<u>Giv</u><u>en</u><u> that</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u><u> </u>
→ x = 4y + 3 equation 1st
→ y = -2x -3 equation 2nd .
Now putting the value of x from first equation to second equation.
→ y = -2(4y +3 ) -3
→ y = -8y - 6 - 3
→ y + 8y = -9
→ 9y = -9
→ y = -1
Now putting the value of y in equation first .
→ x = 4(-1) + 3
→ x = -4 + 3
→ x = -1
Now multiply and X and y.
→ x.y = -1(-1)
→ x.y = 1 .
Just put 20 over 100 and simplify. The answer is 1/5.
Answer:
20
Step-by-step explanation:
The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is
30 m + 40 m = 70 m
Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.
a^2 + b^2 = c^2
Let the legs of the right triangle be a and b. Let the hypotenuse be c.
(30 m)^2 + (40 m)^2 = c^2
900 m^2 + 1600 m^2 = c^2
c^2 = 2500 m^2
Take the square root of each side.
c = 50 m
The direct path from the school to the house is 50 m.
Difference: 70 m - 50 m = 20 m
Answer: You save 20 m.
The standard form will be:
a. 3.15
b. 3.015
<h3>How to calculate the value?</h3>
It should be noted that the question is simply about converting the expanded form to standard form.
This will be:
(3 × 1) + (1 × 0.1) + (5 × 0.01)
= 3 + 0.1 + 0.05
= 3.15
b. (3 × 1) + (1 × 0.01) + (5 × 0.001)
= 3 + 0.01 + 0.005
= 3.015
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