If you would like to know which of the following steps should be performed to eliminate variable d first, you can find this using the following steps:
equation a: 2c = d - 8 /*(-3)
equation b: c = 3d + 8
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-6c = -3d + 24
c = 3d + 8
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-6c + c = -3d + 24 + 3d + 8
-5c = 32
5c = -32
c = -32/5
<span>The correct result would </span>be: <span>multiply equation a by −3.</span>
Answer:
x = 7, x = 2
Step-by-step explanation:
Given
x² = 9x - 14 ( subtract 9x - 14 from both sides )
x² - 9x + 14 = 0 ← in standard form
(x - 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and splve for x
x - 7 = 0 ⇒ x = 7
x - 2 = 0 ⇒ x = 2
(3.4)/(12.92)
=(3+2/5)/(12+92/100)
=(15/5+2/5)/(1200/100+92/100)
=(17/5)/(1292/100)
=(17/5)*(100/1292)
=1700/6460
=170/646
=85/323
Ages of Kim and Kevin are 50 and 20 respectively.
<u>Step-by-step explanation:</u>
Step 1:
From given details, form equations. So let present age of Kevin be x.
In 10 years, Age of Kim = 2(x + 10)
5 years ago, Age of Kim = 3(x - 5)
Step 2:
Difference between these two period is 15.
⇒ 2(x + 10) - 3(x - 5) = 15
⇒ 2x + 20 - 3x + 15 = 15
⇒ -x = -20
⇒ x = 20
Step 3:
Calculate Kim's age.
In 10 years, Kim's age = 2(x + 10) = 2 × 30 = 60
So present age of Kim = 60 - 10 = 50
Answer: A. - 1/a
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope equals -1 . That is , if the slope of the first line is
and the slope of the second line is
, if they are perpendicular , then :
x
= -1.
Therefore : the perpendicular slope to m is 