2y + x = 4
x = -2y + 4
y = x^2 - 6x + 8
y = (-2y + 4)^2 - 6(-2y + 4) + 8
y = (-2y + 4)(-2y + 4) + 12y - 24 + 8
y = 4y^2 - 8y - 8y + 16 + 12y - 24 + 8
y = 4y^2 - 4y
4y^2 - 4y - y = 0
4y^2 - 5y = 0
y(4y - 5) = 0
y = 0 x = -2y + 4
x = -2(0) + 4
x = 4
4y - 5 = 0 x = -2y + 4
4y = 5 x = -2(5/4) + 4
y = 5/4 x = -10/4 + 4
x = -10/4 + 16/4
x = 6/4 which reduces to 3/2
so u have 2 sets of points that will work....
(4,0) and (3/2,5/4) <===
The height of the smaller rectangle, let us say is 5
5 x 4 = 20
(multiply height of rectangle to scale factor)
the length is 4
4 x 4 = 16
(multiply length of rectangle to scale factor)
to find larger factor, divide smaller with larger
16/20 = 1/4
scale factor should be 1/4
multiply 20 with 4
perimeter of larger should be 80
hope this helps
Answer:
x = 62
Step-by-step explanation:
X and 62 are vertical angles and vertical angles are equal.
x = 62
The solution of the expression is -1 ⇒ 3rd answer
Step-by-step explanation:
Let us revise some important rules on the number line
- If we add number to another number we move to right
- If we subtract a number from another number we move to left
∵ The expression is negative 2 minus 3 minus (negative 4)
∵ negative 2 = (-2)
∵ minus means (-)
(-2) minus 3 means move 3 units from (-2) to left, so you will pass -3, -4, and stop at -5
∴ (-2) - 3 = -5
∵ minus (negative 4) = - (-4)
- Remember (-)(-) = (+)
∴ minus (negative 4) = + 4
That means move 4 units to the right from -5, then you will pass -4, -3, -2, and stop at -1
∴ -5 + 4 = -1
∴ The expression (-2) - 3 - (-4) = -1
The solution of the expression is -1
Learn more:
You can learn more about the directed numbers in brainly.com/question/10364988
#LearnwithBrainly
Answer:
<em>The height of the cylinder 'h' = 4 inches</em>
Step-by-step explanation:
<u><em>Explanation</em></u> :-
<em>Given diameter of the cylinder ' d' = 10 inches</em>
Diameter of the cylinder <em>d = 2 r </em>
<em>Radius of the cylinder </em>
<em> </em>
Given Volume of the cylinder 'V' = 314 cubic inches
<em>Volume of the cylinder Formula</em>
<em> V = π r² h</em>
3 14 = 3.14 (5)² h
<em> h = 4</em>
<em>The height of the cylinder 'h' = 4 inches</em>
