Which number line shows the solution of - 4x + 6 > 18?O A.-10 -9 -8 -7 -6 -5 -4e-3 -2 -1012345678co910B.0-10 -9 -8 -7 -6 -5 -4 -3 -2 -10 1 234ch6 7 8 9 10C. +-10-9-8-7 -6 -5 -4 -3-2 -1 0 1 2 3 4 5 6 78 9 10O D.3-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 24 5 6 7 8 9 10

Given

We are going to find the slope. since they are parallel is the slope will be equal

From the graph we have two points

(-2,2) and (2,4)

Now

The final answer

Option C

Answer:

2

Explanation:

Precision has to do with the state of a value being exact. The values that determine the precision is the number of which when removed will have little or no effect on the other values.

Given the value 345.82, you will see that if the value of 2 is removed, the whole figure will not be affected. Hence the value that determines its precision is 2

EXPLANATION

Using a unit multiplier give us the following relationship:

The formula for the length of diagonal for the square of side a is,

Substitute 1 for a in the formula to obtain the length of diagonal.

So answer is 1.4 km.

To answer this question we have to calculate the slopes of each line and compare them:

slope= m = (y2-y1)/(x2-x1)

For line 1 we have:

(x1,y1)= (0,5)

(x2,y2)= (6,2)

REplacing:

m= (2-5)/(6-0) = -3/6 = -0.5

For line 2:

(x1,y1)= (-6,1)

(x2,y2)= (0,-1)

Replacing:

m = (-1-1/ 0-(-6)) = -2/6 =

We have the following expression:

we are given that r = 5, then, the equation is:

then, if we want to make a table for the values of t = 3,4,5,6, we have:

then, the table would be the following:

Answer:

Equation of the parabola: y = (2/9)(x - 5)² - 3

y-coordinate for the y-intercept: 23/9

Explanation:

The equation of a parabola with vertex (h, k) is

y = a(x - h)² + k

Where a is a constant value.

Replacing the vertex (h, k) = (5, -3), we get:

y = a(x - 5)² - 3

Now, to find the value of a, we will replace (x, y) by the given point (2, -1)

-1 = a(2 - 5)² - 3

Solving for a, we get:

-1 = a(-3)² - 3

-1 = a(9) - 3

-1 + 3 = 9a - 3 + 3

2 = 9a

2/9 = 9a/9

2/9 = a

Therefore, the value of a is 2/9 and the equation of the parabola is

y = (2/9)(x - 5)² - 3

Now, to know the y-coordinate for the point where the parabola intersects the y-axis, we need to replace x by 0, so

y = (2/9)(0 - 5)² - 3

y = (2/9)(-5)² - 3

y = (2/9)(25) - 3

y = 50/9 - 3

y = 23/9

So, the answers are:

Equation of the parabola: y = (2/9)(x - 5)² - 3

y-coordinate for the y-intercept: 23/9

Given

Number of articles you have to read = 6

Find

Number of ways to choose four articles to read.

Explanation

here , we apply permutations,

so ,

Final Answer

Hence , the number of ways to choose four articles to read is 360

Given:-

Radius of cylinder is 28 and Height of cylinder is 18.

To find:-

The volume of the cylinder.

So now we use the formula of cylinder,

Substituting the known values. we get,

So the required solution is 14112pi.

if two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel, (option A)

For two lines to be parallel:

1) A transversal line will cut the two lines, thereby making the interior angles on both sides of the transversal line supplementary

2) A transversal line will cut the two lines, such that the corresponding angles will be equal(congruent).

From the options, the correct one:

if two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel, (option A)

Given statement-

Write a number of terms in a trinomial.

To find- the number of terms.

Explanation-

A trinomial is a polynomial with three terms (with single or multiple variables).

An example with one variable is mentioned below.

Similarly, with multiple variables is mentioned below.

Given:

To Determine: The domain of the given function

Solution

For the given function

Answer:2

Step-by-step explanation: always remember that the scale factor  is the ratio that exists between the measurements of a map with the originals ,the scale factor is dimensionless,the scale is the relationship between the real dimensions and those of the drawing that represents reality on a plane or a map.

okwe need to calculate tge rate of the relation so must do a divison the area between the gallons so

so, you have 182 square feet per gallon

the answer is C

Step-by-step explanation:

please give the complete question

Solution:

Given the figure below:

From the figure, AED is congruent to AFD.

Thus,

The values of α and β must be Equal. Point D is the same distance from the rays that form angle EAF, so D is on the Angle bisector. Therefore, segment AD cuts angle EAF into 2 Congruent angles.

Solution

For this case we have the following number:

u= 35i -12j

And we want to find the magnitude and direction of -3u so we have this:

-3 u = -105i + 36j

Then the magnitude is given by.

And the angle can be founded using this:

Therefore the angle is:

-18.92 + 360 º= 341º

The answer is:

111, 341º

Given

Solution

The final anwer

From the table we can derive the following :

Revenue earned by B&B from the sale of mini trucks = 9

The total sales revenue earned by all four companies = 431

Recall that relative frequency is calculated using the formula:

Hence:

first transform the mixed number

now do the division

we can represent the 6 as 6/1 to use the following method

where the red multiplication is the numerator and green the denominator

so

then the answer is 11/15

hello

to find the discriminant of a root, i'll write down the formula for you

now there are six nature of roots

1.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

DVD price = $8

Book price = $5

Step 02:

total cost = 15 dvd * $8 + 24 book * $5

= 120 + 120 = $240

The answer is:

The total cost of the order is $240

Answer:

Explanation:

The points are all on a straight line, we determine the equation of the line.

The slope-intercept form of a line is:

Since y varies directly with x, we have the following relation:

Where k is a constant.

For y = 8 and x = 4, we have:

Then, for y = 10, we have:

So for y = 10 we have x = 5.

The numeric value of the derivative of the function at x = -1 is given by:

f'(-1) = -12.

A function defined by the multiplication of two functions is as follows:

f(x) = g(x)h(x)

The derivative of this function is given as follows:

f'(x) = g'(x)h(x) + h'(x)g(x).

In this problem, the function is:

f(x) = x^6h(x).

The parameters are as follows:

The derivative is given by:

f'(x) = x^6h'(x) + 6h(x)x^5

At x = -1, the numeric value of the derivative of the function is:

f'(-1) = (-1)^6 x (6) + 6 x 3 x (-1)^5 = 6 - 18 = -12.

We just took the general derivative calculated, and for the numeric value at x = -1, only the data given on the exercise for function h(x) was needed.

More can be learned about derivatives at https://brainly.com/question/5313449

#SPJ1

Answer:

Explanation:

Step 1. The points we have for the function are:

Where the points are in the form (x, y) --> the first number represents the x-value and the second number represents the y-value.

Step 2. The Domain of a function is the set of x-values possible.

In this case, given by the set of points, we can find the set of x-values (Domain):

Step 3. The Range is the set of y-values possible for the function. It can also be found by the points, this time, by the second number of the points:

Answer:

According to the given information, the class must be congruent and symmetric towards the hallway. To do that, we need to use the same transformation on each vertex in order to have symmetry.

Therefore, the right answer would be Yes, because the same transformation was applied to all the vertices.

Answer:

No, because the transformation applied was not a rigid motion.

Step-by-step explanation:

The y values are decreased by a scale factor of -3, which makes the classroom a different size than the biology classrom.

This is a conditional probability problem

The conditional probability of A given B, denoted P(A|B), is the probability that event A has occurred in a trial of a random experiment for which it is known that event B has definitely occurred. It may be computed by means of the following formula:

To determine P(A|B)

Since P(A) = 0.55 and P(B)=0.72

So,

P(A|B) =0.550 (To the nearest thousandth)

3j +2s = 29 ...eqn(1)

j + s = 12 .......eqn(2)

By elimination method of solving simultaneous equations, we have,

For this question, we need to calculate the slope

For G

For R

For B

R is perpendicular to B