A line passes through the points (6, 8) and (4, 2). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Using translation concepts, it is found that the correct statements are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

h(x) = -x² = -g(x), which means that h(x) is a reflection of g(x) over the x-axis. Since [tex]g(x) \geq 0[/tex] for all values of x, [tex]h(x) \leq 0[/tex] for all values of x, which means that they are equal at the origin and g is greater for other values of x, hence the correct statements are:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

B is true

C is false

D is false

Step-by-step explanation:

- B is true because two negative numbers are added together, the outcome is negative hence always less than 0

- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater

- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0

example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1

Component form of u is (-18,13) and The magnitude of u is 22.2

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

https://brainly.com/question/25705666

#SPJ1

Answer:

length of PR is [tex]4\sqrt{5}[/tex]

Is an isosceles triangle

because PQ is congruent to QR

Step-by-step explanation:

Calculate length of P(-6,0) R(2,4)

=> apply distance formula

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(2-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

[tex]4\sqrt{5}[/tex]

Calculate length of P(-6,0) Q(-3,4)

[tex]\sqrt{\left(-3-\left(-6\right)\right)^2+\left(4-0\right)^2}[/tex]

= 5

5(PQ) = 5(QR)

Answer:

[tex]13.\overline 3[/tex]

Step-by-step explanation:

We can use proportions to find the amount of water needed

Let [tex]x[/tex] be the amount of water needed

[tex]\frac{3}{2} = \frac{20}{x}[/tex] (with the ratio being 3 powder to 2 water)

Now we can cross multiply and solve for [tex]x[/tex]

[tex]3(x) = 20(2)\\3x = 40\\x = \frac{40}{3}\\ x = \boxed{13.\overline3}[/tex]

You will need [tex]13.\overline3[/tex] grams of water to make the flavored drink.

Answer:

mean 24.2

median 25

Step-by-step explanation:

6 11 25 31 48

The mean number is 8.7 and the outliers 1 and 2 reduce the mean value

The dataset is given as:

10, 12, 8, 11, 13, 9, 2, 1, 9, and 12​.

The mean number is calculated using:

Mean = Sum/Count

So, we have:

Mean = (10+ 12+ 8+ 11+ 13+ 9+ 2+ 1+ 9+12​)/10

Evaluate

Mean = 8.7

Hence, the mean number is 8.7

Outliers are relatively far from other data elements of the dataset

In the given dataset, 1 and 2 are far from other data element.

So, the outliers are 1 and 2

Because 1 and 2 smaller than other data elements, they affect the mean by reducing the mean value

Read more about outliers at:

https://brainly.com/question/3631910

#SPJ1

Answer:87/10 is the answer because there are no tens

Step-by-step explanation:

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

Since <PDA is right, the vertical angle, <BDC is right as well. Using sum of angles in a triangle, the angles in triangle BDC sum to 180, and for solving for <DCB, you get 30 degrees.

The line connecting the intersection of the tangents to the radius bisects the angle formed by the tangents; therefore, m<PCA is also 30 degrees.

A radius drawn to the point of tangency is perpendicular to the tangent, so <PAC is a right triangle. We can use sum of angles in a triangle for triangle PAC. Since <PCA is 30 and <PAC is right, <DPA is 60 degrees.

Now, we can look at triangle DPA, using sum of angles in a triangle, we can conclude triangle DPA is a 30-60-90 special right triangle. The leg opposite the 60 degree angle is √3 times the leg opposite the thirty degree angle. Since <DPA is 60 degrees and <PAD is 30:

[tex]DP\sqrt{3} = 6\\DP = \frac{6}{\sqrt{3} } \\DP = \frac{6}{\sqrt{3} } \times \frac{\sqrt{3} }{\sqrt{3} } \\DP = \frac{6\sqrt{3} }{3} \\DP = 2\sqrt{3}[/tex]

Also, in a 30-60-90, the hypotenuse is twice the leg opposite the 30 degree angle, so x is 2 * 2√3. or [tex]4\sqrt{3}[/tex].

Answer:

B

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

Answer:

12mph

Explanation:

Answer:

  (c)  (1, 3)

Step-by-step explanation:

The solution to the system of equations shown on the graph is the point where the lines intersect.

__

The coordinates of the point of where the lines cross are (1, 3).

The solution to the system of equations is (x, y) = (1, 3).

Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees

The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:

c² = a² + b² - 2abcosC

Given the following

c = 16

a = 12

b = 9

Substitute

16² = 12² + 9² - 2(9)(12)cosC

256 = 144 + 81 - 216cosC

31 = -216cosC

cosC = -31/216

C = 98.25 degrees

Hence the measure of the largest angle in triangle abc is 98.25 degrees

Learn more on cosine rule here:  https://brainly.com/question/23720007

#SPJ4

Answer:

if there were 8 cats then theres 8 cats, or 32 dogs

Step-by-step explanation:

Answer:

hope you can understand

Answer:

5000

makes the best sense

Answer:

All the GCFs look good!  Here's the simplified fractions:

Step-by-step explanation:

1. 2/3

2. 3/4

3. 3/7

4. 3/16

5. 27/29

6. 4/11

7. 2/11

Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!

By definition of conditional probability, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

The conditional probability P(A|B) is the probability that an event A occurs, knowing that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. Is defined as:

P(A|B) = P(A∩B)÷ P(B)

In this case, you know:

Being the event A∩B (A intersection B) when A and B occur simultaneously, then:

Suppose a person who eats salad is randomly selected and likes cheese on his salad, the probability that the person also likes tomatoes on their salad is:

P(B|A) = P(A∩B)÷ P(B)

Then:

P(A|B) = 0.36÷0.49

P(B|A) = 0.73= 73%

Finally, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

Learn more about conditional probability:

brainly.com/question/14398287

brainly.com/question/19489568

#SPJ1

5ax+6ax=7ax+8

5ax+6ax-7ax=8

4ax=8

x= 8/4a

x=2a

Answer:

64

Step-by-step explanation:

This is a kite. Kite's diagonals are perpendicular. Since they are perpendicular, they form a 90° at where the two diagonals intersect.

The sum of all degrees for a triangle is 180. 180 - 90 - 26 = 64

Step-by-step explanation:

1. translated down by 3 units.

2. reflected over the x-axis

3. translated left by 4 units : (x-1 + 4)

4. translated right by one unit : (x-1 - 1)

5. reflected over the y-axis (but it is really a translation to the left by 2 units : x-1 + 2).

6. translated up by 1 unit

The correct match of each tile of the equation with its solution is:

To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.

From the image attached below;

1.

n - 13 = - 12

Let us add (+13) to both sides to eliminate (-13), i.e.

n - 13 + 13 = - 12 + 13

n = 1

2.

n/5 = -1/5  

multiply both side by 5

n/5 × (5) = -1/5 × (5)

n = -1

3.

n + 15 = - 10

n +15 - 15 = - 10 - 15

n = -25

Learn more about matching each tile to the correct box here:

https://brainly.com/question/17203448

#SPJ1

Answer:

6 ft 1 in

Step-by-step explanation:

if you divide 73in by 12 you get 6ft 1in

Answer:

Write in slope-intercept form,

y

=

m

x

+

b

.

y

=

5

3

x

−

20

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-5/12x+5/3

Answer:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

Using the together rate, it is found that it will take 1.71 hours for Bella and Jordan to rake the leaves.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]

[tex]x = \frac{12}{7}[/tex]

x = 1.71.

It will take 1.71 hours for Bella and Jordan to rake the leaves.

More can be learned about the together rate at https://brainly.com/question/25159431

#SPJ1

The graph (A) in the picture represents the solution to the inequality, option (A) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are missing.

The graph is in the picture, please refer to the picture.

We have an inequality:

y − 2x ≤ 1

The above inequality represents a straight line with a positive slope.

The right side region of the line is representing the solution to the inequality.

Graph (A) represents the inequality.

Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

Answer:

this is your answer

hope it will help you