what is the midpoint of the segment that would be created between points L and N on the graph

EXPLANATION

Since the value 7/10 is equivalent to 0.7, not to 0.07, the last equivalence is NOT correct.

2) We can draw this situation as:

We can now find the angle x.

We can use trigonometric ratios as:

3) We can draw this situation as:

We can find x as:

Answer:

2) 34.08°

3) 35.22°

Answer:

Step-by-step explanation:

Answer:

B, C are irrational

Step-by-step explanation:

Not a ratio

If they are paving a rectangular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. The actual area of the entire driveway they want to pave Is 1350 feet²

First step is to find the length of both side

Actual length on side

Length = ( 5 + 4) × 3

Length = 9 × 3

Length = 27 feet

Actual length of the other side

Length = 16 2/3 × 3

Length = 16 ×3 +2/3 ×3

Length = 16×3+2

Length = 48 +2

Length = 50 feet

Now let determine the actual area of the whole driveway they want t0 pace

Actual area = 50 feet × 27 feet

Actual area = 1350 feet²

Therefore we can conclude that the actual area is 1350 feet².

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Both milkshakes have the same thickness.

Given,

Solution:

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Since the diagonals in a kite intersect creating a right angle, the angles 2x° and (10x - 6)° are complementary angles. So we have:

So the value of x is 8.

The solution of x for the exponential equation 2⁻ˣ =3 × 2ˣ would be x = - log 3 / log 2.

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

The given exponential equation below is:

2⁻ˣ = 3 × 2ˣ

Take the logarithm on both sides of the equation,

log 2⁻ˣ = log 3 × 2ˣ

-x log 2 = log 3 + log 2ˣ

-x log 2 = log 3 + x log 2

x log 2 = - log 3

x = - log 3 / log 2

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Write out the given parameter for the proofing

Given:

From the given parameters, it can be seen that triangle PSR is an isosceles triangle because two sides (line PR and line PS) are equal

An isosceles triangle has two equal base angles.

Triangle QSR and triangle TRS has a common side which is line SR and line RS. This property is reffered to as reflective property

From the above proofs, it can be seen the triangle QSR and triangle TRS have a same side and same angles

Therefore,

Nothing

The perimeter of the rectangle PQRS would be 28 cm which is the addition of all lengths of sides.

The given rectangle PQRS that has a length of the diagonal PR is 10 cm and PQ = 8 cm

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

To determine the perimeter of the rectangle.

Since opposite sides of the rectangle and diagonal are equal.

⇒ PQ = SR = 8 cm

⇒ PR = QS = 10 cm

⇒ PS = QR = x cm (suppose)

In the rectangle, all the angles are right angles

Now in △QRS,

Using Pythagoras' theorem, we have

QS² = QR² + SR²

10² = x² + 8²

x² = 100 - 64

x =√36

x = 6 cm

So length of PS = QR = 6 cm

The perimeter of the rectangle = PQ + SR + PS + QR

The perimeter of the rectangle = 8 + 8 + 6 + 6 = 28 cm

Therefore, the perimeter of the rectangle PQRS would be 28 cm.

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The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

Number of girls in the class =18

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3

i.e. Ratio of boys and girls =2:3

Boys  : Girls  = 2 : 3    

B/G  = 2/3  -------1.

B/18 = 2/3

B = (18 x 2)/3

Boys =  12

Number of boys in the class = 12

Boy = 2x

12 = 2x

x = 12/2 = 6

number of girls in the class is 3x

3 x 6 = 18

Therefore, total number of students =12+18=30

The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

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To answer this question, we need to remember that the slope-intercept form of the line is given by:

Where

• m is the slope of line

• b is the y-intercept of the line, that is, the point where the line passes through the y-axis. At this point, x = 0.

Since we can see that the given equation is in slope-intercept form:

We can see that the slope of the line is:

And the y-intercept is:

In summary, we have that

• The slope of the line is m = 3.

• The y-intercept of the line is (0, -10)

Given:

the terminal side θ passes through the point (8,-7)

so,

The point lying in quarter number 4

so,

we have the following:

replacing, y = -4

therefore, the answer is 1

Let's understand some definitions first:

Polynomial - an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). (oxford languages)

When we have 1 term, we call it a monomial.

When we have 2 terms, we call it a binomial.

When we have 3 terms, we call it a trinomial.

Now,

• When the power of a variable is 1, we call it a line:

• When the highest power is 2, we call it a quadratic polynomial:

• When the highest power is 3, we call it a cubic polynomial:

Question

A ____ polynomial is a polynomial with a degree of 3​

Answer

A cubic polynomial is a polynomial with a degree of 3​

Answer:

B. y=9x+

Explanation:

To deermine tehe equation, pick two pairs of points from the table.

• The points are (8, 79) and (12, 115)

Substitute these points into the lope-ointercept form of the equation of a line.

At (8,79): x=8 and y=79

At (12, 115): x=12 and y=115

Solve the two equations siultaneously fror m and b.

Next, substitute m=9 into the first equation to solve for b:

Substitute m=9 and b=7 into the slope-intercept form:

The equation that represents the total amount Macy charges for each family where x represents the number of hours she babysits is:

Option B is correct.

Answer:

x = 17

Step-by-step explanation:

(6x - 20) and the angle vertically opposite (6x - 4) are same- side interior angles and sum to 180° , that is

6x - 20 + 6x - 4 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

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

Step 01:

Data

Family

12 members

4 lb food per person

total food = ?

Step 02:

total food

total food = 48 lb

The answer is:

You should prepare 48 lb of food

EXPLANATION

Putting the numbers from least to greast give us:

8, 10, 16, 27, 36, 63

Solution

Intercepts : (0 , ) and (160, 0 )

Symmetry: x = 60

positive: (0 , 120)

negaive: (--∝ , 0) U (120 , +∝)

Increasing: (-∝ , 60)

Decreasng ; (60 , +∝)

Relatve extrema: (150

Answer:  [tex]5t\sqrt{89}[/tex]  miles

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

Explanation:

Draw a right triangle. The legs of this triangle represent the directions the two friends travel (one going east, the other going north).

The horizontal leg has side length 40t and the vertical leg has length 25t, where t is the number of hours.

I'm using the idea that distance = rate*time.

We'll use the pythagorean theorem to find the hypotenuse in terms of t.

[tex]a = 40t, \ b = 25t\\\\a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{(40t)^2+(25t)^2}\\\\c = \sqrt{1600t^2+625t^2}\\\\c = \sqrt{2225t^2}\\\\c = \sqrt{25*89t^2}\\\\c = \sqrt{25t^2}*\sqrt{89}\\\\c = 5t\sqrt{89}\\\\[/tex]

At time t hours, the distance between the two friends is exactly [tex]5t\sqrt{89}[/tex] miles.

Answer: 2.25

Step-by-step explanation:

9 divided by 4 = 2.25

4 sides on the shape

2.25 cm on one side!

The line of best fit is the line which closely fits the data points.

Therefore from the look of the graph the statement which best defines the line is that it is the line of best fit because it closely fits the data points. Hence the fourth option is right.

Solve;

The answer is

No solution

1) the initial expression is:

To factor this expression we can use the cuadratic formula that is:

so we replace the values and we get:

So now we have two solutions so:

so the factor expression will be:

2) the initial expression is:

so we repeat the same procedure so:

So the two possible solutions are:

so the factor form is:

Normal Distribution

The normal distribution can be described by two parameters: the mean and the standard deviation.

We are given the parameters of a normal distribution as follows:

Mean = 18

SD = 4

A value of 24 is 24 - 18 = 6 units away from the center of the distribution, or the mean value.

Calculating the ratio of 6 units by 4 units, we get 6 / 4 = 1.5

This means the given value is 1.5 standard deviations away from the mean

ANSWER

One hat costs $26 and one scarf costs $10

EXPLANATION

Let the price of one hat be h.

Let the price of one scarf be s.

Two hats and two scarves cost $72. This implies that:

One hat and two scarves cost $46. This implies that:

From the second equation, make h the subject of the formula:

Substitute that into the first equation and solve for s:

Substitute the value of s into the equation for h and solve for h:

Hence, one hat costs $26 and one scarf costs $10.

ANSWER

EXPLANATION

To find the balance on Santa's account, we have to subtract the amount he owed from the amount on the check he sent.

Therefore, the balance on Santa's account is:

That is the answer.

Answer:18 and 1/3

Step-by-step explanation:22

3

(15)

6

=

55

3

(Decimal: 18.333333) and then as a mixed number is: