Find the distance between the two points in simplest radical form.

(−5,−4) and (−2,−6)

Answer:

f(x)=-12

Step-by-step explanation:

Since x=-4 substitute -4 into the equation

f(x)=3*-4

f(x)=-12

Hope this helped!

The representation of the equation as a standard quadratic equation is given by:

x² + 16x + 71 = 0.

The standard representation of a quadratic equation is given by:

ax² + bx + c = 0.

In this problem, the equation is:

-7 = (x + 8)²

Then:

x² + 16x + 64 = -7.

x² + 16x + 71 = 0.

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Hope this helps you

.......

The chocolate will last for 1 day, if she gets 4 more dragons

The expression can be represented using the following ratio:

Ratio = Dragons : Days : Chocolate

For the 2 dragons she has, we have:

Ratio = 2 : 12 : 300

When she gets 4 more dragons, we have:

Ratio = 6 : days : 300

Equate both ratios

6 : days = 12 : 2

Express as fraction

days/6 = 2/12

Multiply both sides by 6

days = 6 * 2/12

Evaluate

days = 1

Hence, the chocolate will last for 1 day

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Answer:

the arc length of a circle can be calculated with the radius Central angle using the arc length formula

1 length of an hour is equal to zero into hour where zero is in radian

2 length of an art is equal to zero into ratio upon 180 into hour where zero is in degree

Answer:

c

Step-by-step explanation:

You can by 24 combinations of items from the store

The given parameters are:

Cups = 3

Bowl = 4

Spoon = 2

The number of combination is:

Combination = Cups * Bowl * Spoon

So, we have:

Combination = 3 * 4 * 2

Evaluate

Combination = 24

Hence, you can by 24 combinations of items from the store

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Answer:

the inclination of the line will decrease

Step-by-step explanation:

If Cassandra changes the amount she deposits from 18 to 14, the slope changes to 14. So the new equation is M=14n + 224. The 224 is still the same, because that is the initial amount, and the new situation hasn't said anything about changing that, so it will not have any vertical translations. With that being said, as a result the slope will be less, so you can see it as "less vertical", so the inclination of the line will decrease

Answer:

For plan B to save money car rental need to drive 111.1 miles as [tex]\frac{x}{y}[/tex] expresses the average amounts of miles per day car rental drive and its obtained value is 111.1.

Step-by-step explanation:

In the question it is given that a car rental company offers two plans for renting a car.

Plan A: $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile.

Plan B: $50 per day with free unlimited mileage

It is required to find that how many miles would be needed to drive for plan B to save money. be needed to drive for plan B to save money.

Step 1 of 5

In Plan A $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile are costed so the cost of Plan A is given by following equation,

[tex]$$A=30 y+0 \cdot 18 x$$[/tex]

In Plan B $50 per day with free unlimited mileage are costed so the cost of Plan B is given by following equation,

[tex]$$B=50 y$$[/tex]

Step 2 of 5

Now comparing the obtained equations [tex]$A=30 y+0 \cdot 18 x$[/tex]

and B=50y.

[tex]$$30 y+0 \cdot 18 x=50 y$$[/tex]

Step 3 of 5

Subtract 30y from both the sides of the obtained equation 30 y+0.18x=50y and simplify using subtraction properties.

[tex]$$30 y+0 \cdot 18 x-30 y=50 y-30 y$$\\ $0 \cdot 18 x=20 y$[/tex]

Step 4 of 5

Divide both the sides of the obtained equation [tex]$0 \cdot 18 x=20 y$[/tex] by [tex]$0 \cdot 18$[/tex] and simplify using division properties.

[tex]$$\begin{aligned}&\frac{0 \cdot 18 x}{0 \cdot 18}=\frac{20 y}{0.18} \\&x=\frac{1000 y}{9}\end{aligned}$$[/tex]

Step 5 of 5 save money car rental need to drive 111.1 miles.

[tex]$$\begin{aligned}&\frac{x}{y}=\frac{1000 y}{9 y} \\&\frac{x}{y}=111.1\end{aligned}$$[/tex]

Answer:

24

Step-by-step explanation:

140 times .25 = 35

140 + 35 = 175

4,200 divided by 175 =

24

jobtestprep

The number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

A home appliance store has recently seen an increase in TV sales.

The store manager decides to raise the TV price by 25% in order to increase the store's profits.

Original price of TV = $140

Price after increasing:

= 140 + 25% of 140

= $175

The number of TV bought post-raise for $4,200 = 4200/175

= 24

Thus, the number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.

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Answer:

38 legs

Step-by-step explanation:

dog=4 legs

horse=4 legs

giraffe= 4 legs

duck = 2 legs

2x4+4x4+1x4+1x2

8+16+4+2=38

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Question - 1 :

[tex]\qquad \sf  \dashrightarrow \: - 2x + 3y = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2x + 3y - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: (- 2)x + (3)y + (- 6)[/tex]

comparing it to general equation, we get :

Similarly,

Question - 2 :

[tex]\qquad \sf  \dashrightarrow \: 2x = - 5y[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 5y = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2)x + (5)y + 0 = 0[/tex]

comparing it with general equation, we get :

Answer:

[tex]x=6+8i[/tex]

[tex]x=6-8i[/tex]

Step-by-step explanation:

[tex]x^2-12x+100=0[/tex]

solve by quadratic formula.

[tex]\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}[/tex]

[tex]\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]

[tex]\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]

which is

[tex]x=\frac{12+16i}{2}[/tex]

[tex]x=\frac{12-16i}{2}[/tex]

Simplify.

[tex]x=6+8i[/tex]

[tex]x=6-8i[/tex]

Solved.

Hope this helps.

A significance level of 5% (more commonly referred to as 95%) corresponds to a statement that (only) a probability of 5% or less is that a particular randomly generated observation is accepted as significant.

In this example, the p-level (the true probability that the observations are randomly generated) is less than 5% (0.0421 <0.05), so we can draw the conclusion that the observations are significant.

p = 0.0421 means that the probability is only 0421/1000. The choice of significance level to reject the null hypothesis is optional. Traditionally, 5%, 1%, and 0.1% levels have been used. In rare situations, a 10% significance level is also used.

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The equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]

The complete question is in the attached image

We have:

[tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex]

Take the LCM

[tex]\frac{\frac {2y - 4x}{xy}}{\frac{-5x + 3y}{xy}}[/tex]

Divide through by xy

[tex]\frac {2y - 4x}{-5x + 3y}[/tex]

Rewrite as:

[tex]\frac {2y - 4x}{ 3y-5x}[/tex]

Factor out 2

[tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]

Hence, the equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]

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The x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12) , Option B is the correct answer.

The x intercept is the point at which the function intersects the x axis , the point at which y = 0

The given function is

g(x) = 2sin2x +1

g(x) = 0 , for x intercept

2sin2x +1 = 0

sin 2x = -1/2

Therefore in the interval ( 0 , 2π) , the x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12)

This can also be seen in the graph attached.

Option B is the correct answer.

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Answer:

128.4°, 51.6°

Step-by-step explanation:

x + x - 76.8 = 180

2x = 256.8

x = 128.4

x - 76.8 = 51.6

Answer:

x = - 6

Step-by-step explanation:

The house would have slid 910 yards in 15 days.

A geometric progression is a sequence in which successive terms differ by a common ratio.

It is a sequence in which the ratio of two consecutive terms is a constant.

Analysis:

first term, a= 1

second term, ar = 2

third term, ar^2= 4

common ratio = ar/a = 2/1 = 2

Sum of the G.P where n = 15

sum of G.p = a([tex]\frac{r^{n} - 1}{r-1}[/tex])

= 1([tex]2^{15}[/tex] - 1)/2 - 1 = 32768 - 1 = 32768 inches

converting the inches to yard, where 1 yard = 36 inches

so 32768/36 = 910 yards

In conclusion, the house would slide 910 yards in  15 days.

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By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)

Herein we must determine what choice is false with respect to two integers, one negative and other positive. The first choice represents a false proposition as:

|a - b| = |- 5.72 - 5.25| = |- 10.97|

|a - b| = 10.97

By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)

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This histogram is skewed to the left and its distribution's center would be three (3).

A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.

In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:

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Answer:

16

Step-by-step explanation:

let x be a positive integer

mathematically, the statement: “The product of two consecutive positive integers is 194 more than the next integer” means  x(x + 1) - 194 = x + 2

………………………………

Solving the equation x(x + 1) - 194 = x + 2 for x :

x(x + 1) - 194 = x + 2

⇔ x² + x - 194 = x + 2

⇔ x² - 194 = 2

⇔ x² = 196

⇔ x = 14 or x = -14

Since -14 < 0 then the solution to our equation is x = 14

Therefore

The largest integer of the three is x + 2 = 14 + 2 = 16

Verification:

14 × 15 − 194 = 210 − 194 = 16

40.2 percent of the customers at the beauty supply store choose brand B.

An equation is an expression that shows the relationship between two or more numbers and variables.

The percent of customers that choose brand B = (number of  brand B customers / total number of customers) * 100%

The percent of customers that choose brand B = (402/1000) * 100% = 40.2%

40.2 percent of the customers at the beauty supply store choose brand B.

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Step-by-step explanation:

* start by finding the gradient/ slope of the line using the two points*

after finding the gradient you can now use the formula/ equation of any straight line which is *y = m×x + c*

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What is the slope of the line passing through the point (1,2) and (5,4)

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

Formula used, here  [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex]

_______________________________________________________

[tex]\bf{\dfrac{4-2}{5-1}[/tex] | simplify

[tex]\bf{\dfrac{2}{4}[/tex] | reduce

[tex]\bf{\dfrac{1}{2}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

         [tex]\bf{=Slope:\dfrac{1}{2}[/tex]

[tex]\boxed{\bf{aesthetic\not101}}[/tex]

Answer:

1/2

Step-by-step explanation:

Subtract the second point on the you axis and

By the Congruent Supplements Theorem, we can conclude that,

∠FBC ≅ ∠DBG.

What is Congruent Supplements Theorem?

The Congruent Supplements Theorem states that two angles are said to be congruent if they are supplements of the same angle or even congruent angles.

If there are 4 lines such that, right angles are created when a horizontal line with the points F, B, and G crosses a vertical line with the points A, B, and E at point B. Between angles F and B and A and G, a third diagonal line with the points D, B, and C is intersecting the other two lines at point B. At points A, C, and G, there is a fourth line that joins three other lines.

Drawing Conclusion

In case the angle FBC and angle CBG are supplementary angles, angle DBG and angle DBF are another pair of supplementary angles, and angle CBG is-congruent-to angle DBF, we can apply congruent supplement theorem and draw the following inference,

∠FBC ≅ ∠DBG

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Answer: tis B :D

Step-by-step explanation:

Answer:

not moving any spaces

Answer:

see explanation

Step-by-step explanation:

sinX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{YZ}{XY}[/tex] = [tex]\frac{\sqrt{119} }{12}[/tex]

cosX = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{5}{12}[/tex]