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Posted by Aman Tripathi 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
Polynomials = Poly (means many) + nomials (means terms). Thus, a polynomial contains many terms
Thus, a type of algebraic expression with many terms having variables and coefficients is called polynomial.
Example: 3x , 5y2+2x+5, and 2x2+2
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Sia ? 5 years, 5 months ago
We need to make the whole numbers as a rational number by multiplying and dividing the numerator and the denominator with the same number
Thus, We have,
-1 = {tex}-\frac{1}{1}=\frac{-1 \times 10}{1 \times 10}=-\frac{10}{10}{/tex}
1 = {tex}\frac{1}{1}=\frac{1 \times 10}{1 \times 10}=\frac{10}{10}{/tex}
So, {tex}-\frac{9}{10}<-\frac{8}{10}<-\frac{7}{10}<-\frac{6}{10}<-\frac{5}{10}<-\frac{4}{10}<-\frac{3}{10}{/tex}
or - 1 {tex}-\frac{9}{10}<-\frac{8}{10}<-\frac{7}{10}<-\frac{6}{10}<-\frac{5}{10}<-\frac{4}{10}<-\frac{3}{10} < 1{/tex}
{tex}\therefore{/tex} four rational numbers between –1 and 1 are
{tex}-\frac{9}{10},-\frac{8}{10},-\frac{7}{10},-\frac{6}{10}{/tex}
Posted by Sanjaykumar Sanjay Kumar 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
In ∆ABC, AB = 15 cm , BC = 13 cm and AC = 14 cm.
By Heron's formula ,
S = ( A + B + C ) / 2
S = ( 15 + 13 + 14 ) / 2
S = 42 / 2
S = 21
Now, area of triangle
= √S (S–A) (S–B) (S–C)
= √21 (21–15) (21–13) (21–14)
= √21 (6) (8) (7)
= √7056
= 84 cm2
Again,area of triangle = 1/2×base×altitude=84 cm2
1/2×14×altitude = 84
7 × altitude=84
altitude = 84/7
Altitude = 12cm
Therefore, the area of ∆ABC is 84cm² and its altitude on AC is 12 cm.
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Kanchi Singh 5 years, 5 months ago
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Sia ? 5 years, 5 months ago
According to the question x is extra milk and y is the expenditure for the month
If the quantity of extra milk be 'x' and expenditure be Rs. 'y' then the given condition.
y = 20x + 500 (As Rs.500 is the fixed expenditure) ...(i)
Put x = 0 in equation (i)
y = 20(0) + 500 = 0 + 500
y = Rs.500
When no extra milk is taken the expenditure remains Rs.500 same
Put y = 1000 in equation (i)
1000 = 20x + 500
1000 - 500 = 20x
500 = 20x
x = {tex}\frac{500}{20}=25 \mathrm{kg}{/tex}
When the 25 kg of milk is taken extra the expenditure increased as Rs.1000
Put x = 2 in equation (i)
y = 20(2) + 500
y = 40 + 500
y = Rs. 540
When the 2 kg of milk is taken extra the expenditure increased by Rs.40 i.e. Rs. 540
| 0 | 25 | 2 |
| 500 | 1000 | 540 |
Posted by Malkeet Singh 5 years, 5 months ago
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Sia ? 5 years, 5 months ago
- The mirror image of point (2, 3) is (2, -3) with respect to x-axis.
- The mirror image of (-4, -6) is (-4,6) with respect to x-axis.
Priya Bhagoria 5 years, 5 months ago
Yogita Ingle 5 years, 5 months ago
In image of a point P(x, y) with respect to x axis, the change in only sign of ordinate of point so the image is Q (x, -y)
So, the mirror image of the point (2,3) is (2 ,-3) and (-4,-6) is (-4,6)
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Samridhi ?? 5 years, 5 months ago
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