A triangle has 2 sides of length 2 and 18 what compound inequality describes the possible lengths for the third side length

The equation of line in slope intercept form is,

⇒ y = x - 2

When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 11

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 0) and (0, -2).

Now,

Since, The equation of line passes through the points (2, 0) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

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

m = - 2 / -2

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 2)

⇒ y = x - 2

And, When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 2 - 9

⇒ y = x - 11

Therefore, The equation of line in slope intercept form is,

⇒ y = x - 2

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Answer:

1. So $7 per hour

For 24 hour =7×24= $168

28-24=4

4×7=28

168+28=$196

or

For 28 hour

7×28

= $196

2. 7×112

=$784

3. To find the difference subtract

784-196=$588

Answer:

196; 784; 588

Step-by-step explanation:

If we chosen the one year subscription we have to pay  7.49 per each month.

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one.

Given,

The cost of an online newspaper is 7.99

And if we bought the one year subscription the cost is 89.88

Let the the cost of the each month if we bought the one year subscription be x .

for one year the cost is 89.88

for one month could be

that is, x = 89.88/12

x = 7.49

Hence , If we chosen the one year subscription we have to pay  7.49 per each month.

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Answer:

Its an isosceles triangle..

Step-by-step explanation:

The term given to us is 4 , this is a constant number therefore this cannot be regarded as a polynomial.

An expression is said to be a polynomial if it also contains a variable along with constants which are joined with each other through various mathematical operations. These expressions usually have more than one terms.

A polynomial can be of various degrees such as one degree , two degree based upon that they are known as linear , quadratic , cubic polynomial etc. Unlike terms are polynomial terms in which the variables are different and also the same variables with different powers. Contrary terms are two or more terms that are not synonymous.

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Answer:

B

Step-by-step explanation:

Answer:

230.86 / 23.8 =9.7 inches-half of the base.

9.7 x 2 =19.4 inches-the length of the base.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

Answer:

6+x > 20

Step-by-step explanation:

solving the inequality-

subtract 6 from sides.

it is x> 14

Julie sold more than 14 items after the first week of the fundrai.

have a great Day!

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area  

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

So your answer is B. 20%

Don't thank me this was easy.

Answer:

Median

Step-by-step explanation:

Mean: Add up all the numbers, then divide by how many numbers there are.

Median: Arrange your numbers in numerical order. Count how many numbers you have. Go to the number in that position and average it with the number in the next higher position to get the median.

Mode: Put the numbers in order from least to greatest and count how many times each number occurs.

Range: The difference between the smallest and highest numbers

Answer:

Mean:

[tex]mean = \frac{(45 + 39 + 49 + 37 + 3 + 51)}{6} \\ = 37.3[/tex]

Median:

[tex]3 \: \: 37 \: \: 39 \: \: 45 \: \: 49 \: \: 51 \\ median = ( \frac{n}{2} + 1) {}^{th} \\ = ( \frac{6}{2} + 1) {}^{th} \\ = 4 {}^{th} \: value \\ median = 45[/tex]

Mode:

[tex]mode = none \\ all \: digits \: are \: repeated \: once[/tex]

Range:

[tex]range = 51 - 3 \\ = 48[/tex]

Answer:

A

Step-by-step explanation:

The two equations represents two lines that have the same slope, and so they are parallel.

this means that the two lines have no points in common

Answer:

A

Step-by-step explanation:

(x+5) is not a factor of f(x) because x = -5 does not satisfy the given equation f(x) = x³ - 4x² + 3x + 7.

Step 1. First we solve the equation x +5 = 0, we get

x = -5

Step 2. By putting the value of x = -5 in f(x) check whether we get a zero or a number other than zero.

If we get zero then x+5 is a factor of f(x) and if we get a number other than zero then x+5 is not a factor of f(x)

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0. Therefore, (x+5) is not a factor of f(x).

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Answer:

x = 17

Step-by-step explanation:

the midsegment of a triangle is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] × BC = [tex]\frac{1}{2}[/tex] × 34 = 17

so x = 17

Answer:

3.025 x 10³ sq ft

Step-by-step explanation:

Rate of speed of each cyclist is:

Alisha 10mi/hr

Jose 15mi/hr

Raul 10mi/hr

Ruthie 16mi/hr

Data given of each cyclist;

Formula used: [tex]r=\frac{d}{t}[/tex]

here,

r=rate of speed

d=distance

t=time

Alisha: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]

Jose: Distance=30mi; Time=2hr

applying the formula

[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]

Raul: Distance=40mi; Time=4hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]

Ruthie: Distance=80mi; Time=5hr

applying the formula

[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]

Alisha= 10mi/hr

Jose= 15mi/hr

Raul= 10mi/hr

Ruthie= 16mi/hr

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Answer:

your answer is going to be B: Obtuse

The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³  is 1   .

The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .

the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;

to find the coefficients we first simplify the expression ,

we get ;

= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]

= [tex]24x^{9} +y^{3}[/tex] ;

so , the numerical term with x⁹  is 24 and the numerical term with y³ is 1 .

Therefore , the coefficient of x⁹ is 24 and the coefficient of  y³ is 1 .

The given question is incomplete , the complete question is

What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?

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The 4th interval is called perfect. It is also called consonant.

In mathematics, interval means the gap between two particular numbers in where some numbers can be located.  The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.

The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.

Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.

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Answer:

Samples are indicative of the population .

Most values are close to the mean value.

Step-by-step explanation:

The normal distribution is characterized by two parameters mean and standard deviation.

The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.

We see from the figure as the mean and standard deviation increase the spread and curve change.

FALSE:   Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.

FALSE: The smaller the sample, the more the normal distribution takes on a bell curve

The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.

TRUE: Samples are indicative of the population .

The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.

Most values are close to the mean value

TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.

Which means more than 50% of the values lie 1 standard deviation of the mean.

Answer:

Length and Width

Answer:

Step-by-step explanation:

f(x)= 12x2+5 should be written as  f(x) = 12x^2 + 5; the " ^ " symbol signifies exponentiation and is mandatory.

Here's how we find the inverse function.

1.  Apply the horizontal line test.  if a horizontal line intersects the graph in more than one place, the function is not one-to-one and does not have an inverse for all x.  However, if we focus on only [0, infinity), this part of the graph does have an inverse, which we can find as follows:

2.  Replace 'f(x)' with 'y:  y = 12x^2 + 5

3.  Interchange x and y:  x = 12y^2 + 5

                                                              x - 5

4.  Solve for y:  12y^2 = x - 5;   y^2 = ------------

                                                                12

                          x - 5

               y = √(----------)

                             12