Find the EXACT distance between the two points.

(5,−4) and (3,5)

[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)

[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.

The correct option is f(x) = –2(x – 2)(x – 4).

Given:

The x-intercepts at (2, 0) and (4, 0).

The y-intercept of (0, –16).

The nature of the graph is quadratic curve. Write the general equation for x-intercept.

[tex]y=a(x-2)(x-4)[/tex]

Where is [tex]a[/tex] number

Substitute 0 for [tex]x[/tex].

[tex]y=a(0-2)(-4)\\y=8a[/tex]

We have y-intercept of (0, –16).

[tex]-16=8a\\a=-2[/tex]

The equation would be,

[tex]f(x) = -2(x - 2)(x - 4).[/tex]

Thus, the correct option is f(x) = –2(x – 2)(x – 4).

Learn more about equitation here:

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Answer:

11

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."

Hope This Helps :)

Is this u asking a question or just saying 15 points in 4 quarters?

Answer:

c = 8

Step-by-step explanation:

c - 12 = -4

Add 12 on both sides

c = 12 + (-4)

c = 8

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

a = 6

Check:

from the first eq.

6 + (-4) = 2

6 - 4 = 2

Answer:

10/3

Step-by-step explanation:

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex]\bf \huge \: Equation \: provided:[/tex]

[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]

[tex]\bf \huge \: Solution:[/tex]

[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]

[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]

[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]

[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]

[tex] \bf \: On \: Simplification:[/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]

[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]

[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]

[tex]\bf On \: Simplification:[/tex]

[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]

[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]

[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]

______________________________________

[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]

[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]

Answer:

6x + 3y

Step-by-step explanation:

3(2x - y) + 6y ← distribute parenthesis by 3

= 6x - 3y + 6y ← collect like terms

= 6x + 3y

[tex]\huge\boxed{Hi\: there!}[/tex]

Here, we use the Distributive Property:

[tex]a(b+c)=ab+ac[/tex]

3(2x-y)+6y=6x-3y+6y

Combine like terms:

6x+3y

[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]

[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]

Answer:

the mmic is back still swords rund eep

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

In mathematics, a constant rate of change is a rate of change that stays the same and does not change.

Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

Area =[tex]\pi r^{2}[/tex]

The diameter is double the length of the radius

7 ÷ 2 = 3.5

3.5 × 3.5 = 12.25

[tex]12.25\pi[/tex] = 38.4845100064751

38.4845100064751 rounded to the nearest tenth is 38.5

Answer:

A = 38.5 sq meters

Step-by-step explanation:

A = πr²

since diameter is 7, then radius is 7/2

A = π(7/2)²

A = 38.48

A = 38.5 rounded to nearest tenth

Answer:

4)ASA

6) ASA

2) SSS

8) SAS

Step-by-step explanation:

numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA

number 2 is SSS because all 3 sides are congruent

number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS

hope that helps and I apologize about earlier

have a wonderful day!

Answer:

Step-by-step explanation:

We have two parallel sides.

This gives us two pairs of alternate interior angles and one pair of vertical angles.

In total 3 congruent angles. This is not enough to state congruence.

None

We have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

Similarly to above question, we have two pairs of congruent angles and an included common side.

This is good to state the triangles are congruent by ASA

We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.

We can state the triangles are congruent by ASA as the congruent side is included.

Answer:

the answer is

Step-by-step explanation:

p, price per pound of cheese

The required price per pound of cheese is approximately $0.11.

The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.

Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:

$15 - $3 = $12

To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:

price per pound of cheese = total cost of cheese/number of pounds of cheese

Plugging in the values we know, we get:

price per pound of cheese = $12 / 112 pounds

price per pound of cheese = $0.11

Therefore, the price per pound of cheese is approximately $0.11.

Learn more about simplification here:

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#SPJ3

Answer:

jjjjStep-by-step explanation:

Answer:

The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.

Step-by-step explanation:

<B=180°-70°-50°=60°

hope this helps you.

Answer:

12

Step-by-step explanation:

First, you have to graph (which I sadly cannot provide an image of)

Then look at the vertical height which is 4, the how long it is which is 6.

So A=1/2*6*4=12

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 200(0.06) = 12[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]

The mean of X is of 12, with a standard deviation of 3.36.

A similar problem is given at https://brainly.com/question/12473640

Answer:

the domain is -11,10 but i didnt know if you wanted that or not

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

5(x+1) = 12

5(x+1) = 5x + 12

5(x+1) = 5x + 5

5(x=1) = 0

what one is an infinite solution

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

t = 6 years

Step-by-step explanation:

Use the simple interest formula:  i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.

Here we want to know how long it will take for the interest alone to reach $449.40.  We first solve i = prt for t, obtaining t = i/(pr).

Here, the length of time is t = ($449.40) / (0.06*$1498.00).  This works out to

t = 5.9947, or approximately 6 years.

t = 6 years

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

Answer:

902,800,000

Step-by-step explanation:add the 5 zeros from 100,000 to 9,028