(i) Liquids and gases are measured by _______________
(ii) Perpendiculars drawn from the vertices of a quadrilateral on a diagonal
are called___________________
(iii) The degree of a constant polynomial is___________.
(iv) If 25y2 – 1 = 5( my2
-
1
) , then mn = _____________.
(v) If x2 – 17 x + 60 = (x +a )(x + b) , then a + b =_______________.
(vi) The space occupied by a solid is called its ____________
(vii) If the number of biscuits increases 3 times , then their value increases
_________ times.
(viii) If speed increases , then time _______________.
(ix) The degree of the polynomial 2a2 – 4b3 + 2 a2b
3 _______________.
(x) The structures having a definite shape are called___________
2. Write True or False:
(i) The volume of a water tank is measured in square units.
(ii) Ratio can be simplified like a fraction.
(iii) The price written on an article is called the marked price.
(iv) A square is a special type of a rhombus.
(v) The C.I and S.I for 2 years are same.
(vi) 7 can be written as “ 7x0 ” .
(vii) Area of a rhombus is half the product of its diagonals.
(viii) A cylinder has only one circular end.
(ix) A square is a special type of a rhombus.
(x) The structures having a definite shape are called solids.
3. Match the columns:
COLUMN A COLUMN B
(a) The no.of terms in a trinomial is (i) 2
(b) (- x
2
) ÷ ( -x
2
) = (ii) l × b× h
(c) Degree of 2k2 – 5k +1 (iii) 3
(d) Volume of cuboid (iv) 1
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Answer: can u pls mark me brainliest pls
x2-17x-60=0
Two solutions were found :
x = 20
x = -3
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-17x-60
The first term is, x2 its coefficient is 1 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is -60
Step-1 : Multiply the coefficient of the first term by the constant 1 • -60 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -17 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and 3
x2 - 20x + 3x - 60
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-20)
Add up the last 2 terms, pulling out common factors :
3 • (x-20)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-20)
Which is the desired factorization
Equation at the end of step 1 :
(x + 3) • (x - 20) = 0
Step 2 :
Theory - Roots of a product :
Step-by-step explanation:
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