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geniusboy [140]

2 years ago

10

1. Find the lengths of the diagonals of rectangle QRST , Given that QS = 6X+3 and RT = 8X-1

2 answers:

Bezzdna [24]2 years ago

8 0

For the lengths, Qs and RT= 15

Greeley [361]2 years ago

5 0

Answer:

1. QS and RT= 15

2. Im not positive but I think it's TQ=18

Step-by-step explanation:

For question 1, you would do 6x+3=8x-1 and solve to get the result of x=2

Then you'd plug in 6 and get QS and RT=15

For the second one I am unsure because I wasn't positive how to solve but it seems like the side RQ might be 1/2 of TQ. Sorry if thats wrong I can try and help more if you need

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The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the

NeX [460]

Answer:

$\text{Smaller square's 15 inches, Bigger square's 18 inches}$

Step-by-step explanation:

GIVEN: The length of each side of a square is $3$ inches more than the length of each side of a small square. The sum of the areas of the square is $549$ inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be $\text{x}$

Area of small square $=(\text{side})^2=\text{x}^2$

As length of each side of bigger square is $3\text{ inches}$ more than the smaller square

length of side of bigger square $=\text{x}+3\text{ inches}$

Area of bigger square $=(\text{x+3})^2$

Also

Sum of areas of both square $=549\text{ inch}^2$

$(\text{x})^2+(\text{x+3})^2=549$

$2\text{x}^2+6\text{x}+9=549$

$\text{x}^2+3\text{x}-270=0$

$\text{x}=15,-18$

as the length of side can never be negative

$\text{x}=15$

length of side of smaller square $=15\text{ inches}$

length of side of bigger square $=\text{x}+3\text{ inches}$ $=18\text{ inches}$

Hence the length of smaller and bigger square are $15\text{ inches}$ and $18\text{ inches}$ respectively.

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Explain why the quotient of two integers with different signs is negative PLEASE.

faltersainse [42]

Answer:

Ok, so we have the fact that plus +minus=minus

Thats the fact. It always works that way that same signs means positive and different means negative, as explained with logic.

4+(-5)

So we know that 4 is positive and -5 is negative

if you look at it through a number line, substracting 5 from 4 you have

3--->2---->1---->0---->-1

Under zero, the negatives start, so its proved by maths and logic as well.

Step-by-step explanation:

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Step-by-step explanation:

just follow the table and plot the points

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