Answer:
5cm
Step-by-step explanation:
A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.
Area of a rectangle = length x breadth
Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².
Since area = length x breadth
Area = (2x - 1) x ( x + 2)
(2x - 1)(x + 2) = 63
Expand the bracket
2x (x + 2) -1 ( x + 2) = 63
2x² + 4x - x - 2 = 63
2x² + 3x - 2 = 63
2x² + 3x -2 -63 = 0
2x² + 3x - 65 =0
We'll Solve the quadratic equation, we can solve using factorisation method.
Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x
Factors = 13 and -10
Rewrite equation
2x² - 10x + 13x - 65 = 0
Factorise
2x(x - 5) + 13 ( x - 5) = 0
2x + 13 = 0 or x - 5 = 0
2x = -13 or x = 5
Since we can't have a negative length then x = 5cm
I hope this was helpful, Please mark as brainliest
F because the circle is enclosed and pointing to the right
Answer:
15
Step-by-step explanation:
We know that a half is equal to 3/6. Therefore 5/6 is higher up on the number line than 0.5, and it should be rounded up
Answer:
200 teddy bears
Step-by-step explanation:
D : TB
6 : 5
Let the total number of dolls be 6x and the total number of teddy bears be 5x.
6x = 240
5x =
× 240
= 200 teddy bears
"Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week." because.
Let n be the number of aerobic and strength-training exercises per week.
Let x be the number of strength-training exercises per week on the beginner
15x + 20n = 90
Let y be the number of strength-training exercises for week on the advanced plan.
20y + 30n = 130
Multiply both sides by 1.5, to get:
22.5x + 30n = 135
Subtracting equation 2 from 3 we get:
22.5x - 20y = 5