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

What Is The Slope Of The Line Passing Through The Points (1, 2) And (5, 4)?

Answers

Answer 1

Answer:

[tex]\frac{1}{2}[/tex] , or the first option

Step-by-step explanation:

The formula to find the slope of a line is [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]. It doesn't matter which set of coordinates is (x₁,y₁), as long as you make sure you put them in the right places.

(x₁,y₁) = (1,2)

(x₂,y₂) = (5,4)

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]   Plug in your numbers

[tex]\frac{4 - 2}{5 - 1}[/tex]   Simplify

[tex]\frac{2}{4}[/tex]   Simplify

[tex]\frac{1}{2}[/tex]

Answer 2

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)

m = [tex]\frac{4-2}{5-1}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]


Related Questions

Classify the following triangle. Check all that apply.
70°
15.8
80°
30
15
A. Scalene
B. Acute
O
c. Obtuse
D
D. Equilateral
E. Right
OF. Isosceles
PREVIOUS

Answers

A and B apply.
The triangle, according to those measurements are scalene (sides lengths are not the same) and acute (with angles like 70,80, and 30)

Answer:

Option A and B

Step-by-step explanation:

sides of the triangle have been given as 15, 15.8, 30 units.

angles of the same triangle has been given as 70°, 80°, [180-(70+80)] or 30°.

Here we see all sides and all the angles of the given triangle have different measures ( all the three sides and angles are different )

By the definition of scalene triangle the given triangle will be scalene.

Since all three angles of the triangle are acute angles (less than 90°).

Therefore, Option A and B are correct.

What is the volume of the rectangular prism?

a rectangular prism with a length of ten centimeters, a width of four centimeters, and a height of two centimeters

70 cm3
80 cm3
90 cm3
100 cm3
Question 2(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of the rectangular prism?

a rectangular prism with a length of five inches, a width of three inches, and a height of three inches

25 in3
35 in3
45 in3
55 in3
Question 3(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a width of 2 m?

28 m3
38 m3
44 m3
48 m3
Question 4(Multiple Choice Worth 4 points)
(10.03 MC)

Which boxes have a volume of 120 cubic feet?

Box A: length of 5 ft, width of 4 ft, height of 6 ft
Box B: length of 7 ft, width of 7 ft, height of 6 ft
Box C: length of 3 ft, width of 6 ft, height of 4 ft
Box D: length of 10 ft, width of 3 ft, height of 4 ft

A, B
A, D
B, C
B, D
Question 5(Multiple Choice Worth 4 points)
(10.03 LC)

What is the volume of the rectangular prism?

a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches

96 in3
98 in3
106 in3
116 in3
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Answers

Answer:

[tex]\large\boxed{Q1.\ 80\ cm^3}\\\boxed{Q2.\ 45\ in^3}\\\boxed{Q3.\ 48\ m^3}\\\boxed{Q4.\ A,\ D}\\\boxed{Q5.\ 96\ in^3}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a volume of a rectangular prism:}\\\\V=lwh\\\\l-length\\w-width\\h-height[/tex]

[tex]\bold{Q1}\\\\l=10\ cm,\ w=4\ cm,\ h=2\ cm\\\\V=(10)(4)(2)=80\ cm^3\\\\\bold{Q2.}\\\\l=5\ in,\ w=3\ in,\ h=3\ in\\\\V=(5)(3)(3)=45\ in^3\\\\\bold{Q3.}\\\\l=4\ m,\ w=2\ m,\ h=6\ m\\\\V=(4)(2)(6)=48\ m^3\\\\\bold{Q4.}\\\\V=120\ ft^3\\\\\bold{A:(5)(4)(6)=120}\\B:\ (7)(7)(6)=294\\C:\ (3)(6)(4)=72\\\bold{D:\ (10)(3)(4)=120}\\\\\bold{Q5.}\\\\l=8\ in,\ w=4\ in,\ h=3\ in\\\\V=(8)(4)(3)=96\ in^3[/tex]

Assignment
Line AB goes through the points A (0, -4) and B (6,2). Which equation represents line
y - 4 = 3x
y-2 = 3(x – 6)
y + 4 = x
y + 6 = x - 2

Answers

Answer:

y + 4 = x

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b).

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points A(0, -4) → b = -4 and B(6, 2).

Calculate the slope:

[tex]m=\dfrac{2-(-4)}{6-0}=\dfrac{6}{6}=1[/tex]

Put the value of m and of b to the equation:

[tex]y=1x-4[/tex]         add 4 to both sides

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

What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?

Answers

Answer:

a=-2

b=4

c=-3

Step-by-step explanation:

You just compare -2x^2+4x-3=0 to

                              ax^2+bx+c=0

There is really no work here.

For this case we have that by definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

The roots are given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]

We have the following equation:

[tex]-2x ^ 2 + 4x-3 = 0[/tex]

So:

[tex]a = -2\\b = 4\\c = -3[/tex]

Answer:

[tex]a = -2\\b = 4\\c = -3[/tex]

(d) 12b + 5.65 = 12.13
*9) Keira made a round pizza that fit in a square box. What is the area, rounded to the nearest tenth of an
Inch, of the pizza?
16 inches
a. 50.3 in
b. 201.1 in
C. 402. 1 in
d. 804.2 in?

Answers

Answer:

D. 804.2

Step-by-step explanation:

The area equation is πr^2 so

16^2 = 256

256 × π (or 3.14) = 803.84

which is ≈ 804.2

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UWU have a nice day!

Find the exact circumference of a circle with diameter equal to 8 ft.

Answers

Answer:

C = 8π

Step-by-step explanation:

The circumference (C) of a circle is calculated using

C = πd ← d is the diameter

here d = 8, hence

C = 8π ft ← exact value

For this case we have by definition, that the circumference of a circle is given by:

[tex]C = \pi * d[/tex]

Where:

d: It is the diameter of the circle

We have as data that the diameter of the circle measures:8ft, then, replacing:

[tex]C = \pi * 8[/tex]

Finally, the circumference is [tex]8\pi[/tex]

ANswer:

[tex]8\pi[/tex]

What is the area of the polygon given below?

Answers

Answer:

186

Step-by-step explanation:

Cut it 6+7+11=24×5=120

6+11=66

120+66=186

Answer:  The correct option is (A) 186 sq. units.

Step-by-step explanation:  We are given to find the area of the polygon shown in the figure.

Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.

The dimensions of rectangle A are

length, l = 11 units and breadth, b = 6 units.

So, the area of rectangle A is given by

[tex]AREA_A=l\times b=11\times6=66~\textup{sq. units}.[/tex]

And the dimensions of rectangle B are

length, l' = 7 + 11 + 6 = 24 units  and  breadth, b' = 5 units.

So, the area of rectangle B is given by

[tex]AREA_B=l'\times b'=24\times5=120~\textup{sq. units}.[/tex]

Therefore, the total area of the given polygon is given by

[tex]AREA=AREA_A+AREA_B=66+120=186~\textup{sq. units}.[/tex]

Thus, the required area of the given polygon is 186 sq. units.

Option (A) is CORRECT.

please help i’m so confused! how would you simplify -2x(x-6)?

Answers

Answer:

-2x² + 12x

Step-by-step explanation:

To simplify, distribute the term outside the parenthesis (-2x) to all terms within the parenthesis. Remember to note the sign too:

-2x(x) = -2x²

-2x(-6) = +12x

-2x² + 12x is your answer.

~

Answer:

-2x²+12x

Step-by-step explanation:

Distributive Property:

       ↓

A(B+C)=AB+AC

A= -2x

B= x

C=6

-2xx-(-2x)*6

-2xx+2*6x

Simplify, to find the answer.

-2xx+2*6x

2*6=12

-2x²+12x is the correct answer.

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answers

Answer:

3y+4x=5

Step-by-step explanation:

step 1

Find the slope

we have

(–7, 11) and (8, –9)

m=(-9-11)/(8+7)

m=-20/15

m=-4/3

step 2

Find the equation of the line into point slope form

we have

m=-4/3

point (-7,11)

substitute

y-11=-(4/3)(x+7) ----> equation of the line into point slope form

Multiply by 3 both sides

3y-33=-4(x+7)

3y-33=-4x-28

3y+4x=33-28

3y+4x=5 -----> equation of the line into standard form

Answer:

I think that the answer is D

Use the substitution method to solve the system of equations write your answer as an ordered pair Y=x-2 and y=-2x+7

Answers

Answer:

(3, 1)

Step-by-step explanation:

x = y + 2

y = -2x + 7

y = -2(y +2) +7

y = -2y -4 +7

y + 2y = 3

3y = 3

y = 3/3

y = 1

x = y +2

x = 1 +2

x = 3

The value of x is 1/3 and y is -5/3. using substitution method

What is a linear equation?

A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

CALCULATION:-

Y=x-2 -----(1)

y=-2x+7 ---------(2)

putting the value of y in the equation (2)

x-2= -2x+7

x+2x=7+2

3x=9

x=9/3

x=1/9

putting the value of X in equation(1)

 Y=x-2 -----(1)

y=1/3-2

y=-5/6  

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in circle P what is the measure(in degrees) of arc ADB?

A: 270
B: 90
C: 218
D: 52

Answers

Answer:

A: 270 ,':)

Step-by-step explanation:

Answer:

the answer is A:  270

Step-by-step explanation:

Op= 360

AB= 90

Op(360)-AB(90) = 270

Square root of 8 minus square root of 9

Answers

Answer:

-0.1715

Step-by-step explanation:

What is the measure of DF?

Answers

BC= DF

B(0,2) , C(3,2)

d= (3-0)^2 + (2-2)^2
d= 9
Square root 9= 3

DF = 3
Hope this helps!

Answer:

The correct answer is second option

3.2

Step-by-step explanation:

It is given that, Coordinates of triangle ABC,

A(0, 1), B(0, 2) and C(3, 2)

ΔABC ≅ ΔDEF

Therefore we can write, AB = DE, BC = EF and AC = DF

To find the measure of DF

DF = AC

(0, 1) C(3, 2)

By using distance formula,

AC = √[(3 - 0)² + ( (2 - 1)²]

 = √(9 + 1) = 3.16≈ 3.2

which expression is equivalent to loga4a(b-4/c^4)

Answers

Answer:

[tex]\large\boxed{\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8(b-4)-4\log_8c}[/tex]

Step-by-step explanation:

[tex]\text{Use}\\\\\log_ab^n=n\log_ab\\\\\log_a(bc)=\log_ab+\log_ac\\\\\log_a\left(\dfrac{b}c{}\right)=\log_ab-\log_ac\\\\==============================[/tex]

[tex]\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8\dfrac{b-4}{c^4}\\\\=\log_84+\log_8a+\log_8(b-4)-\log_8c^4\\\\=\log_84+\log_8a+\log_8(b-4)-4\log_8c[/tex]

Answer:

answer is A

Step-by-step explanation:

bc

What is the solution to the system of equations below?

y = 1/2x - 4 and y = -2x - 9

1. (-2, -5)
2. (-2, -3)
3. (2, -3)
4. (2, -13)

Answers

4(y= 1/2x -4)

4y = 2x -16
y= -2x -9

5y = -25

Y= -5

So since there is only one answer with y= -5 the answer is A

Hope this helps!

Answer:

1. (-2, -5)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=\dfrac{1}{2}x-4&(1)\\y=-2x-9&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\\dfrac{1}{2}x-4=-2x-9\qquad\text{multiply both sides by 2}\\\\x-8=-4x-18\qquad\text{add 8 to both sides}\\\\x=-4x-10\qquad\text{add 4x to both sides}\\\\5x=-10\qquad\text{divide both sides by 5}\\\\x=-2\\\\\text{put it to (2):}\\\\y=-2(-2)-9\\\\y=4-9\\\\y=-5[/tex]

Which statement is best represented by the inequality c > 3 1/2?
A.Chef Andre used less than 3 1/2 cups of flour.
B.Chef Andre used more than 3 1/2 cups of flour.
C.Chef Andre used 3 1/2 more cups of flour than Chef Isha.
D.Chef Andre used 3 1/2 fewer cups of flour than Chef Isha.

Answers

Answer:

Option B. Chef Andre used more than 3 1/2 cups of flour.

Step-by-step explanation:

we have

[tex]c > 3\frac{1}{2}[/tex]

The solution is all real number greater than [tex]3\frac{1}{2}[/tex]

therefore

Let

c -----> the number of cups

The statement that best represented by the inequality is

Chef Andre used more than 3 1/2 cups of flour

Answer:

The answer is B

Step-by-step explanation:

The form of the partial fraction decomposition of a rational function is given below.
5x^2+3x+54/(x+3)(x^2+9)=A/x+3+Bx+C/x^2+9

Find A,B,and C

Answers

Answer:

[tex]A=5, B=0,C=3[/tex]

Step-by-step explanation:

The partial fraction decomposition is given as:

[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{A}{x+3}+\frac{Bx+C}{x^2+9}[/tex]

We collect LCD on the RHS to obtain;

[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{A(x^2+9)+(x+3)(Bx+C)}{(x+3)(x^2+9)}[/tex]

We expand the parenthesis in the numerator of the fraction on the RHS.

[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{Ax^2+9A+Bx^2+(3B+C)x+3C}{(x+3)(x^2+9)}[/tex]

This implies that:

[tex]\frac{5x^2+3x+54}{(x+3)(x^2+9)} \equiv \frac{(A+B)x^2+(3B+C)x+3C+9A}{(x+3)(x^2+9)}[/tex]

This is now an identity. Since the denominators are equal, the numerators must also be equal.

[tex]5x^2+3x+54=(A+B)x^2+(3B+C)x+3C+9A[/tex]

We compare coefficients of the quadratic terms to get:

[tex]A+B=5\implies B=5-A...(1)[/tex]

Also the coefficients of the linear terms will give us:

[tex]3B+C=3...(2)[/tex]

The constant terms also gives us;

[tex]3C+9A=54...(3)[/tex]

Put equation (1) in to equations (2) and (3).

[tex]3(5-A)+C=3\implies C=3A-12...(4)[/tex]

[tex]3C+9A=54...(5)[/tex]

Put equation (4) into (5).

[tex]3(3A-12)+9A=54[/tex]

[tex]9A-36+9A=54[/tex]

[tex]9A+9A=54+36[/tex]

[tex]18A=90[/tex]

[tex]A=\frac{90}{18} =5[/tex]

Do backward substitution to get:

[tex]C=3(5)-12=3[/tex]

[tex]B=5-5=0[/tex]

[tex]\therefore A=5, B=0,C=3[/tex]

The constants A, B, and C in the partial fraction decomposition are determined to be A = 5, B = 0, and C = 3.

To find the values of A, B, and C in the partial fraction decomposition of the rational function

Therefore, the number of adul, follow these steps:

First, express the function as: [tex](5x^2 + 3x + 54) / ((x+3)(x^2 + 9)) = A/(x+3) + (Bx + C)/(x^2 + 9).[/tex]Multiply both sides by [tex](x+3)(x^2 + 9)[/tex] to eliminate the denominators: [tex]5x^2 + 3x + 54 = A(x^2 + 9) + (Bx + C)(x + 3).[/tex]Expand and combine like terms: [tex]5x^2 + 3x + 54 = Ax^2 + 9A + Bx^2 + 3Bx + Cx + 3C.[/tex]Combine like terms: [tex]5x^2 + 3x + 54 = (A + B)x^2 + (B + C)x + (9A + 3C).[/tex]Match coefficients for corresponding powers of x:For [tex]x^2[/tex]: 5 = A + BFor x: 3 = B + CConstant term: 54 = 9A + 3CSolving these equations:From 5 = A + B, we get B = 5 - A.From 3 = B + C, substitute B: 3 = (5 - A) + C ⟹ C = -2 + A.From 54 = 9A + 3C, substitute C: 54 = 9A + 3(-2 + A) ⟹ 54 = 12A - 6 ⟹ 60 = 12A ⟹ A = 5.Substitute A into B and C: B = 0, C = 3.Thus, the values are A = 5, B = 0, and C = 3.

23 qt = ? gal ? qt
Only number 7

Answers

Answer:

5 gallons and 3 quarts

Step-by-step explanation:

There are 4 quarts in a gallon so 23/4=5 gallons and 3 quarts

Answer:

5 gal and 3 qt.

Step-by-step explanation:

What is the inverse of f(x) = 6x -24

Answers

Answer:

f^(−1)(x)= x/6+4

Step-by-step explanation:

interchange the variables and solve for  

y

Inverse of the given function f(x) is f⁻¹(x) = (x/6) + 4.

What is an Inverse function?It is defined as, for a one-one function each element of a range of an original function is mapped to the domain of an inverse function.Inverse of a given function is possible only of the original function is one-one and onto.

Given: Function

f(x) = 6x - 24

Let, y = 6x - 24

Now, to find the inverse of the given function we need to interchange the values of x and y and then we will solve for y.

⇒ x = 6y - 24

⇒ 6y = x + 24

Dividing both sides by 6, we get:

⇒ y = (x + 24)/6

y = (x/6) + 4

We can write it as:

f⁻¹(x) = (x/6) + 4

Therefore, the inverse of f(x) = 6x -24 is f⁻¹(x) = (x/6) + 4.

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A box holds 25 pounds of cans. Each can weighs 8 ounces. How many cans does each box hold?
A- 50 cans
B- 52 cans
C- 60 cans
D- 62 cans

Answers

1 pound = 16 ounces.

1 can weighs 8 ounces, so 2 cans weigh 8 +8 = 16 ounces, which is 1 pound.

Multiply total pounds by number of cans per pound:

25 pounds x 2 cans per pound = 50 total cans.

The number of cans each box hold will be 50.

How to convert ounces to pounds?

In one pound there is a total of sixteen ounces.

So it means 1 pound = 16 ounces.

Given that the weight of the can is 8 ounces it means in 2 cans there are 16 ounces which are 1 pound.

2 cans = 1 pound

Since, the box can hold only 25 pounds Hence,

25 × 2 = 50 cans so a box can hold up to 50 cans.

For more information about conversion

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what is the quotient when x^3-5x^2+3x-8 is devided by x-3

Answers

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

According to the attached image we have the quotient is:

[tex]x ^ 2-2x-3[/tex]

Answer:

[tex]x ^ 2-2x-3[/tex]

See attached image

jason left the city for vacation. Dan left 3 hours later going 87 mph faster to catch up. After 2 hours Dan caught up. What was Jason's average?

Answers

Answer:

Step-by-step explanation:

Lindsay invested $4500 at 4% interest compounded annually.

How much interest will she earn in 10 years?

$180.00

$187.27

$1800.00

$2161.10

Answers

Answer:

[tex]\$2,161.1[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\P=\$4,500\\ r=0.04\\n=1[/tex]  

substitute in the formula above  

[tex]A=\$4,500(1+\frac{0.04}{1})^{1*10}[/tex]  

[tex]A=\$4,500(1.04)^{10}[/tex]

[tex]A=\$6,661.10[/tex]    

Find the interest

[tex]I=A-P[/tex]

[tex]I=\$6,661.10-\$4,500=\$2,161.1[/tex]

Answer:

2161.10

Step-by-step explanation:

What is the point-slope equation of a line with slope -5 that contains the point (6,3)

Answers

Answer:

[tex]y-3=-5(x-6)[/tex]

Step-by-step explanation:

we know that

The equation of the line into point-slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=-5[/tex]

[tex](x1,y1)=(6,3)[/tex]

substitute

[tex]y-3=-5(x-6)[/tex] ----> equation of the line into point-slope form

an asymptote is a line that the graph of a function ___

Answers

Answer:

Option C. approaches but does not cross.

Step-by-step explanation:

In Maths, an asymptote is a line that the graph (a drawing that shows two sets of related amounts) of a function (e.g. x=1/x) approaches but does not cross (or intersect). The image below illustrates such concept.

Answer:    C. Approaches but does not cross

Step-by-step explanation:  Basically an asymptote is a line that approaches a given curve which is graph of a function, but it never touches, cross or intersect in any finite. Asymptote can be any line, horizontal, vertical, inclined, which approaches the function graph. Theoretically, according to mathematical principles,  the function graph line is approaching to a asymptote at infinity, and therefore the asymptotes are suitable as the type of guide to complete the graph of the function.

How I can resolve that problem
Solve for x
5y=3x+b

Answers

Answer:

Let's solve for x.

5y=3x+b

Step 1: Flip the equation.

b+3x=5y

Step 2: Add -b to both sides.

b+3x+−b=5y+−b

3x=−b+5y

Step 3: Divide both sides by 3.

Answer:

x=

−1

3

b+

5

3

y

Step-by-step explanation:

Please mark brainliest and have a great day!

What is the equation of a line with a slope of 4 and a y-intercept of -3

Answers

Answer:

y=4x-3

Brainly is making me reach a word maximum. But that is my answer ^

Y= 4x -3

Hope this helps!

Find the distance between points (6,5 sqaure root 2) and 4,square root 3).


Help ASAP

Answers

For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](6,5 \sqrt {2})\\(4,3 \sqrt {2})[/tex]

Substituting:

[tex]d = \sqrt {(4-6) ^ 2 + (3 \sqrt {2} -5 \sqrt {2}) ^ 2}\\d = \sqrt {(- 2) ^ 2 + (- 2 \sqrt {2}) ^ 2}\\d = \sqrt {4+ (4 * 2)}\\d = \sqrt {4 + 8}\\d = \sqrt {12}\\d = \sqrt {2 ^ 2 * 3}\\d = 2 \sqrt {3}[/tex]

Answer:

Option C

Answer: Third option.

Step-by-step explanation:

The distance between two points can be calculated with this formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Then, given the points [tex](6,5\sqrt{2})[/tex] and [tex](4,3\sqrt{2})[/tex], we can identify that:

[tex]x_2=4\\x_1=6\\y_2=3\sqrt{2}\\y_1=5\sqrt{2}[/tex]

Now we must substitute these values into the formula:

 [tex]d=\sqrt{(4-6)^2+(3\sqrt{2}-5\sqrt{2})^2}[/tex]

We get that the distance between these two points is:

[tex]d=2\sqrt{3}[/tex]

Please answer this correctly

Answers

750.626, 749.927, 749.904, 749.4, 749.37

Hope this helps!

Rebecca has 45 coins, all nickels and dimes. The total value of the coins is 3.60.How many of each type of coin does Rebecca have?​

Answers

Answer:

There are 18 nickel coins and 27 dime coins

Step-by-step explanation:

Remember that

1 nickel=$0.05

1 dime=$0.10

Let

x ----> the number of nickel coins

y ---> the number of dime coins

we know that

x+y=45

x=45-y -----> equation A

0.05x+0.10y=3.60

Multiply by 100 both sides

5x+10y=360 ----> equation B

Solve the system by substitution

Substitute equation A in equation B and solve for y

5(45-y)+10y=360

225-5y+10y=360

5y=360-225

5y=135

y=27

Find the value of x

x=45-27= 18

therefore

There are 18 nickel coins and 27 dime coins

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