Answer:
Step-by-step explanation:
If I'm not mistaken by the question, we have
Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)
Putting all terms on the LHS (left hand side) and evaluating,
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
It's 10 - 4
moving decimal over to the right makes a negative exponent.
Answer:
y=50 and x=-173/2
Step-by-step explanation:
52-2y=-48
∴-2y=-100
y=50
and 2x+3y=-23
y=50→(1)
2x+3y=-23→(2)
Putting y=50 in equation (2), we get
⇒2x+3y=-23
⇒2x+3(50)=-23
⇒2x+150=-23
⇒2x=-23-150
⇒2x=-173
⇒x=-173/2
∴y=50 and x=-173/2
