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DaniilM [7]
3 years ago
10

Use the substitution method to solve the given system of equations.

Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

c is correct option. (5,0) .Hope this helps you.

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The area of a rectangle is 108m2 and its diagonal is 15m. Find the perimeter of the rectangle if the sides are of integer length
svlad2 [7]

Considering the figure,

In ΔABC, right angled at B, we can use Pythagoras theorem :

x^2 + y^2 = 15^2

x^2 + y^2 = 225..................(1)

Also we are given area of rectangle as 108 m²

Area of rectangle = length * breadth = x * y

108 =x*y.............(2)

x=108/y........(3)

plugging the value of x from equation (3) in (1),

x^2 + y^2 = 225

(108/y)^2 + y^2 = 225

We can use quadratic formula to solve this.

On solving this we get four values of y as :

y=12, y=-12, y=9 and y=-9

since length cannot be negative we have two y values as :

y=12 and y=9

plugging these in equation (3) to get x as

x=108/y = 108/12 = 9

x = 108/9 =12

so we have two answers:

length =9 m and breadth = 12m

length =12 m and breadth =9m

Perimeter = 2(l+b)

Perimeter = 2(9+12) = 42m

4 0
4 years ago
Multiplying positive and negative fractions 2/5 times 2/3
Svet_ta [14]

Answer:

\frac{4}{15}

Step-by-step explanation:

I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.

Hope this helped you out.

5 0
3 years ago
Yyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeettttttttttt
KonstantinChe [14]

Answer:

yummy

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1) Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.
SSSSS [86.1K]

Question 1) Write an absolute value equation that is reflected, vertically shifted 2/3 units down and 1/2 units to the right.

Answer 1):

We know that absolute function is given by y=|x|

reflection happens when we multiply by negative sign so we get

y=-|x|

To get vertical shift down, we subtract so new equation is

y=-|x|-2/3

To get right shift by h unit, we replace x by (x-h) so the new equation is

y=-|x-1/2|-2/3

Hence final answer is

y=-\left|x-\frac{1}{2}\right|-\frac{2}{3}


Question2) Write an absolute value equation with a horizontal shift 4 units to the right.

Answer:

We know that absolute function is given by y=|x|

To get horizontal right shift by h unit, we replace x by (x-h) so the new equation is

y=|x-4|

Hence final answer is y=|x-4|.

4 0
3 years ago
Please help all u need to do is find out a and b
Tomtit [17]

Step-by-step explanation:

as we can see that the sides are in the ratio of 2:1 and are consecutive

so

a;b=2:1

a=4

b=8

5 0
3 years ago
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