A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer: NEITHER
Step-by-step explanation:
From the equation of lines given above, to know if relationships exist between the two lines, we must first determine that from their gradients or slopes.
From first equation
2x - y = 5,
y = 2x - 5
Therefore, m₁ = 2
From the second equation
3x - y = 5
y = 3x - 5
Therefore m₂ = 3
Recall, For the two lines to be parallel, m₁ = m₂ , and for the two line to be perpendicular, m₁m₂ = -1
since none fulfilled the conditions stated above, the answer then is
NEITHER
Answer:
x = 4.45 or x = - 4.45
Step-by-step explanation:
Here are the steps:
Substitute the values,
÷ 2 × 1
x = 2 ± √6
x = 4.45 or x = - 4.45
<em>good luck, i hope this helps :)</em>
Answer:
width = 6 feet
length = 19 feet
Step-by-step explanation:
'w' = width
'2w+7' = length
50 = 2w + 2(2w+7)
50 = 2w + 4w + 14
36 = 6w
6 = w
length = 2(6)+7 = 19
