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Taya2010 [7]
3 years ago
14

The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the

squares is 425 in^2. Find the lengths of the sides of the two squares.
Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

Step-by-step explanation:

let the smaller square be A, and the side is a

larger square is B, the side is a+3

Area(A)=a^2

Area(B)=(a+3)^2

a^2+(a+3)^2=425 in^2

a^2+a^2+6a+9=425

2a^2+6a=425-9

2(a^2+3a)=416 we divide by 2

a^2+3a=208

we solve the quadratic function

we will get two roots, a(1)=13, and the negative answer we will ignore

a=13 and the side of the larger square is 13+3=16

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7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
4 years ago
Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is −6. The distance between point A and point B is 15 units. What
xxTIMURxx [149]

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)

4 0
3 years ago
What is 6.5 c =____ fl oz
valentinak56 [21]
 here you go :
6.5 c = 52 fl oz

hope i helped :-)
4 0
3 years ago
Read 2 more answers
Henry buys a yacht for 150 000 euros, the yacht depreciates in value by 18% each year. Work out the value of the yacht at the en
Vilka [71]

Answer:

369000

Step-by-step explanation:

i think its right you have to take 150,000 and subtract 18% from it and then take the new number you get and multiply that by 3

7 0
3 years ago
Based on the table, which best predicts the end behavior of the graph of F(x)? <br><br>​
Tomtit [17]

Answer:

  C

Step-by-step explanation:

The table shows the sign of the function is the opposite of the sign of x, so ...

  as x → ∞, f(x) → -∞; as x → -∞, f(x) → ∞ . . . . . matches the 3rd choice

7 0
3 years ago
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