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AlekseyPX
3 years ago
9

Can you plz help me I don’t understand

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
48/3 = 16. On the second day she sold 16 notebooks.
16-2(she sold two more each day) = 14
16+2=18
Day 1=14
Day 2=16
Day 3=18
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The area of a rectangle is 45 cm2. Two squares are constructed such that two adjacent sides of the rectangle are each also the s
Zielflug [23.3K]

Answer:

The lengths of sides of squares are 5 cm and 9 cm.

Step-by-step explanation:

Let the sides of rectangle be x and y .

Area of rectangle = Length × Breadth

Given : Area of rectangle = 45 cm².

⇒ x × y  = 45  

⇒ x=\frac{45}{y}  ........(1)

Two squares are constructed such that two adjacent sides of the rectangle

so squares have side x and y .

Area of square = side × side

Area of square with side x = x²

Area of square with side y = y²

Also, The combined area of the two squares is 106 cm².

⇒ x² + y² = 106

From (1) put value of x , we get,

(\frac{45}{y})^2+y^2=106

Solving for y ,

(\frac{45}{y})^2+y^2=106  

2025+y^4=106y^2  

y^4-106y^2+2025=0  

y^4-81y^2-25y^2+2025=0  

y^2(y^2-81)-25(y^2-81)=0  

(y^2-25)(y^2-81)=0

y^2-81=0 or y^2-25=0    

on solving we get y = 5 and y = 9

Also, x can be find by putting in (1),

⇒ x=\frac{45}{5}=9 and ⇒ x=\frac{45}{9}=5  

⇒ x = 9 and x = 5

Thus, lengths of sides of squares are 5 cm and 9 cm.

6 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?
GrogVix [38]
First find the slope of the given line like this:
5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
y=\frac{-5}{2}x+a and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
4=\frac{-5}{2}(-2)+a 
4=5+a 
a=4-5=-1 
The equation of the line is then the following:
y=\frac{-5}{2}x-1.
3 0
3 years ago
Read 2 more answers
Pls help i need help pls help
Lina20 [59]

Answer:

on what jsoshshsisshsushshdu?

5 0
2 years ago
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Haley walks at an average rate of 3.5 miles per hour last month she walked 3 weeks at our regular great for 6 hours per week she
Kaylis [27]

Answer:

i need some pts

Step-by-step explanation:

4 0
3 years ago
Convert y=-(x-3)^2+11 to standard form
Citrus2011 [14]
Y=−x2+6x+2 is the standard form of the equation you provided.
8 0
3 years ago
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