What is the slope of (6,0) and (1,3)

The length of the unknown leg of the triangle is 15 m.

Length of one leg = 20 m

Length of the hypotenuse= 25m

As it is a right angled triangle we can use pythogoras theorem.

Let the unknown length be y

(20) (20)  + y(y) = (25) (25)

400 + y(y) = 625

[tex]y^{2}[/tex]= 225

y = √225

y = 15

The length of the unknown leg is 15 m.

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To solve systems of equations word problems, we can delegate certain variables to subjects mentioned in the word problem. From there, we can form equations based on the given values.

Let a be the older sibling's age and b be the younger sibling's age.

We're given:

All we've done so far is translate the given sentences into equations. Now, we have to solve for b, which is the age of the youngest sibling. Solve using substitution:

[tex]a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23[/tex]

Therefore, the younger sibling is 23 years old.

23 years old.

Answer:

Step-by-step explanation:

Part B:

The center of the circumscribed circle around a triangle is equidistant from vertices of that triangle. To find the circumcenter need to draw at least two perpendicular bisectors to the sides of the given triangle. Point of intersect of them is center of the circumscribed circle.

Part C:

Coordinates of the midpoint of line BC ( y = - 1 ) are

( [tex]\frac{-6+2}{2}[/tex] , [tex]\frac{-1-1}{2}[/tex] ) = ( - 2 , - 1 ) and the equation of the line ⊥ to BC is x = - 2

Because BC is ║ to x-axis and m∠A is 90° , the center of the circle is midpoint of BC and r = [tex]\frac{BC}{2}[/tex] = 4

For the given systems we have:

1) Swap the right sides of both equations in system A.

2) No, the systems are not equivalent systems.

The two systems are:

A:

-10x - 4y = 0

-2x + 7y = 8

B:

-10x - 4y = 8

-2x + 7y = 0

Notice that the only different thing between the systems is that the right sides are inverted. So, if we invert the right side of A, we will get system B.

2) Are the systems equivalent?

No, the systems are not equivalent because to go from system A to system B we only modified the right side of system A, the systems would be equivalent only if modifying both sides of A gave system B, but this is not the case.

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Answer:

-28

Step-by-step explanation:

Find 5y-3 , given -3y - 8 = 7.

First, we will multiply -3y - 8 = 7 by [tex]-\frac{5}{3}[/tex] to get 5y first.

[tex]-\frac{5}{3} (-3y-8)=-\frac{5}{3} (7)\\5y+\frac{40}{3} =-\frac{35}{3} \\[/tex]

Now we will get the constant on the left side of the equation to 3.

[tex]5y+\frac{40}{3} -\frac{40}{3} =-\frac{35}{3} -\frac{40}{3} \\5y=-25\\5y-3=-25-3\\5y-3=-28[/tex]

Work Shown:

i = P*r*t

i = 200*0.05*2

i = 20

A quick mental shortcut is to double the 5% interest to get 10%, since this occurs over 2 years. Then taking 10% of something is the same as moving the decimal point one spot to the left. So we go from 200 to 20

Answer:

y – 3x2 = 3(x2 5) 1 is correct

Step-by-step explanation:

hope this helps this may be wrong

The table does not represent a function.

A function is a relationship that maps elements of the domain into elements of the range. Such that each element of the domain can be mapped into only one element of the range.

Here we have a table.

If you look at the table, you can see that the element of the domain:

x = -18

Is being mapped into two different values in the range.

Into y = -10 and y = 21.

From that, we conclude that this table does not represent a function.

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The measure of ST based on the diagram regarding the circle is 56°.

Fron the information given, angle S is equal to 34°. Also, the triangle is inscribed in a circle.

Therefore, the measure of the angle will be:

= 180 - 90 - 34

= 56°

Therefore, the measure of angle ST is 56°.

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The inequality is all real numbers.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

|3x|≥0

3x = 0

Divide both sides of the equation by the coefficient of variable

x= 0/3

x=0 = RHS

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let the value of y be 2

Now,

2y+5

2x2+5

4+5

9

Hence,proved

Using scientific notation, the measure is given as follows:

[tex]1.9 \times 10^{-10}[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

The diameter of a proton, in scientific notation, is given by:

[tex]1.9 \times 10^{-15}[/tex].

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

[tex]L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}[/tex]

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

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Answer: I'm pretty sure it is D. intervalled

explanation: Because it can never be exact each and every time

The length of AB = 18.6 .

A triangle is a polygon with three sides , angles and vertices.

It is given that ABC is a triangle such that

CAB = 90°

ABC = 30° and

AC = 9.3.

AB = ?

As the triangle is a right angled triangle

Trigonometric ratios can be used.

sin x = Perpendicular / base

sin 30 = AC / AB

(1/2) = 9.3 / AB

AB = 9.3 /0.5

AB = 18.6

Therefore the length of AB = 18.6 .

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Use multiplication:

[tex]2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}[/tex]

This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

Answer:

C  - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3)  = 3 (3)^2 - 5 = 22

g(3) =  -1

22 * -1  = -22

To solve for f(3)g(3):

* We know fg(x) means we need to multiply f with g replacing all x's with the x-value given

-22 is the answer

Hope it helps!

The arguments are valid therefore F  F →T

A truth table is a mathematical table which shows the truth values for a given set of arguments and tells if the argument is valid or invalid.

Analysis:

Argument 1( P)= if a person is on this reality show(true) T

Argument 2(Q) = the person is self absorbed true(T)

Laura is not self absorbed = False(≈Q)

Laura wont be on the reality show = False(≈P)

So she can only be on the reality show if she is self absorbed else she cannot.

so F F → T

Which means that the argument is valid.

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Answer:

There are no solutions.

Step-by-step explanation:

When you solve for x in the first equation, you get x = (-1-y)/6. Plugging this value for x into the second equation gives you -4y = 4 + y, which has no solutions.

Answer:

15

Step-by-step explanation:

5x+13+11x-73=180°( co-interior angles sum is 180)

5x+11x+13-73=180°

16x-60=180

16x=180+60

16x=240

x=15

Answer:

2262.9cm squared

Step-by-step explanation:

That's all I could do.Hope it helps.

Answer:

m<A = 20°

Step-by-step explanation:

360  160 = 200

m<A = (1/2)(200° - 160°)

m<A = 20°

The incremental profit is $175,000 and the new situation would obviously have less business risk than the old one.

First step

Profit $600,000

Add Fixed cost $3,000,000

Contribution $3,600,000

Variable Cost=Total Sales−Contribution

Variable Cost=$115,000×50-$3,600,000

Variable Cost=$2,150,000

Second step

Profit at revised cost

Sales $8,625,000

(75x $115,000)

Less: Variable cost $4,350,000

[75×($3,000,000+$500,000/50-$12,000)]

Contribution $4,275,000

Less Fixed cost $3,500,000

($3,000,000+$500,000)

Profit $775,000

Incremental profit=Profit at revised cost-Existing profit

Incremental profit=$775,000-$600,000

Incremental profit=$175,000

Expected rate of return=Incremental profit/Investment

Expected rate of return=$175,000/$4,000,000×100

Expected rate of return=$4.375%

2. Break-even point

Existing

Break-even point=Fixed cost/Contribution

Break-even point=$3,000,000/[($115,000-($3,000,000+$500,000/50)]

Break-even point=$3,000,000/[($115,000-$70,000)

Break-even point= 66.67

Revised

Break-even point=Fixed cost/Contribution

Break-even point=$3,500,000/[($110,000-($3,000,000/50)]

Break-even point=$3,000,000/[($110,000-$60,000)

Break-even point=60

II. The new situation would obviously have less business risk than the old one.

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Tommy and his father will meet after 2400 seconds or 40 minutes. So they will meet at 3:40 pm.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The time will be calculated by using the relative speed concept.

Relative speed = Speed of father - Speed of Tommy

Relative speed = 1.65 - 1.35

Relative speed = 0.3 meter per second

Relative speed = Distance / Time

0.3 = 720 / Time

Time = 720 / 0.3

Time = 2400 seconds = 2400/ 60 = 40 minutes

We know that both departed at 3 pm they will meet at 3:40 pm.

Therefore Tommy and his father will meet after 2400 seconds or 40 minutes. So they will meet at 3:40 pm.

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Answer:

They will meet at 3:04 p.m

Step-by-step explanation:

Since they are walking toward each other, that means we should add their speed together:

speed = 1.35 m/s + 1.65 m/s

          = 3 m/s

Now that we have found the speed, we can calculate the time:

time = 720 meters / 3 m/s

      = 240 seconds

      = 4 minutes ( 240 seconds is 4 minutes)

Answer:

[tex]2\frac14[/tex]

Step-by-step explanation:

Note: 18 cups of biscuit?

Anyway:

Since 5 cups of flour = 40 biscuits, 1 biscuit = [tex]\frac{1}8[/tex] cups of flour

18 biscuits = [tex]\frac{18}{8}=\frac94=2\frac14[/tex]

Answer:

13. m∠MN + m∠NMP = m∠MP.

14. m∠NMP - m∠OMP = m∠NMO.

~

15. x = 3 + y and -2y + 3 < -1 : Given

16. x > y : x = 3 + y

17. -2y < -4 : -2y < -4

18. y > 2 : y > 2

19. x > 2 : x = 3 + y and y > 2

------------------------------------------

Answer:

progress monitoring is used to access students academic and social emotional behaviour as EB progress examine rate of improvement and evaluate effectiveness of introduction are invention it is typical use with both individual students and small groups

Answer: (1.-3), (-1,-5)

Step-by-step explanation:

Substituting the x coordinates into the equation, we get that the result is equal to the y coordinate of the points.

Thus, the points lie on the line.

No issues with convergence here. If you actually expand the summand you can use the well-known Faulhaber formulas to compute the sum.

[tex]\displaystyle \sum_{i=1}^n 1 = n[/tex]

[tex]\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2[/tex]

[tex]\displaystyle \sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}6[/tex]

[tex]\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4[/tex]

and so on. You would end up with

[tex]\displaystyle L_n = \frac2n \times \frac{96-8796n^2+40283n^3-49458n^4}{n^3}[/tex]

As [tex]n\to\infty[/tex], we have [tex]L_n\to-98916[/tex].

Now, when [tex]i=1[/tex], the first term of the sum is

[tex]7(5+0)^3 - 6(5+0)^5[/tex]

so the left endpoint of the first subinterval is [tex]a=5[/tex].

At the other end, when [tex]i=n[/tex], the last term of the sum is

[tex]7\left(5+\dfrac{2(n-1)}n\right)^3 - 6\left(5+\dfrac{2(n-1)}n\right)^5[/tex]

which converges to

[tex]7(5+2)^3 - 6(5+2)^5[/tex]

so the left endpoint of the last subinterval converges to [tex]b=5 + 2 = 7[/tex].

From here it's quite clear that [tex]f(x)=7x^3-6x^5[/tex]. So, the Riemann sum converges to the definite integral

[tex]\boxed{\displaystyle \int_5^7 (7x^3 - 6x^5) \, dx}[/tex]

The range of x-values extrapolation occurs in between x < 0 and x > 6

We have given that,

On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22).

The Range is the difference between the lowest and highest values.

Therefore we can conclude that the,

range of x-values extrapolation occurs in between x < 0 and x > 6.

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