Answer:
it simple a+b=ab
Step-by-step explanation:
bc=bc+c
hope it helps
Answer: Option C) Raj forgot the negative when substituting -15+9x for y.
Solution:
(1) 9x-y=15
(2) 2x+8y=28
Isolating y in the first equation. Subtracting 9x both sides of the equation:
(1) 9x-y-9x=15-9x
Subtracting:
(1) -y=15-9x
Multiplying both sides of the equation by -1:
(1) (-1)(-y)=(-1)(15-9x)
(1) y=-15+9x
Then Raj found the value of y. It's not option D.
Substitutng y by -15+9x in the second equation:
(2) 2x+8(-15+9x)=28
Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.
Eliminating the parentheses applying the distributive property in the multiplication:
(2) 2x-120+72x=28
Adding similar terms:
(2) 74x-120=28
Solving for x. Adding 120 both sides of the equation:
(2) 74x-120+120=28+120
Adding:
(2) 74x=148
Dividing both sides of the equation by 74:
(2) 74x/74=148/74
Dividing:
(2) x=2
Solving for y: Replacing x by 2 in the first equation:
(1) y=-15+9x
(1) y=-15+9(2)
Multiplying:
(1) y=-15+18
Subtracting:
(1) y=3
In triangle, ABD,
AD²= AB²+BD²
AB² = AD²-BD²
AB² = 18²-9² = 324-81 = 243
AB = √243
In triangle, ABC,
AC² = AB²+BC²
AC² = (√243)²+(13)²
AC² = 243+169
AC = √412
AC = 20.29
Answer:
The equation is true.
Step-by-step explanation:
Simplify. Combine like terms:
3x + 15 = (2x + x) + (10 + 5)
3x + 15 = (3x) + 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3x and 15 from both sides:
3x (-3x) + 15 (-15) = 3x (-3x) + 15 (-15)
3x - 3x = 15 - 15
0 = 0
~ True. The two expressions are equal to each other.
~
Answer:
Area of a triangle = A =
Step-by-step explanation:
Given Data:
height of a triangle = h = 15 in
base of a triangle = b = 2 feet = 2*12 =24 in
To Find Out:
Area of a triangle = A = ?
Formula:
Area of a triangle = A = 
Solution:
Area of a triangle = A = 
Area of a triangle = A = 
Area of a triangle = A = 
Area of a triangle = A =