Answer:
A. m and n both are positive is correct choice.
Step-by-step explanation:
We have been given that When factoring a trinomial of the form ax2 + bx + c where a, b, and c are all positive. That means:
a>0
b>0
c>0
Then ac>0 as product of same sign numbers is always positive.
Positive produce ac is possible only when both factors are of same sign.
In this situation, b>0 is possible only if both numbers are positive.
Hence choice A. m and n both are positive is correct choice.
The x intercept is 1 and the y intercept is -3
To help you with problems like this, there is a great graphing website called Desmos where you can put in the equation and it will graph it for you. If you need to know how to find the intercepts, I can help with that too.
The x intercept is where the line crosses the x axis (side to side)
The y intercept is where the line crosses the y axis (up and down)
From the graph, we can say that the system can be represented by a linear function. A linear function has a standard form of:
y = mx + b where m is the slope and b is the y-intercept.
From the image, b would have a value of 48. The slope can be calculated as follows:
slope = ( 48 - 36 ) / (0 - 1) = -12
The equation can be written as:
y = -12x +48
or
12x + y = 48
About 400 zebras live at the game reserve.
The proportion would be
30/150 = 80/x
This is because 30 zebras are tagged out of 150 in one area. We know that they tagged 80 total zebras out of x total zebras.
To solve this, cross multiply:
x*30 = 150*80
30x = 12000
Divide both sides by 30:
30x/30 = 12000/30
x = 400
Let
x--------> the measure of the adjacent interior angle
y--------> the measure of an exterior angle at the vertex of a polygon
we know that
The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles
so
°
<u>Examples</u>
case 1)
<u>In a square</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle
case 2)
<u>an equilateral triangle</u>
°
so
°
In this case
The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle
therefore
<u>the answer is</u>
sometimes
