[tex]Evaluating Combination Notation & Problem Solving[/tex]
Evaluate the following combinations. Write also your solutions.​

The coordinates of the triangle is plotted on the graph and the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )

Given data ,

Let the triangle be represented as ΔHIJ

Let the coordinates of the triangle be  H(0, 0), I(-3, -1), and J(-1, -2)

Now , the translation rule is

The triangle is translated 3 units to the right and 2 units down

So , add 3 to the x-coordinates and subtract 2 from the y-coordinates of each point

So , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )

Hence , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )

To learn more about translations click :

https://brainly.com/question/19007400

#SPJ1

Answer:

jack is 54 and lacey is 13.5. I think

Step-by-step explanation:

Let Jack be J and Lacy be L.

First equation:   J=4L

Second equation:    (J+9)+(L+9)=63

Solving using substitution:

4L+9+L+9=63

5L+18=63

5L= 45

L = 9

L=9 and J=4L  = 4*9 = 36

So Jack is 36 years old and Lacy is 9 years old.

Story:

John is baking a cake. He need to feed 5 people with the cake but the recipe is only designed for 1 serving. In the regular recipe, it required 3/4 cups of sugar. How much sugar does he need for the new recipe?

Answer:
3.75 or 3 3/4

Answer:

A store has 5 oranges then a customer buys 3/4 of them. How many is left

Step-by-step explanation:

5x3/4=3.75 if it was in decimal but in fraction it is 23/4
5x3/4=3.75

3/4 is 0.75
0.75 x 5=3.75

Answermmm

Step-by-step explanation:

fff

Answer:

Area:

(3x-1) * (2x+4) = 6x² + 10x - 4

Perimeter:

((3x-1)*2) + ((2x+4)*2) = 10x + 6

Answer:

A)x=-8 B)x=3

Step-by-step explanation:

A)-3x+10=34   -3x+10-10=34-10   -3x/-3=24/-3 x=-8

B) 13x-4=11x+10-8   13x-4+4=11x+10-8+4  13x-11x=11x-11x+6  2x/2=6/2   x=3

Answer:

Step-by-step explanation:

5) ∠1

6)  ∠2 and ∠3

7)  ∠1

Answer:

i think the answer is 6498

Step-by-step explanation:

Answer:

6498

Step-by-step explanation:

Pay attention in class :)

Okay, so basically, you just need to replace x and y with the corresponding numbers.

So our equation would be:

9 * 2(5 * 7 - 8 * 2) squared

Now we solve with PEMDAS:

9 * 2(35 - 16)squared

9 * 2(19)squared

9 * 2(361)

18 * 361

6498

Let me know if I did something wrong!

3(4+7)

Simplify

3(11)

Multiply

3 x 11 = 33

So, the answer is 33.

Answer:

33 total cats and dogs

Step-by-step explanation:

15/5=3

3*6=18

18+15=33

hope this helps

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

A goal for the amount of money being saved.

Step-by-step explanation:

Answer: 8ft tall

Step-by-step explanation:

6/2=3

24/3=8

so the tree is 8ft tall

Answer:

I believe the answer is C (-2,6)

[tex]\\ \rm\rightarrowtail y=x^2+4x+10[/tex]

[tex]\\ \rm\rightarrowtail y=x^2+4x+4+10-4[/tex]

[tex]\\ \rm\rightarrowtail y=x^2+4x+2^2+6[/tex]

[tex]\\ \rm\rightarrowtail y=(x+2)^2+6[/tex]

Vertex form

Vertex:-

Answer:

C = 7.2

Step-by-step explanation:

What's Pythagorean Theorem?

To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.

Step 1: Simplify.

Step 2: Take square root of both sides.

Therefore, the value of C is 7.2.

Step-by-step explanation:

the answer is 44 you have to multiply 3 and 11 and you'll get 8 then calculate 33-8 and then subtract and then you get 25 so you put 44

Answer:

Standard deviation is 70

Step-by-step explanation:

square root of 4,900= 70 (solved using standard deviation formula)

Answer:

so easy ....dude

Step-by-step explanation:

you can do it..

Answer:

less

Step-by-step explanation: 71.6 can also be seen as 71.60 therefore 71.63 is greater

Answer:

Less than.

Think of .6 as the tenths place to tens place.

.63 is 6 tenths and 3 hundredths, so 63.

Now ask yourself, "Is 63 greater than 60?"

And your answer is yes.

Answer: n=8

Step-by-step explanation: 3+2+8=13

3+2=5 so 13-5=8

Answer:

n=8

Step-by-step explanation:

PEMDAS:

Solve out each side then subtract 5 from the side with n.

Work:

3+(2+8)=(3+2)+n

3+10=5+n

13=5+n

8=n

Answer: A. 1.2

Step-by-step explanation:

The principal, real, root of:

2^√1.44

=1.2

All roots:

1.2

−1.2

1.44 is not a perfect square

3nomber is right

Is it helpfui

I think its 3! ^w^

Sawarasenai kimi wa shoujo na no?~

Answer:

i may be correct or not, i am not sure

Step-by-step explanation:

-34/5+-34/5 is -68/5 which is 13 3/5

Answer:

-13[tex]\frac{3}{5}[/tex]

Step-by-step explanation

[tex]-6\frac{4}{5} + -6\frac{4}{5}[/tex]                          

calculate

-13[tex]\frac{3}{5}[/tex]

Answer:

The simple answer is 32.1

Step-by-step explanation:

It might look easier if you add 1 x 30 and 0.07 x 30.

Answer:

The correct answer is 32.1

Step-by-step explanation:

The force in the rod when the temperature is 150 °F is 718.72 pounds-force.

Let suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force ([tex]F[/tex]), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.

Given simmetry considerations, we derive an expression for the spring force ([tex]F[/tex]), in pounds-force,  as a sum of mechanical and thermal effects by principle of superposition:

[tex]F = k\cdot (\Delta x + 0.5\cdot \Delta l)[/tex]   (1)

Where:

The rod elongation is described by the following thermal dilatation formula:

[tex]\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})[/tex]   (2)

Where:

If we know [tex]k = 1000\,\frac{lb}{in}[/tex], [tex]\Delta x = 0.7\,in[/tex], [tex]\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}[/tex], [tex]L_{o} = 48\,in[/tex], [tex]T_{o} = 30\,^{\circ}F[/tex] and [tex]T_{f} = 150\,^{\circ}F[/tex], then the force in the rod at final temperature is:

[tex]F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right][/tex]

[tex]F = 718.72\,lbf[/tex]

The force in the rod when the temperature is 150 °F is 718.72 pounds-force. [tex]\blacksquare[/tex]

To learn more on deformations, we kindly invite to check this verified question: https://brainly.com/question/13774755

Answer: 6,760,000 different possible serial numbers.

Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.

Answer:

Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

We are given the value of x (second equation). Let's substitute the value of x into the first equation to find y.

[tex]\rightarrow \dfrac{x}{y} = 6[/tex]

[tex]\rightarrow \dfrac{4(y + 1)}{y} = 6 \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[}x = 4(y + 1)]}[/tex]

Use cross multiplication.

[tex]\rightarrow 4(y + 1) = 6 \times y[/tex]

[tex]\rightarrow 4(y + 1) = 6 y[/tex]

Simplify the distributive property.

[tex]\rightarrow 4(y + 1) = 6 y[/tex]

[tex]\rightarrow 4y + 4 = 6 y[/tex]

Subtract 4y both sides.

[tex]\rightarrow 4y - 4y + 4 = 6 y - 4y[/tex]

[tex]\rightarrow 4 = 2y[/tex]

Divide both sides by 2.

[tex]\rightarrow \dfrac{4}{2} = \dfrac{2y}{2}[/tex]

[tex]\rightarrow 2 = y[/tex]

Thus, the value of y is 2.