Two-thirds a number plus 4 is 7

On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the t

Lunna [17]

Answer:

The rule of the translation is (x,y) -----> (x+3,y-3)

The translation is 3 units at right and 3 units down

Step-by-step explanation:

we have that

The translation of point B to point B' is

B(-6,1) -----> B'(-3,-2)

so

(x,y) -----> (x+a,y+b)

B(-6,1) ----> (-6+a,1+b)

Find the value of a

$-6+a=-3$

solve for a

$a=-3+6\\a=3$

Find the value of b

$1+b=-2$

solve for b

$b=-2-1\\b=-3$

therefore

The rule of the translation is

(x,y) -----> (x+3,y-3)

That means ----> The translation is 3 units at right and 3 units down

3 0

3 years ago

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Order the set of numbers from LEAST to GREATEST.

Alexeev081 [22]

A would be your answer.

(I am going to assume that the set of numbers are multiplied by exponents.)

To solve you just need to calculate each one. Note that for positive exponents you move the decimal point to the right and negative exponents you move the decimal point to the left.

$2.7*10^{3}, 4.24*10^{-3} , 4.7*10^{2}, 4.3*10^{-2}$

The first scientific notation would be equal to 2700 because you move the decimal point 3 places to the right, since the exponent is positive.

$2.7*10^{3} =2700$

The second scientific notation would be equal to 0.00424 because you move the decimal point 3 places to the left, since the exponent is negative.

$4.24*10^{-3} =0.00424$

The third scientific notation would equal 470 because you move the decimal point 2 places to the right, since the exponent is positive.

$4.7*10^{2} =470$

The last scientific notation would equal 0.043 because you move the decimal point 2 places to the left, since the exponent is negative.

$4.3*10^{-2} =0.043$

4 0

3 years ago

In the triangle below, calculate the value of y.

il63 [147K]

Hope This helps !!!!....

6 0

3 years ago

WILL GIVE BRAINLIEST TO ANSWER WITH WORK SHOWN

finlep [7]

Answer:

Step-by-step explanation:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

8 0

2 years ago

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Question 2: Select the property shown

MAXImum [283]

Answer:

1. option C, i.e., symmetric property.

2. option B, i.e., Integer

3. option D, i.e., zero product property

Step-by-step explanation:

Symmetric property: According to this property it a=b the b=a.

By symmetric property, we can say that, if y=7 then 7=y.

Therefore, the correct option is C, i.e., symmetric property.

Closure property: According to this property, if a∈S and b∈S, then a*b∈S.

Subtraction of natural numbers is not always natural.

Subtraction of integers is always integer.

Subtraction of irrational number is not always irrational number.

Subtraction of odd number is always even.

Therefore, the correct option is B, i.e., Integer.

Given statement is (a-b)*0=0.

According to zero product property if ab=0, then a=0 or b=0.

So, the given statement is true by zero product property.

Therefore, the correct option is D, i.e., zero product property.

3 0

2 years ago