X + 4/3 = - 2
x = - 10/3
i am a mathematics teacher. if anything to ask please pm me
The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.
Answer:
A = 64π units = about 201.06 units
Step-by-step explanation:
The formula for area is
A = πr^2, where r=radius.
Plug in our radius to get the area!
A = π8^2
<u>A = 64π = about 201.06 units</u>
This is a simple equation.
The equation is y = 1.6x with y being the miles and x being the kilometers.
Lets plug the kilometers in.
Y=1.6(7.7)
1.6 * 7.7 = 12.32
12.32 miles is equal to 7.7 kilometers
HOWEVER
There are about .6 miles in a kilometer, so if you typed this wrong I don't know.
It is still the same concept.
Y = .6x
Y = .6(7.7)
.6 * 7.7 = 4.8
In this case there are 4.8 miles in 7.7 kilometers
