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3 years ago

Which digits can replace the square to make a true statement 6,456 <6■12 <6788 5,6 or 4,5,6 or 5,6,7 or 4,5,6,7

Mathematics

1 answer:

lakkis [162]3 years ago

6 0

The answer is 5, 6, 7

Because

6456 < 6512 < 6788
6456 < 6612 < 6788
6456 < 6712 < 6788

You might be interested in

Square RSTU is inscribed in circle P. Given the coordinates for the vertices of the square, find the equation of circle P.

svlad2 [7]

Answer:

$(x-2)^2+y^2=20$

Step-by-step explanation:

We want to find the equation of a circle P, and we know that the square RSTU is inscribed in the circle, this means that if we replace the points:

R(0,4) S(6,2) T(4,-4) and U(-2,-2) the equation must be verified.

Then, we have to replace the points in each option to see which one is the correct answer.

Option A: $(x-2)^2+y^2=68$

R(0,4):

$(x-2)^2+y^2=68\\(0-2)^2+4^2=68\\(-2)^2+16=68\\4+16=68\\20\neq 68$

We can see that R doesn't belong to the equation of the circle.

We could replace the rest of the points in the equation, but since we already know that R does not belong to the circle, we already know that it is not the right option.

Option B: $(x+2)^2+y^2=20$

R(0,4):

$(x+2)^2+y^2=20\\(0+2)^2+4^2=20\\2^2+4^2=20\\4+16=20\\20=20$

The point R(0,4) verifies the equation.

S(6,2):

$(x+2)^2+y^2=20\\(6+2)^2+2^2=20\\8^2+4^2=20\\64+16=20\\80\neq 20$

The point S doesn't belong to the equation of the circle, then we already know that this isn't the correct option.

Option C: $(x-2)^2+y^2=20$

R(0,4):

$(x-2)^2+y^2=20\\(0-2)^2+4^2=20\\(-2)^2+16=20\\4+16=20\\20=20$

The point R verifies the equation.

S(6,2):

$(x-2)^2+y^2=20\\(6-2)^2+2^2=20\\4^2+4=20\\16+4=20\\20=20$

The point S verifies the equation.

T(4,-4):

$(x-2)^2+y^2=20\\(4-2)^2+(-4)^2=20\\2^2+16=20\\4+16=20\\20=20$

The point T verifies the equation.

U(-2,-2):

$(x-2)^2+y^2=20\\(-2-2)^2+(-2)^2=20\\(-4)^2+4=20\\16+4=20\\20=20$

The point U verifies the equation.

<em>We can see that the four points RSTU verifies the equation. This means that the square RSTU is inscribed in circle P whose equation is: </em> $(x-2)^2+y^2=20$

<em>We can see that the graph of the equation verifies the answer.</em>

3 0

4 years ago

637 x 3 find the products. Show your thinking. The first row gives some ideas for showing your thinking

Colt1911 [192]

Answer:

1,911

Step-by-step example

3 x 7

3 x 30

3 x 600

then add it all up to get the 1,911

6 0

3 years ago

What are the possible values of x for the following functions?

stiks02 [169]

What can a denominator never be?

0

so, we need to figure what x can't be... the only way to multiply 2 things together to get 0 is if one or both are zero.

so, what x values make our denominator 0?

to figure this out, we need to set (x-1)(x-2)=0

now we split and solve.

$x - 1 = 0 \\ x - 2 = 0$
so when x is 1 or 2 the function doesnt make sense.

but, x can be every other number and it does, so the answer is
ALL REAL NUMBERS not equal to 1 or 2

7 0

3 years ago

What is 6 plus 6??????..

koban [17]

Answer: 6 plus 6 is 94

Step-by-step explanation:

For example |||||||||||||||||||||||||||||||||||||||||||||| + ||||||||||||||||||||||||||||||||||||||||||||||| = 94

5 0

3 years ago

Read 2 more answers

1) How many bows can you make from 16 meters of ribbon if 1/2 of a meter of ribbon makes one bow?

Ad libitum [116K]

Answer:

1) you can make 32 bows

2) a. 16 b.8

Step-by-step explanation:

1) if you have 16 meters of ribbon and it takes 1/2 meters to make one now, you would divide 16 by 1/2 and get 32

2)if you divide 8 by 0.5 you get 16 and if you divide 4 by 0.5 you get 8

3 0

3 years ago