Can someone help me find the distance between the points (-5,3) and (-4,2)

Answer/Step-by-step explanation:

16. 4(x + 3) - 5 < 5x + 7

4x + 12 - 5 < 5x + 7

4x + 7 < 5x + 7

Collect like terms

4x - 5x < 7 - 7

-x < 0

Divide both sides by -1

x > 0

17. 24 > -3x

Divide both sides by -3

24/-3 < -3x/-3

-8 < x

x > -8

18. -5(2x - 6) + 3x < 2(2x + 1) - 11x

-10x + 30 + 3x < 4x + 2 - 11x

Add like terms

-7x + 30 < -7x + 2

-7x + 7x < -30 + 2

0 < -28

Answer:

A. True

Step-by-step explanation:

This statement is true. The definition of an isosceles triangle is a triangle with at least two congruent sides. Since all equilateral triangles have three congruent sides, they fit the definition of an isosceles triangle.

True my friend

jsisisosksksd

Answer:

Step-by-step explanation:

The function doesnt have an inverse. In order for a function to actually have an inverse, it has to pass the horizontal line test. The function above has repeating y-values because of the x^2.

With all this said, you can still find the inverse of the function as long as you restrict the domain (x-values) for the function. So, you cant consider the negative x-values.

First, replace f(x) with y and then switch the x and y variables

[tex]x=2y^2-4[/tex]

Then solve for y by adding 4 to both sides, dividing by 2, and finally taking the square root.

[tex]x+4=2y^2[/tex]

[tex]\frac{x+4}{2} =y^2[/tex]

[tex]\sqrt{\frac{x+4}{2} }=y[/tex]

Answer:

Where is question

Step-by-step explanation:

Step-by-step explanation:

the answer is in the attachment

Answer:

The right answer is in yellow.

Step-by-step explanation:

Took the quiz :)

Answer:

Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].

Step-by-step explanation:

When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].

However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.

Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.

[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].

Integrate with respect to [tex]x[/tex]:

[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].

In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].

9514 1404 393

Answer:

  $342.43

Step-by-step explanation:

Each year, the account value is multiplied by 1 +7.25% = 1.0725. After 6 years, the value will be ...

  $225(1.0725^6) ≈ $342.43

Answer:

t = 1/15

Step-by-step explanation:

[tex]\frac{2}{5t} = 6\\2 = 6 * 5t\\2 = 30t\\\frac{2}{30} = t\\t = \frac{1}{15}[/tex]

Answer:

4322 ft^2

Step-by-step explanation:

First, we need a formula. The formula is (50*110) - (3.14*18^2) - (4*40). The answer is 4322 ft^2 (This is the rounded answer)

Answer:

Step-by-step explanation:

Coefficients

The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5.3x - 8.2y + 11.1

The number associated with x is known as the coefficient of 'x'. And the number associated with y is known as the coefficient of 'y'.

The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.

More about the Algebra link is given below.

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Answer:

0.8, 0.875, 0.89 or 4/5, 7/8, 0.89

Step-by-step explanation:7/8 is the same as 7 divided by 8 which equals to 0.875.

4/5 is the same as 4 divided by 5 which is 0.8.

Shortest to Longest

0.875

0.89

0.8

reformed into

1. 0.8

2. 0.875

3. 0.89

Answer:

American Roulette

1. The probability of losing a  ’1st 12’ bet on a single spin is:

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

= 0.23

Step-by-step explanation:

Possible outcomes in an American Roulette wheel = 38

Make-up of the outcomes = 18 black, 18 red and 2 green

Green outcomes are numbered 0 and 00

Number of wins for this person = 12

Probability of winning = 0.33  (12/36)

Number of possible losses for this person = 24

Probability of losing = 0.67 (24/36)

1. The probability of losing a  '1st 12' bet on a single spin is:

= (36 - 12)/36

= 0.67

2. The probability of winning 7 out of the 10 total bets is:

Probability of winning = 12/36 * 7/10

= 0.23

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional

Step-by-step explanation:

thx for the free points gl

Answer:

line segment HG

line segment EF

line segment  AB

Answer:

I think it is 50

Step-by-step explanation:

Answer:

(a - √b​)

Step-by-step explanation:

Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)

Answer:

C) x=8, 9, 14, 9, 7

Step-by-step explanation:

2x-7=x+1

2x-x-7+7=x-x+1+7

x=8

Answer: C. 254

Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254

Answer:

Step-by-step explanation:

highest temp = 5.5°C

lowest temp = -3°C

-4° < -3°, so the outside temp is colder

Answer:

Explanation:

Length: (6x - 7)

Width: (5x + 2)

(6x - 7) (5x + 2)

= (6x + −7)(5x + 2)

(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)

= 30x² + 12x − 35x − 14

- PNW

Answer:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]

The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]

= (x + 2)/(x² + 2)

Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

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Answer:

60

Step-by-step explanation:

you simply do 15 ÷ .25, which you will get 60.

Answer:

60 1/4 pieces

Step-by-step explanation:

Multiply 15 x 1/4 = 60 pieces

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

Answer:

I mean 6

Step-by-step explanation:

That is the answere to you question.

Answer:

$8 originally

Step-by-step explanation:

75%= 3/4

if the price is broke up into 4 pieces we see that 3 pieces where taken off if one piece is $2 then 2+2+2+2= $8 which is the full price.

Answer:

9 horas

Explanation:

$63 por 9 horas

Cupom de descuento de $9

$63 - $9 = $54

9514 1404 393

Answer:

  55°

Step-by-step explanation:

A couple of auxiliary lines can be helpful.

We see that 45° is an exterior angle to the bottom triangle, which has remote interior angles that must total 45°. This means the interior angle at bottom left must be 45° -15° = 30°.

The upper right interior angle is alternate to that, so is the same measure. The exterior angle x to the upper triangle is then the sum of the remote interior angles:

  x = 25° +30°

  x = 55°

Answer:

245 is the answer to the question

Answer:

P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8

Step-by-step explanation:

The probability of a guest sitting in a winning section is 1/8.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.

Here, N(S) = 40 and N(H) = 5.

Therefore, We know, P(H) = N(H)/N(S).

P(H) = 5/40.

P(H) = 1/8.

Some more concepts of probability are, Conditional probability,

A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

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