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3 years ago

What is the rule for the reflection?

Mathematics

2 answers:

swat323 years ago

7 0

Answer: C. ry=x(x, y) → (y, x)

Step-by-step explanation:

From the given picture, the coordinates of A = (-2,1), B(3,4) and C(-4,1)

and the coordinates of A' =(1,-2), B'(4,3) and C'(1,-4)

We can see that the x and y coordinates of ΔABC has changed their place in ΔA'B'C'.

Therefore, the rule for the given reflection is in option C.

i.e. ry=x(x, y) → (y, x) .

zloy xaker [14]3 years ago

3 0

The answer is C because if you put
$x = - 2 \\ y = 1 \\$
Find the reflected two points which are:
$x = 1 \\ y = - 2$
They're just flipped equations

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Alenkasestr [34]

The amount of calvin’s starting balance for the next month will be C. $625.91.

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From the information given, the monthly percentage rate will be:

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2 years ago

7^8 divide by 7y =7^6 find the value of y

lisabon 2012 [21]

Answer: y = 7

Explanation:

7^8/7y = 7^6
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Which mean y = 7

So that:
7^7/7= 7^6
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3 years ago

A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. Fencing material costs $ 3 per foot for the two s

Tatiana [17]

Answer:

150 feet by 300 feet.

Step-by-step explanation:

The fence is to enclose a rectangular area of 45,000 ft squared.

If the dimensions of the rectangle are x and y

Area of a rectangle = xy

xy=45000
$x=\frac{45000}{y}$

Perimeter of the Rectangle =2x+2y

Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides.

Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)

Substitute $x=\frac{45000}{y}$ into the Cost to get C(y)

C=12x+6y

$C(y)=12(\frac{45000}{y})+6y\\C(y)=\frac{540000+6y^2}{y}$

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.

$C^{'}(y)=\dfrac{6y^2-540000}{y^2}$

$\dfrac{6y^2-540000}{y^2}=0\\6y^2-540000=0\\6y^2=540000\\y^2=\frac{540000}{6} =90000\\y=\sqrt{90000}=300$

Recall,

$x=\frac{45000}{y}=\frac{45000}{300}=150$

Since x=150, y=300

The dimensions that will be least expensive to build is 150 feet by 300 feet.

6 0

3 years ago

What is the simplest form of 6 radical 8 plus 8 radical 2

arsen [322]

Answer:

20 $\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify

$\sqrt{8}$ = $\sqrt{4(2)}$ = $\sqrt{4}$ × $\sqrt{2}$ = 2 $\sqrt{2}$

Thus

6 $\sqrt{8}$ + 8 $\sqrt{2}$

= 6(2 $\sqrt{2}$ ) + 8 $\sqrt{2}$

= 12 $\sqrt{2}$ + 8 $\sqrt{2}$

= 20 $\sqrt{2}$

8 0

3 years ago

What is the reciprocal of the sum of a half, a third, and a fourth?

soldier1979 [14.2K]

Answer

12/13

Step-by-step explanation:

1/2+1/3+1/4=?

6/12+4/12+3/12=?

13/12

Reciprocal is 12/13

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3 years ago