Answer:
the difference of on acute angle and an obtuse is that acute is smaller then 90 degrees while obtuse is bigger
Step-by-step explanation:
Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.
Answer: 6, 8, 10, 12
Step-by-step explanation:
Given that x is the number, the 4 numbers would be
x, x + 2, x + 4, x + 6
so the two smallest numbers would be x and x + 2
and the two largest numbers would be x+4 and x+6
now set up an equation
x(x+2) = (x+4)(x+6) - 72
now FOIL
x^2 + 2x = x^2 + 6x + 4x + 24 - 72
combine like terms
x^2 + 2x = x^2 + 10x -48
subtract x^2 from both sides
2x = 10x - 48
subtract 2x from both sides
0 = 8x - 48
add 48 to both sides
48 = 8x
divide both sides by 8
6 = x
so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to
6, 8, 10, 12
Answer:In order to specify a line completely, all you need is
Step-by-step explanation:
co-ordinates of any one of the points it passes through (say, (x1,y1) ), and
its inclination (slope = m).
Its equation, by virtue of the definition of the slope then becomes,
y−y1x−x1=m
Whence, for our case,
y−2x+6=−12
which simplifies to
x+2y+2=0
Graph the inequality y> 2x +3
Solution
<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.
<u>Step 2:</u> Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
<u>Steo 3: </u>Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
