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To solve algebraic equations or inequalities, we will need to use SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses. SADMEP is strictly used when solving algebraic equations/inequalities.
2. x - 7 > 10 (add 7 to both sides)
x > 10
3. 3x ≤ 21 (divide both sides by 3)
x ≤ 7
4. 5a - 2 < 18 (add 2 to both sides)
5a < 20 (divide both sides by 5)
a < 4
5. 2t + 8 ≥ -4(t + 1) (use the distributive property)
2t + 8 ≥ -4t - 4 (add 4t to both sides)
6t + 8 ≥ -4 (subtract 8 from both sides)
6t ≥ -12 (divide both sides by 6)
t ≥ -2
<u>Final answers:</u>
- 2. x > 10
- 3. x ≤ 7
- 4. a < 4
- 5. t ≥ -2
Distance formula: sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-1 -2)^2 + (-5-5)^2)
distance = sqrt(109)
Distance = 10.44
Answer:
They both include (-8,5)
Step-by-step explanation:
Answer:
Delta Ft = 70*3 - 42*7 = 168 #$
X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:
x=2y
2(10y+x)=12+(10x+y)
We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4
x=2y
x=2(4)=8
The number is: 10y+x=10*4+8=48
Answer: the number is 48.
b)
the number is: 10x+y
we can suggest this system of equations:
8(x+y)=(10x+y)+19
x=y-2
We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3
x=y-2
x=3-2=1
The number is: 10x+y=10*1+3=13
Answer:the number is 13.
c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:
y=2x
2(10x+y)=9+(10y+x)
We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3
y=2x
y=2*3=6
The number is: 10x+y=10*3+6=36
Answer: the number is 36
