Answer:
Step-by-step explanation: 1) 14.5 bc
We have the equation:
43.5 ÷ 3 = 14.500
Calculated to 3 decimal places.
2) They are all the same because they are the same numbers but in different places.
i hope this helps! =3
The approximate solution of this system of equations is
(x,y)=(-0.25,1.25)
<h3>What is an equation?</h3>
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.
Given that,
y = |x − 1| and y = 3x+2
y = |x − 1|
= (x-1) , for (x-1)>0 or x>1
and
y = -(x-1) , for(x-1)<0 or x<1
y = -x+1
Now, For x>1
y = x-1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = x-1
→ 3x-x = -1-2
→ 2x = -3
→ x = -3/2
→ x = -1.5 which is <1.
For x<1
y = -x+1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = -x+1
→ 3x+x = 1-2
→ 4x = -1
→ x = -1/4
→ x= -0.25 which is <1.
substitute the value of x = -0.25 in equation 1 for x<1.
y = -x+1
= -(-0.25)+1
y = 1.25
Hence, The approximate solution of this system of equations is
(x,y)=(-1/4,5/4)=(-0.25,1.25).
To learn more about equation from the given link:
brainly.com/question/9475812
#SPJ4
Both define y, so they are equivalent.
5x-9=2x+6
3x-9=6
3x=15
x=5
Then plug in x into any of the equations
y=2(5)+6
y=10+6
y=16
Final answer: (5,16)
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,




c > 16.64
Therefore the smallest possible whole number is 17 inches.
Answer:
<em>X</em> = 27 13/30
Step-by-step explanation:
First you need to find the least common denominator of 5 and 6 to get 30 so it is 25 5/30 + 7 12/30 + <em>x</em> = 60. From there you add the two together to get 32 17/30 + <em>x</em> = 60. Subtract 32 17/30 from both sides of the equation to get the value of <em>x</em> which comes out to 27 13/30.