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kap26 [50]
3 years ago
5

When the length of each side of a square is increased by 5 cm, its area is increased by 895 cm2. Find the length of a side befor

e the increase.
The length of a side before the increase is...
Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: (s+5)^2=s^2+10s+25

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

s^2+10s+25=s^2+895 and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

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Ax) = x² + 4x + 5<br> What is the vertex?
kakasveta [241]

Answer:

(-2,1)

Step-by-step explanation:

6 0
3 years ago
The combined land area of the countries A and B is 178,973 square kilometers. Country A is larger by 373 square kilometers. Dete
ruslelena [56]
X=area of the country A
y=area of the country B
we saggest this system of equations:
x+y=178,973
x=y+373
we solve this system of equations by substitution method.
(y+373)+y=178,973
2y=178,973-373
2y=178600
y=178,600/2=89,300

x=y+373
x=89300+373=89,673

answer:
area of the country A=89,673 Km²
area of the country B=89,300 Km²

To check
The combined land area of the countries A and B is =89,673 Km²+89,300 Km²=178,973 Km²
Country A (89,673 Km²) is 373 Km² more larger than country B (89,300 Km²).
89,673 Km²=89,300 Km²+373 Km²
7 0
3 years ago
The points (0 1) and (1 4) are contained in the graph of an equation with only two variables x and y
Blababa [14]

The line that passes through (0 1) and (1 4) is a linear equation

The equation of the points is y = 3x + 1

<h3>How to determine the equation of the points?</h3>

The points are given as:

(x,y) = (0 1) and (1 4)

Start by calculating the slope (m)

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m = (4 - 1)/(1 - 0)

Evaluate

m = 3

The equation is then calculated as:

y = m(x - x₁) + y₁

This gives

y = 3(x - 0) + 1

Evaluate the product

y = 3x + 1

Hence, the equation of the points is y = 3x + 1

Read more about linear equations at:

brainly.com/question/1884491

7 0
2 years ago
| 1). What number is 40% of 50?
ipn [44]
40% of the number 50 is 20
7 0
3 years ago
The lengths of a certain species of fish are approximately normally distributed with a given mean (look at the picture) and stan
tatyana61 [14]
The empirical rule states that approximately 68/95/99.7% of a normal distribution lies within 1/2/3 standard deviations. So the answer is 68%.
6 0
3 years ago
Read 2 more answers
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