Answer:
The other sides of the square are
8x+12+16+8x,(8x+8x)+(12+16) and 16x+28
Step-by-step explanation:
Square:
- The all sides of a square equal.
- The sum of four angles is 360°.
- The diagonals bisect each other.
- The length of diagonals are equal.
Distributive property:
a(b+c)= ab+ac
Commutative property:
a+b= b+a
Like terms:
Like terms are terms that have the same variables and the power of the variable also same.
Given the length of the side is
=4(2x+3)+16+8x
=4.2x+4.3+16+8x [ Apply distributive property]
=8x+12+16+8x
=(8x+8x)+(12+16) [ separating like terms]
=16x+28 [Adding like terms]
The other sides of the square are
8x+12+16+8x,(8x+8x)+(12+16) and 16x+28
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
Answer:
The angles are 65° and 115°
Step-by-step explanation:
Let
x,y ----> the two side interior angles of two parallel lines
we know that
x+y=180° ----> equation A
x-y=50° ----> equation B
Adds equation A and equation B
x+x=180°-50°
2x=130°
x=65°
Find the value of y
x+y=180° -----> 65°+y=180° ----> y=180°-65°=115°
therefore
The angles are 65° and 115°
Answer:
The graph of f(x) is discontinuous at x= -3. The x and y-intercepts or he function f(x) are (4,0) and (0,-4) respectively. The graph of the function is a straight line.
Step-by-step explanation:
The given function is
Cancel out the common factor (x+3).
It is a linear equation and it will give a straight line.
Put x=0, to find the y-intercept.
Therefore the y-intercept is (0,-4).
Put x=0, to find the x-intercept.
Therefore the x-intercept is (4,0).
At x= -3 the value of denominator is 0, therefore the function is undefined for x= -3.
As x approaches toward x=-3 from left and right, the value of function approaches towards y=-7.
The function is discontinuous at x= -3.
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation:
