What is the distance between the polnts (3, 2) and (15, 16) on a coordinate plane?

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=6x-27&(1)\\y=4x-17&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\6x-27=4x-17\qquad\text{add 27 to both sides}\\6x=4x+10\qquad\text{subtract}\ 4x\ \text{From both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5\\\\\text{Put it to (2):}\\\\y=4(5)-17\\y=20-17\\y=3[/tex]

Answer:

volume

Step-by-step explanation:

volume is measured in cubic

Answer:

A. Volume

Step-by-step explanation:

IN two-dimension space we use to calculate area, perimeter but not volume.

In three-dimensional space we also find Volume, Surface area and lateral surface area only.

In volume we find what amount of substance kept inside that container/solid.

Perimeter is the length of total boundary.

Surface area is total area of each face.

And, In Lateral surface area we find the area of each face except bottom and top face.

Thus, "the amount of three-dimensional space  inside a solid" is described by VOLUME.

Answer: Y = -3x-2

Step-by-step explanation:

if there are two co-ordinates (x1,y1) and (x2,y2).

If the line is passing through these co-ordinates

Then Slopw of the line  = (y2-y1)/(x2-x1)

We have one co-ordinate (-0,-2) let it be (X1,Y1)

Let second co-ordinate be (X,Y)

Slope = -3 = (Y-(-2)) / (X-0)

-7  = (Y+2)/(X)

Y+2 = -3 (X)

Y+2 = -3X

ADDING -2 ON BOTH SIDES OF THE EQUATION

Y+2-2 = -3X-2

Y = -3x-2

Answer:

50

Step-by-step explanation:

Add up the two known angle measurements:

95+35=130

Subtract this number from 180°:

180-130=50

Write down your answer

95+35+25=180

*The three angles should add up to 180° for the triangle to exist*

I hope that helped

Answer:

[tex]\large\boxed{A.\ \left\{\begin{array}{ccc}-3x+y=12\\-2x+4y=18\end{array}\right}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}-3x+y=12\\x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-2x+4y=18\\\\\text{therefore}\\\\\left\{\begin{array}{ccc}-3x+y=12\\-2x+4y=18\end{array}\right[/tex]

Using the equation of the sum of the system of equations and the first equation of the system, the equivalent system of equations is:

-3x + y = 12

-2x + 4y = 18

(Option A)

Given the system of equations:

Add Eqn. 1 and Eqn. 2 together:

-3x + y = 12

x + 3y = 6 (ADD)

-2x + 4y = 18

Therefore, using the equation of the sum of the system of equations and the first equation of the system, the equivalent system of equations is:

-3x + y = 12

-2x + 4y = 18

(Option A)

Learn more about equivalent system of equations on:

https://brainly.com/question/1869465

Answer:

2

Step-by-step explanation:

Look at two points on the graph that are easy to read.

(0, 0) and (1, 2) are on the graph and are easy to read.

slope = (y2 - y1)/(x2 - x1) = (2 - 0)/(1 - 0) = 2/1 = 2

Answer:

-2

Step-by-step explanation:

Let's get two coordinate points and plug into the slope equation.

(1,2) and (.5,1)

[tex](y_{2} - y_{1})  / (x_{2} - x_{1} )[/tex]

(1-2) / (.5 - 1)

1 / (-.5)

-2

Check the picture below.

Answer:

Step-by-step explanation:

If the circle inscribed in a quadrilateral, then the sums of the opposite sides of the quadrilateral are the same.

Therefore we have the equation:

AB + CD = BC + AD

Therefore the perimeter of polygon ABCD is equal to

P = 2(AB + CD)

Substitute AB = 10.5cm, CD = 12.5cm:

P = 2(10.5cm + 12.5cm) = 2(23cm) = 46cm

Answer:

See below.

Step-by-step explanation:

You didn't need to.

The angle adjacent to angle x = 45 degrees (alternate interior  angle to the angle marked 45).

So x = 180 - 45 = 135 degrees.

Answer:

C. 135

Step-by-step explanation:

In the figure above, line M is parallel to line N. The value of x is 135.

x = 180 - 45 = 135

Answer:

If you choose any value for k other than 6, that will be give you the one solution.

If k=6, you have no solutions because the lines will be parallel.

Step-by-step explanation:

We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.

kx+2y=5

Subtract kx on both sides:

    2y=-kx+5

Divide both sides by 2:

     y=(-k/2)x+(5/2)

The slope is -k/2 and the y-intercept is 5/2

3x+y=1

Subtract 3x on both sides:

     y=-3x+1

The slope is -3 and the y-intercept is 1.

We want the system to have one solution so we want the slopes to be difference.

So we don't want (-k/2)=(-3).

Multiply both sides by -2: k=6.

We won't want k to be 6.

Answer:

B. [tex](x^2 + 5)(x + 1)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Now we can combine the like factors:

The answer is Option B.

Answer:

884. D

885. C ( changed my answer)

886. B

887.A

For number 844, the diameter if the fan is 12 inches. To find Circumference, multiply the radius by two and then pi. The radius of the fan is 6, multiplied by 2 is 12, and multiplied by pi gives 12 times pi.

885 says half of the area gives the circumference. So we can write a formula, (pi*r^2)/2=2*pi*r. If the radius were 4, this would make the equation true. So the answer is 4.

886. Circumference=2*pi*r

r=6.78

2*pi*6.78

13.56*pi

887.

3*3=9

13-3=10

10*23=230

230+9=239 units squared

Answer:

884.D

885.C

886.B

887.A

Step-by-step explanation:

I just multiplied

Answer:

The total length of the molding is 21 feet and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The length of the two pieces are 8 feet 7 inches and 12 feet 11 inches

- Each foot has 12 inches

- Lets change the lengths of the two pieces to inch

# First piece 8 feet 7 inches

∵ 1 foot = 12 inches

∴ 8 feet 7 inches = 8 × 12 + 7

∴ 8 feet 7 inches = 96 + 7

∴ 8 feet 7 inches = 103 inches

# Second piece 12 feet 11 inches

∵ 1 foot = 12 inches

∴ 8 feet 7 inches = 12 × 12 + 11

∴ 8 feet 7 inches = 144 + 11

∴ 8 feet 7 inches = 155 inches

- To find the total length add the two answers

∴ The total length of the molding = 103 + 155 = 258 inches

- Divide the answer by 12 to change it to feet

∵ 258 ÷ 12 = 21.5 feet

- To change it to feet and inch multiply 0.5 feet by 12

∵ 0.5 × 12 = 6 inches

∴ The total length of the molding is 21 feet and 6 inches

Answer:

[tex]\large\boxed{h(x)=x^3}[/tex]

Step-by-step explanation:

[tex]f(x)=(4x^2-11)^3\\\\f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=4x^2-11\\\\f(x)=(\underbrace{4x^2-11}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3[/tex]

Answer:

the person on top is correct

Step-by-step explanation:

Answer:

{x,y} = {3,1}

Step-by-step explanation:

// Solve equation [1] for the variable  x  

 [1]    x = -2y + 5

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+5) + 5y = 14

  [2]     - y = -1

// Solve equation [2] for the variable  y  

  [2]    y = 1

// By now we know this much :

   x = -2y+5

   y = 1

// Use the  y  value to solve for  x  

   x = -2(1)+5 = 3

Solution :

{x,y} = {3,1}

For this case we have the following system of equations:

[tex]x + 2y = 5\\3x + 5y = 14[/tex]

To solve, we multiply the first equation by -3:

[tex]-3x-6y = -15[/tex]

We add the equations:

[tex]-3x + 3x-6y + 5y = 14-15\\-y = -1\\y = 1[/tex]

We look for the value of the variable "x":

[tex]x + 2 (1) = 5\\x + 2 = 5\\x = 5-2\\x = 3[/tex]

Thus, the solution of the system is (3,1)

Answer:

(3,1)

Answer:

9

Step-by-step explanation:

Good ol' PEMDAS

First things first, we simplify what is in the parentheses.

4/2 ÷ 2 + (3² - 1)

4/2 ÷ 2 + (9 - 1)

4/2 ÷ 2 + 8

Next we do division. Because there are two instances of division, we work left-to-right. Note that a fraction such as 4/2 is division itself.

4/2 ÷ 2 + 8

2 ÷ 2 + 8

1 + 8

Lastly, it just solving the addition.

1 + 8 = 9

the answer would be 9

Answer:

The correct option is C.

Step-by-step explanation:

From the given information it is clear that the total number of divers in a group is 9.

The number of selected divers is 4.

The total ways to select r items from total n item is

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Using this combination formula, the number of different teams of four divers that can be selected from a group of nine divers is

[tex]^9C_4=\frac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\frac{9!}{4!5!}[/tex]

[tex]^9C_4=\frac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

Cancel out common factors.

[tex]^9C_4=126[/tex]

Therefore the correct option is C.

The correct answer is c. 126 different teams of four divers can be selected from a group of nine divers.

To solve this problem, we use the concept of combinations from combinatorics. A combination is a way of selecting items from a collection, such that the order of selection does not matter. In this case, we want to find out how many different ways we can select 4 divers out of 9 to form a team, and the order in which we select the divers does not matter.

The formula for calculating combinations is given by:

[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]

For our problem:

[tex]- \( n = 9 \) (the total number of divers)\\ - \( k = 4 \) (the number of divers we want to select for a team)[/tex]

Plugging these values into the formula, we get:

[tex]\[ C(9, 4) = \frac{9!}{4!(9-4)!} \] \[ C(9, 4) = \frac{9!}{4!5!} \] \[ C(9, 4) = \frac{9 \times 8 \times 7 \times 6 \times 5!}{4 \times 3 \times 2 \times 1 \times 5!} \] \[ C(9, 4) = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} \] \[ C(9, 4) = \frac{3024}{24} \] \[ C(9, 4) = 126 \][/tex]

Therefore, there are 126 different ways to select a team of four divers from a group of nine divers.

Answer:

30

Step-by-step explanation:

Answer:

[tex]\large\boxed{BC=\sqrt{13}}[/tex]

Step-by-step explanation:

[tex]\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\\\\a^2+b^2=c^2.\\\\\text{We have:}\ 2<3<\sqrt{13}\\\\\text{Substitute:}\\\\2^2+3^2=(\sqrt{13})^2\qquad\text{use}\ (\sqrt{a})^2=a\\4+9=13\\13=13\qquad\bold{CORRECT}\\\\\text{The hypotenuse is the longest side of a right triangle.}\\\text{Therefore}\ BC=\sqrt{13}[/tex]

Answer:

yes

Step-by-step explanation:

7 * 6 = 42

Answer:

B. 62.5 m

Step-by-step explanation:

∠EDF and ∠ADC are vertical angles, and therefore equal.

EF and AC are parallel, so ∠DEF and ∠DAC are alternate interior angles, as well as ∠DFE and ∠DCA.  Therefore, each pair is equal.

From this, we can say ΔDEF and ΔDAC are similar triangles.  So we can write a proportion:

10 / 20 = DB / 125

DB = 62.5

Answer:

The correct option is B.

Step-by-step explanation:

Given information: In ΔEDF, FE=20 m and height = 10 m. In ΔADC, AC=125 m.

From the given information, we conclude that AC║EF.

In ΔEDF and ΔADC,

[tex]\angle E=\angle A[/tex]          (Alternate interior angles)

[tex]\angle EDF=\angle ADC[/tex]          (Vertically opposite angle)

By AA rule of similarity,

[tex]\triangle EDF\sim \triangle ADC[/tex]

The corresponding sides of two similar triangles are similar. So in ΔEDF and ΔADC,

[tex]\frac{base}{height}=\frac{FE}{h}=\frac{AC}{DB}[/tex]

[tex]\frac{20}{10}=\frac{125}{DB}[/tex]

[tex]2=\frac{125}{DB}[/tex]

On cross multiplication, we get

[tex]2DB=125[/tex]

Divide both sides by 2.

[tex]\frac{2DB}{2}=\frac{125}{2}[/tex]

[tex]DB=62.5[/tex]

Therefore the correct option is B.

Answer:

B) A linear pairs consists of supplementary angles

Step-by-step explanation:

First let's see the definition of linear pair.

The two adjacent angles add up to 180° (supplementary) is called linear pair.

Example:

If ∠A and ∠B said to be linear pair, then they must be adjacent angles and add up to 180 degrees.

∠A + ∠B = 180°

From the definition, we can find the answer.

A) in correct because complementary angles add up to 90 degrees.

B) Correct (A linear pair consists of supplementary angles)

C) In correct because the pair consists of adjacent angles

D) In correct because vertical angles is nothing but 90°

Answer:

c=13.2 units

Step-by-step explanation:

step 1

Find the measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

substitute the given values

16°+49°+C=180°

65°+C=180°

C=180°-65°=115°

step 2

Find the measure of c

Applying the law of sines

c/sin(C)=a/sin(A)

substitute the given values and solve for c

c/sin(115°)=4/sin(16°)

c=4(sin(115°))/sin(16°)

c=13.2 units

[tex]|y-2|<10\\y-2<10 \wedge y-2>-10\\y<12 \wedge y>-8\\y\in(-8,12)[/tex]

Answer:

1,2, 1,203, 12,03, 12,3, 12,301

Step-by-step explanation:

1,2 → 1,200

1,203

12,3 → 12,300

12,301

I am joyous to assist you anytime.

Ordered from least to greatest:

Answer:

[tex]\large\boxed{(6r-1)(-8r^3)=-48r^4+8r^3}[/tex]

Step-by-step explanation:

[tex](6r-1)(-8r^3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(6r)(-8r^3)+(-1)(-8r^3)\qquad\text{use}\ (a^n)(a^m)=a^{n+m}\\\\=-48r^{1+3}+8r^3\\\\=-48r^4+8r^3[/tex]

The product of the binomials (6r-1) and (-8r-3) is obtained using the FOIL method, and the final product is -48r² - 10r + 3.

To find the product of the binomials (6r-1) and (-8r-3), we use the distributive property (also known as the FOIL method). The FOIL method stands for First, Outer, Inner, Last, which refers to the multiplication of the respective terms in each binomial.

Applying the FOIL method:

First: Multiply the first terms in each binomial: 6r * -8r = -48r²

Outer: Multiply the outer terms in each binomial: 6r * -3 = -18r

Inner: Multiply the inner terms in each binomial: -1 * -8r = 8r

Last: Multiply the last terms in each binomial: -1 * -3 = 3

Now, combine the like terms (-18r + 8r = -10r) and write the final product: -48r² - 10r + 3

Answer:

True

Step-by-step explanation:

Take 4/11 and you get 0.363636363636, which is the same if you take 12/33.  So the proportion of the two is the same.

Answer:

True

Step-by-step explanation:

To find out if the proportion is true you have to find out what multiplied by 4 equals 12.

To find that out you have to divide 12 by 4 which equals 3.

Now you have to do the same for the denominators. So, 33/11 equals 3.

The proportion is true because the numerator and denominator are both multiplied by 3 to get 12 to 33.

Answer:

1 2/5 times as much as his sister

Step-by-step explanation:

3 1/2x * 2/5 = 1 2/5x

Answer:

6 is constant of the function .

Step-by-step explanation:

Given : f(x)=8x²−7x+6.

To find :  What is the constant of the function?

Solution : We have given that  f(x)=8x²−7x+6.

Standard quadratic equation : ax² +bx +c = 0.

Here,

a is the coefficient  of x² and b is the coefficient of x .

c = constant.

Hence on comparing with it standard quadratic equation

Here, 6 is constant.

Therefore, 6 is constant of the function .

Answer:

A, B, D are equations representing a linear function

Step-by-step explanation:

All linear functions have an equation like the following: y=mx+b, where m is the slope and b is an offset.

A. y=x-4, m=1 and b=-4

B. y=x+4, m=1 and b=4

D. y=x+7, m=1 and b=7

The third eq dont behave like a linear function since there is quadratic term on one side of the equation, this is not a linear function

Answer: 4 meters.

Step-by-step explanation: You need to set up the Pythagorean Theorem, which is a^2 + b^2 = c^2. The c is the hypotenuse. A is 3 because it is the height. We are trying to find b, the distance from the flower to the tree. C is 5.

Plug in the numbers.

3^2 + b^2 = 5^2.

Simplify.

9 + b^2 = 25.

Isolate b by subtracting 9 from each side.

B^2 =16.

Square root each side.

B = 4.

The flower is 4 meters away from the base of the tree.