what is the missing factor in the following factoring problem

The slope formula for 2 points is

where

By substituting these values into the slope formula, we get

therefore, the slope is 4.

Quadrants 2 and 3

Explanation

Step 1

graph inequality 1

a)Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

so

draw a line that passes trough P1 ( 0,2) and P2( -1,-1) and

b)shade below the line for a "less than" (y< or y≤).

so

Step 2

graph inequality 2

a)Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

so

draw a line that passes trough C ( 0,1) and D( -1,3) and

b)shade below the line for a "less than" (y< or y≤).

so

Step 3

finally, the solution is the intersection of the shaded areas,hence

therefores, the solution lies in

Quadrants 2 and 3

I hope this helps you

Solution

The quadratic equation is

ANSWER :

EXPLANATION :

SOLUTION

We want to find the figure in which lines perpendicular to l are drawn through points A, B, C, and D

The correct figure will be the one in which a vertical line is drawn across each of points A, B, C and D.

Looking at this, we can see that the correct answer is the first option

Answer:

a

Step-by-step explanation:

Ok, so it takes Mike 40 minutes to work on 6 pages. Let's calculate how many he types in 1.5 hours.

In order to calculate that, we'll use a cross product. But first, let's see how many minutes 1.5 hours are correspondent to:

1 hours - 60 minutes

1.5 hours - x

x= 60*1.5 = 90 minutes.

So:

40 min - 6 pages

90 min - x

40x = 6*90

40x = 540

x= 13.5 pages

He will type and spell check 13.5 pages.

We can compute the growth percentage, computing first, two consecutive values, as follows:

Then, the growth percentage is:

This problem is sysyem of equations

Equation 1 x + y = 12

In order to calculate how much will be owed, we can use the formula below for interest compounded continuously:

Where A is the final amount after t years, P is the initial amount and r is the interest rate.

So, using P = 1300, r = 0.04 and t = 6, we have:

Therefore the amount owed after 6 years is $1652.62.

The bucket has 3000 milliliters of water.

It leaks 18ml per minute.

Let "y" represent the remaining water after a certain number of minutes and "x" represent the number of minutes passed.

"3000ml" represents the y-intercept of the function (the amount of water in the bucket at x=0 minutes)

and "-18ml" represents the amount of water that has leaked after a certain amount of time, and is the slope of the function. The value is negative because the volume of the bucket is decreasing as time passes.

Then the function will be

The question asks us to perform the inverse of two functions.

To solve this question, we need to understand how the inverse of a function works.

The inverse of a function is defined thus:

With this definition, we can solve the questions.

Question 1:

Question 2:

Thus, the answers are

SOLUTION

Given the question in the image, the following are the soluton steps to answer the question.

STEP 1: Draw the given triangle

STEP 2: Write the given parameters

Since we do not know the measure of any of the two remaining angles, we cannot solve for the required sides and angles.

Hence, There is no enough information to solve the triangle

A box plot is a standardized way of displaying the distribution of data based on a five-number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).

The points at the beginning and end of the graph show the outliers (minimum and maximum values).

The outer lines on the left and right of the box show the first quartile and third quartile respectively, while the line inside the box is the median.

From the question, the third quartile (Q3) is the outer line to the right of the box, and its value is 29.

Therefore, OPTION D (29) is correct.

Answer:

mAB = 30°

Explanation:

mCD is the measure of angle 1 and mAB is the measure of angle 2. These angles are vertically opposite because they are formed by intersecting lines and they are on opposite sides.

Vertically opposite angles have the same measure, so:

mAB = mCD

mAB = 30°

Therefore, the measure of AB is 30°

we have that

the aprent function

f(x)=x^2

g(x) is a reflection over x -axis of the parent function with a vertical dilation

so

g(x)=-ax^2

Find the value of the leading coefficient a

looking at the graph

For x=1

the value of g(x) is -4

therefore

Given data:

The length of branch is BC=10 m.

The given angle is β=23.58 degrees.

1)

The expression for the height of the branch above the ground is,

Substitute the given values in the above expression.

Thus, the height of the branch above the ground is 4 m.

ANSWER :

The answer is C. a 140-degree angle

EXPLANATION :

A protractor is used to measure the angle.

From the figure, the angle is 140 degrees.

ANSWER

x = 9

EXPLANATION

We have the rectangle with width 3 ft and length (2 + x) ft.

The perimeter of the triangle is 28 ft.

The perimeter of a rectangle is given as:

P = 2(L + W)

where L = length

W = width

Therefore, we have that:

28 = 2[(2 + x) + 3]

28 = 2(2 + x + 3) = 2(x + 5)

28 = 2x + 10

=> 2x = 28 - 10 = 18

Divide through by 2:

2x/2 = 18/2

x = 9

That is the value of x.

Solve;

A

Since AB in perpendicular to CD and bisects mThis can be written as

but

then

pluggin the value of the angle m[tex]\begin{gathered} 130+2m<\text{DOP}=180 \\ 2m<\text{DOP}=180-130 \\ m<\text{DOP}=\frac{50}{2} \\ m<\text{DOP}=25 \end{gathered}[/tex]Therefore the angle m

B

As we mentioned above the angle mthen m

Using equation (1) of part to find the angle m[tex]\begin{gathered} m<\text{MOP}+38+38=180 \\ m<\text{MOP}=180-76 \\ m<\text{MOP}=104 \end{gathered}[/tex]therefore the angle m

ANSWER:

STEP-BY-STEP EXPLANATION:

We can calculate the equation that represents relationship B, calculating the slope using the data from the table, like this:

Therefore, the equation of relationship B is:

Therefore, the relationship A, having a greater rate, could be the following:

For the Rhombus you know that:

The opposite sides are parallel

All sides have equal length

Its diagonals bisect each other in right angles

You can calculate the area of the Rhombus by either mutiplying its whide by its length, and sice its 4 sides are of equal lenght, the area will be equal to the square of one of it's sides (s):

Or using its diagonals (d1 and d2) you can calculate its area as:

From the given information, since AB is congruent to BC then triangle ABC is issoceles,

therefore, the base angles measure the same and they are denoted by x. Since interior angles of any triangle add up to 180, we have

which gives

Then, each base angle measure 53 degrees.

On the other hand, since DA bisects angleEAC then angle DAC measure the same as angle EAD, that is,

Therefore, angleEAB is equal to

By substituting our last result, we have

then, the answer is 141 degrees

the given expression is

15/ 75

that is

1/5

thus, the lowest term is 1/5

The perimeter of a triangle is given by:

Now, if the triangle is dilated by a factor of 3 this means that we multiply each side by 3, then we have:

Therefore the new triangle will have a perimeter of 36.

Now, the original area is given by:

if we dilate the triangle by a factor of three we get:

Therefore the new area is 54.

Wiith this we conclude that the answer is 3.

The type of triangle is isosceles.

Picture

The vertex of the parabolic equation y = (x+2) (x-2) is at (0,4) .

The given equation is of the form y = (x+2) (x-2).

This can be simplified using the properties of algebra:

y = x² - 4

the graph of the parabolic function y = x² - 4 is attached below.

a) The vertex of this graph is at (0,4) .

b) The graph opens upwards

c)The axis of symmetry of the graph is the y-axis or the line x = 0

e)For finding the maximum and minimum values we find the derivative of x.

y = x² - 4

dy/dx = 2x

at dy/dx = 0 , x = 0

at x=0 , y= - 4

hence the function has a minimum value at -4 and the maximum value of y is infinity.

f) Domain of the function (-∝ < x < ∝)

range of the function ( y ≥ 4 )

g) The equation in the standard form is given by y = x² - 4 .

Disclaimer: The missing equation is y = (x+2)(x-2).

to learn more about vertex visit:

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We know that

Solving for x,

x is aproximately 33.56

Given:

The following inequalities:

When 0 < a < 1

So, the denominator will be always < 1

so, all the fraction will be greater than 1

So, the first inequality True

when 0 < a < 1

The inequality will be true as a < 1/2

The inequality will be wrong when a >1/2

So, the second inequality is wrong

The inequality true when a >1

so, for 0 < a < 1, the inequality is wrong

So, the answer will be option A. I only

Solution:

The question asked to prove that

The given statement is

Line l and line m intersect

Linear pair theorem:

In math, the linear pair postulate or linear pair theorem, says the same in mathematical terms. If two angles form a linear pair, then the measures of the angles add up to 180

Also,

Two angles are called supplementary when their measures add up to 180 degrees.

That is,

Hence,

Linear pair theorem :

∠1 is supplementary to ∠2

∠2 is supplementary to ∠3

Congruent Supplements Theorem:

If two angles are supplements of the same angle (or congruent angles), then the two angles are congruent.

Since angles 1 and 3 are supplements of the same angle 2

Therefore,

With the statement above we can conclude that

∠1 ≅ ∠3 (congruent supplements theorem)