What is the slope of the line that contains the points (4, 3) and (2, 7)?​

Answer:

596.8 ft^2

Step-by-step explanation:

Answer:

596.8 feet^2

Step-by-step explanation:

The m < C  = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).

Use the formula:  Area of a triangle = 1/2 ab sinC:

Area = 1/2 * 35 * 35 * sin 103

= 596.8 feet^2.

Answer:

(4,0) & (-9,0)

Step-by-step explanation:

[tex]\sqrt[3]{b^{12}}=\sqrt[3]{(b^4)^3}=b^4[/tex]

Answer:

t = 13.1576  years

Step-by-step explanation:

The situation can be modeled as

P = Po.(1-r)^t

Where

t is the years transcurred

Po is the initial amount

r is the rate of change

Po = 40000

r = 10% equivalent to 0.1

Now

A quarter of the original amount

(1/4)*Po = Po.(1-r)^t

(1/4) = (0.9)^t

t = 13.1576

Please, see attached picture

Answer:

The ordered pair for the system of equations is (x,y) i.e (4,7)

Step-by-step explanation:

Ordered pair is the represented as (x,y) i.e value of x and value of y.

We are given system of equations:

2x+4y=36      eq(1)

6x+2y=38     eq(2)

and after solving above equations value of x is found to be 4.

We need to find the value of y.

We can find value of y by putting value of x in eq(1)

2x+4y=36

2(4)+4y =36

8+4y = 36

4y = 36-8

4y = 28

y = 7

So, value of y is 7

The ordered pair for the system of equations is (x,y) i.e (4,7)

Answer:

The ordered pair is: (4, 7)

Step-by-step explanation:

We have the following system of equations

[tex]2x+4y=36[/tex]

[tex]6x+2y=38[/tex]

To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.

We already know that x = 4.

Then we substitute the value of x in any of the two system equations and solve for the variable y.

[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]

The ordered pair is: (4, 7)

Answer:

The values are 9 and 8

Step-by-step explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y  is x-y=1

x+y=17  (this is equation 1)

x-y=1     (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x   =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}

Answer: Participation bias

Step-by-step explanation: He chose to only use his own church instead of using a number of different denominations.

Answer:

The answer is x = 7

Step-by-step explanation:

3(x+2) - x + 8

Open the bracket

3(x + 2) distribute

3x + 6

3x + 6 - x + 8

combine the like terms

3x - x + 8 + 6

2x + 14

Please mark me as brainliest

First you must distribute the 3 to the numbers inside the parentheses, which would be x and 2...

(3 * x) + (3 * 2) - x + 8

3x + 6 - x + 8

Now you must combine like terms. This means that first numbers with no variables go together. Then the numbers with the same variables must be combined...

no variable combination:

3x + 6 -x + 8

6 + 8 = 14

3x - x + 14

same variable combination:

3x - x + 14

3x - x = 2x

2x + 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

4/5 divided by 8 = 4/(5*8) = 1/10

1: 8/10 divided by 8 = 8/(10*8) = 1/10

2: 8/5 divided by 4 = 8/(5*4) = 4/10

3: 5/4 multiplied by 8 = (5*8)/4 = 100/10

4: 4/5 multiplied by 8 = (4*8)/5 = 64/10

So the answer is 1.

Step-by-step explanation:

To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.

Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:

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Answer:

90 degree Clockwise Rotation

Step-by-step explanation:

Look at the figure and its points. When you rotate the paper clockwise, you will see that D'E'F is in the same position as DEF.

Answer:

90 degree anti-clockwise rotation

Step-by-step explanation:

if you turn the paper anti-clockwise, u can see that DEF is turned into D'E'F.

Answer:

B

Step-by-step explanation:

5x+2x=7x

4-1=3

The answer is 7x + 3

Answer:

The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX

Step-by-step explanation:

Answer:

6x + 3x^2 +4

Step-by-step explanation:

Your wanting like terms/linear equations? If so then:

(3x+2) (3x^2 + 4) =

3x + 3x^2 + 3x + 4, Like terms

6x + 3x^2 +4 is your answer.

Hope my answer has helped you!

Well, it is 3 polynomials so let’s break it down first.

(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)

Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.

Ans: (-7x*4 -3x*2 y*2 + 7y*4)

Now let’s add it with the last one.

The answer is: -6x*6 +3x*3 y*3 -6y*6

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

A polynomial  can be defined as  a mathematical expressions made up of indeterminate and coefficients and involving only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

It is given in the question to add the polynomials

- 3x - 2xy + y²

- 4x² - xy +6y²

x²+ 6xy- y²

Adding the coefficients of like variables having same coefficients.

3x - 2xy + y² + (- 4x² - xy +6y²) + ( x²+ 6xy- y² )

3x -2xy+y² -4x² - xy +6y² + x²+ 6xy- y²

3x +3xy +4y²-3x²

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

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Answer:

Answer:

it's A (-2.3,0.5)

Step-by-step explanation:

doing it

The approximate solution for the system of equations are (- 2.3, 0.5).

We have to given that,

The system of equations are,

8x - 10y = -23

And 9x + 10y = -16

Now, Solve the equation by substitution method as,

8x - 10y = -23  .. (i)

9x + 10y = -16  .. (ii)

From (ii);

10y = - 16 - 9x

Substitute above value in (i);

8x - (- 16 - 9x) = - 23

8x + 16 + 9x = - 23

17x + 16 = - 23

17x = - 23 - 16

17x = - 39

x = - 39/17

x = - 2.3

From (i);

8 × - 2.3 - 10y = - 23

- 18.4 - 10y = - 23

- 18.4 + 23 = 10y

4.6 = 10y

y = 4.6/10

y = 0.46

y = 0.5

Therefore, Solution is, (- 2.3, 0.5)

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Answer:

51,013.84 kilometers

Step-by-step explanation:

1 kilometer= .6214

So you have to divide 31,700 by .6214

You get 51,013.839 or round it to 51,013.84

Answer:

51,013.839

Step-by-step explanation: you have to convert to kilometers

Answer:

140 square inches

Step-by-step explanation:

An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.

A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.

Given that,

dimensions of the base is  8 inch by 6 inch and height is 5 inch. That means,

L=8,w=6,h=5

8+8+6+6=28,

then you multiply it by the height so it would be 28x5=140

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Answer:

f(x) = 6x + 9

Step-by-step explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

Answer:

A. [tex]f(x)=6x+9[/tex]

Step-by-step explanation:

We have been given an equation [tex]y-6x-9=0[/tex]. We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

[tex]y-6x-9=0[/tex]

[tex]y-6x+6x-9=0+6x[/tex]

[tex]y-9=6x[/tex]

[tex]y-9+9=6x+9[/tex]

[tex]y=6x+9[/tex]

Now, we will replace [tex]y[/tex] with [tex]f(x)[/tex].

[tex]f(x)=6x+9[/tex]

Therefore, our required function would be [tex]f(x)=6x+9[/tex] and option A is the correct choice.

Answer:

x veries directly to y means that

x=ky. k is solved for which is substituted into the equation.

Final answer:

To describe the situation where x varies directly with y, one uses the equation y = kx, where k is the proportionality constant signifying the ratio between y and x.

Explanation:

The student is asking for a general formula to describe the situation where x varies directly with y. When two quantities vary directly, as one increases, the other increases as well, and the relationship between them can be described by a directly proportional relationship. This can be expressed with the equation y = kx, where k is the proportionality constant. The value of k remains constant within any given relationship, indicating how much y changes in response to a change in x. If y is plotted against x on a graph, you would obtain a straight line that passes through the origin, reflecting the direct proportionality.

Answer:

In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:

(10+7)(100+40+4)

Step-by-step explanation:

We are given an expression 17(144) that we have to evaluate let us say without using the calculator.

Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.

Julia would rewrite the expression as:

(10+7)(100+40+4)

Then solve it using distribution method as follows:

10(100+40+4)+7(100+40+4)

1000+400+40+700+280+28

= 2448

The answer to this question is C. 17(100)+17(40)+17(4)

The way i got this answer was that i actually have done this question on a test and Was able to get it for you.

Heyyyyyyyyyyyy

12 is to 7 is the answer

Idlkkk

The probability of hitting the soccer goal drawn onto the wall is approximately 45%, given that the soccer shots are completely random.

The subject of this question is probability, which is part of mathematics. The scenario describes a soccer training drill where the aim is to hit a goal that has been drawn onto a wall. The goal's dimensions are 21 feet by 7 feet, and the wall's dimensions are 36 feet by 9 feet.

In order to calculate the probability of hitting the target goal, we first need to calculate the area of the goal and the area of the wall. The area of the goal is obtained by multiplying the length by the height (21ft x 7ft = 147ft^2). Similarly, the area of the wall is 36ft x 9ft = 324ft^2.

Now that we have the areas, the probability of hitting the goal can be calculated by dividing the area of the goal by the area of the wall. That is, 147ft^2/324ft^2 = 0.4537, or approximately 0.45 or 45% when converted into a percentage.

Therefore, given that the shots are completely random, there is a 45% probability that the soccer ball will hit the drawn goal on the wall.

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Answer:

There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.

Step-by-step explanation:

Final answer:

The number -12 is both an integer and a rational number, but not a whole number. The number 7/8 is a rational number but neither a whole number nor an integer.

Explanation:

We need to determine if each provided number belongs to the sets of whole numbers, integers, or rational numbers.

-12

-12 is an integer because it is a whole number that can be positive or negative, including zero. Since all integers are also rational numbers (they can be written as a ratio of integers, for example, -12 can be written as -12/1), -12 is also a rational number. However, it is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3,...).

7/8

7/8 is a rational number because it is expressed as the ratio of two integers (7 and 8). It is not an integer nor a whole number because it is not a whole number without a fractional or decimal component.

Answer: D: 2 units

Step-by-step explanation:

You may have mistaken the formula, as it's 2(l + w), not 1.

If we use this formula, we can say:

2([tex]\frac{2}{3} + \frac{1}{3}[/tex]) = 2(1) = 2

Therefore, the answer is 2 units.

Hope this helps! :^)

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2.   < 1 and < 4 are alternate interior angles.

3.   < 3 and < 6  are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Line d is parallel to line c in the figure.

The statements which are true are;

2. Angle 1 and Angle  4 are alternate interior angles.

3. Angle  3 and Angle 6 are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar.

(Angle 1 and Angle 4, and Angle 2 and Angle 5).

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Answer:  110°

Step-by-step explanation:

∠A ≅ ∠B  

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

     70°    + ∠Q = 180°

                 ∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

According to the question:

0 = -16t^2+32t.

0 = -16t(t-2).

So, at t=0 and t=2.

Thus, between t=0 and t=2, the ball is in the air.

Periodic notation (0,2).

Inequality notation 0<t<2.

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Answer:

The correct option is 1.

Step-by-step explanation:

The general cosine function is

[tex]y=A\cos (Bx+C)+D[/tex]

where, A is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C is phase shift and D is midline.

It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.

Amplitude of the function is

[tex]Amplitude=\frac{Maximum-Minimum}{2}[/tex]

[tex]Amplitude=\frac{6-4}{2}[/tex]

[tex]Amplitude=1[/tex]

Therefore the amplitude of the function is y=5.

Midline of the function is

[tex]Mid line=\frac{Maximum+Minimum}{2}[/tex]

[tex]Mid line=\frac{6+4}{2}=5[/tex]

Therefore the midline of the function is y=5.

It completes a full cycle in 12 hours.

[tex]Period=12[/tex] hours

[tex]\frac{2\pi}{B}=12[/tex]

Period of the function is 12 hours. Therefore the correct option is 1.

Answer:

A.  Amplitude = 1 foot; period = 12 hours; midline: y = 5