tex]

[tex]GH = 50.486[/tex]

The measure of side GH is 50.486 units.

To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965

Answer:

23 is the answer of this question

Step-by-step explanation:

bye

Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3

Answer:

Step-by-step explanation:

To find the roots/zeros, set

2

x

3

+

x

2

−

x

equal to

0

and solve.

2

x

3

+

x

2

−

x

=

0

Factor the left side of the equation.

Tap for more steps...

x

(

2

x

−

1

)

(

x

+

1

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

2

x

−

1

=

0

x

+

1

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

The final solution is all the values that make

x

(

2

x

−

1

)

(

x

+

1

)

=

0

true. The multiplicity of a root is the number of times the root appears.

x

=

0

(Multiplicity of

1

)

x

=

1

2

(Multiplicity of

1

)

x

=

−

1

(Multiplicity of

1

)

Answer:

  -1, 0, 1/2

Step-by-step explanation:

The function can be factored as ...

  y = x(2x^2 +x -1)

  y = x(2x -1)(x +1)

The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:

  -1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1

Answer:

You accedently put Mathematics I think you meant Social Studies haha

Step-by-step explanation: