Answer
:=5
Step-by-step explanation:
Answer:
x = y · 11
Step-by-step explanation:
Since x is divided by 4, we have to multiply each side by 4.
x-7=y · 4 To get x by itself, add 7 to each side to get x = y · 11
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Answer:
The given expression 
on multiplying is 
Step-by-step explanation:
Consider the given two expressions 
and 
We have multiply both expressions,
To multiply two terms first multiply constant numbers that is 6 × 2 = 12
For x , y and z apply property of exponent,
Then power of x together will be,
Similarly for y powers,
Since first term do not have any expression for z so it will remain same.
Thus, the given expression on multiplying become,
is
