Answer:
21cm, 12cm
Step-by-step explanation:
width=x cm
length=2x-3 cm
area= 252cm²
l*b= 252 cm²
(2x-3)(x)=252
2x²-3x= 252
this is how I did it
we need to find the nearest square of the number (it should be lesser than the area)
that is 225, whose square root is 15.
since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12
x= 12
we can verify it too,
2*(12)² - 3*12=252
288-36=252
252=252
therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm
verify;
21*12= 252
252=252
hence the dimensions are 12 am (width) and 21 cm(length).
Answer:
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Step-by-step explanation:
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Answer:
y= -x-2
Step-by-step explanation:
y=ax+b
x= -2; y=0 => 0=-2a+b; b=2a
x= -1; y= -1 => -1=-a+b => b=a-1
2a=a-1=> a= -1; b= -2
=> y= -x-2
Answer:
- 77k - 40
Step-by-step explanation:
Given
- 4(8k + 5) - 5(9k + 4) ← distribute both parenthesis
= - 32k - 20 - 45k - 20 ← collect like terms
= - 77k - 40
Answer:
y = 4x + 1
Step-by-step explanation:
first use y-y/x-x
(-2, -7), (3, 13)
-7-13 / -2-3
-20 / -5
4x is the slope
i'm going to do another way of finding the y-intercept, but you should learn how to do the way you're being asked here
y = mx + b
-7 = 4(-2) + b
-7 = -8 + b
1 = b
y = 4x + 1 is your answer