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Whitepunk [10]
3 years ago
12

Write the algebraic rule for transforming a figure by moving it 4 units to the left and 5 units up

Mathematics
2 answers:
dezoksy [38]3 years ago
7 0

Answer:

Translation: 5 units right and 2 units up

Step-by-step explanation:

Alex777 [14]3 years ago
3 0

Answer: 5 units right and 2 up

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A furniture store pays $210 to stock a coffee table. It sells the table with a 60% markup. What is the selling price of the coff
koban [17]
Answer: $336
explanation: 60% is equal to .6 so just take $210 and multiply that by .6 to get $126. Now, just take $126 and add it to $210 and you have $336.
8 0
3 years ago
What is the solution to the system of equations? (7, 9) (9, 7) (–5, 11) (11, –5)
KIM [24]

Answer: (7, 9)

Step-by-step explanation: To solve this system, I would use addition.

To solve a system of equations by addition,

we need one of our variables to cancel out.

Notice that we have a 4x in our first equation.

If we had a -4x in our second equation, the x's would cancel.

To create a -4x in the second equation,

we must multiply the entire equation by -4.

So we have (-4)(x + 6y) = (61)(-4).

Rewriting this equation, we have -4x - 24y = -244.

Now let's rewrite both equations.

<h2>4x - 5y = -17</h2><h2>-4x - 24y = -244</h2><h2>_____________</h2><h2 />

Now when we add the equations together, the x's cancel.

So we're left with -29y = -261.

Now divide both sides by -29 and we have y = 9.

To find x, we plug a y back in for x in either equation.

So let's go with our second equation, x + 6y = 61.

Plugging a 9 in for y, we have x + 6(9) = 61 or x + 54 = 61.

Subtracting 54 from both sides, we have x = 7.

So x = 7 and y = 9 which we can write as the ordered pair (7, 9).

6 0
3 years ago
What is the variance of the data set? 8, 9, 10, 16, 17
adoni [48]
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.

x - mean:

8 - 12 = -4,  -4² = 16

<span>9 - 12 = -3,  -3² = 9
</span>
<span>10 - 12 = -2,  -2² = 4
</span>
<span>16- 12 = 4,  4² = 16</span>

<span>17- 12 = -5,  -5² = 25
</span>
Sum of the squares =   16 + 9 + 4 + 16 +25 = 70

Variance = 70/5 = 14

Variance = 14
6 0
3 years ago
our buses carrying 140 high school students arrive to Montreal. The buses carry, respectively, 31, 43, 27, and 39 students. One
Vinvika [58]

Answer:

V(X)= 39.10

V(Y)= 40

Step-by-step explanation:

Given that

Total number of student = 140

Bus A - 31

Bus B- 43

Bus C- 27

Bus D- 39

The probability that a student was on the bus is proportional to the number of student. Eg 31/140 in bus A, 43/140 on bus B, ...

E(X) = (31*31/140) + (43*43/140)  + (27*27/140) + (39*39/140)

=  35.5

Var(X) =(31-35.5)^2 \times \dfrac{31}{140}+(43-35.5)^2 \times \dfrac{43}{140}+(39-35.5)^2 \times \dfrac{39}{140}+(27-35.5)^2 \times \dfrac{27}{140}

V(X)= 39.10

The bus driver have  1/4 probability on being on any of the buses.

E(Y) = 140/4 = 35

Var(Y)=\dfrac{(35-31)^2+(35-43)^2+(35-27)^2+(35-39)^2}{4}

V(Y)= 40

7 0
3 years ago
Simplify <br><br>(x^a)^b-c×(x^b)^c-a×(x^c)^a-b<br><br>step by step...
Korvikt [17]

Answer:

= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a

Or

= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)

7 0
3 years ago
Read 2 more answers
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