<u><em>Answer:</em></u>
Open
<u><em>Explanation:</em></u>
An open equation is an equation that has variables and CAN be solved
<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2
A false equation is one where both sides can NEVER be equal
<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7
A true equation is one having no variables and both sides are ALWAYS equal
<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7
Now, the given equation is:
4y + 8 = 6y + 3
Let's try to solve is:
4y + 8 = 6y + 3
6y - 4y = 8 - 3
2y = 5
y = 2.5
Therefore, the given equation contains a variable and can be solved which means that it is an open equation
Hope this helps :)
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24 ----- eqn 1
x + 4y = 8 -------- eqn 2
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12 = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
Answer:
9. It seems he was inactive/taking a break, as the line is completely straight.
I'm not sure about the others, but I hope that helps!
Step-by-step explanation:
Answer:
35ft squared
Step-by-step explanation:
First lets try solving the rectangular middle part
Width is 3 ft
Height is 5ft + 4ft = 9ft
3*9ft= 27ft. This is area of middle rectangular section
For the triangle, we subtract 3 from the rectangle from 11ft and divide by 2 because the two triangle on the edges are the same.
11-3=8
8/2=4
Triangle area formula = Base*Height / 2
4*4/2
16/2
4ft squared
and the other triangles area is also 4ft squared because they are congruent. So you add all the sections of the area up
27ft+4ft+4ft=35ft squared
35ft squared is the answer.
Hope this helps :)