Hey there!
This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.
For x:
2x-5(0) =10
2x = 10
x = (5,0)
For y:
2(0) -5y = 10
-5y=10
y= (0,-2)
Now, to find the slope, we can easily convert it to slope intercept form:
y = mx+b
Where m is the slope and b is he y intercept.
2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)
Therefore, our slope is 2/5. Hope this helps!
Answer:
u need 2 equation to solve
Step-by-step explanation:
This is an increase and it increased by 40% because the difference between 140 and 100 is 40 which is 40% of 100.
Answer:
Angle BCA is 74 degrees, angle MBC is 21, angle MCB is 37, and BMC is 122
Step-by-step explanation:
First off, MBC was an angle that was bisected by point M, meaning that if you took half of angle ABC, you would get your answer.
(0.5)(42)=21
Since you already have two angle measures, being ABC and BAC, you can find angle BCA by adding the two angle measures up, then subtracting by 180 to get your answer:
180=64+42+BCA, which your answer will be 74 degrees.
Now that you have found angle BCA, you take half of that angle measure to then find angle MCB, because point M bisected angles ABC, BAC, and BCA.
(0.5)(74)=37
Finally, since you have found the angles MBC and MCB, in order to find angle BMC you will have to do the same application for BCA:
180=21+37+BMC, which your answer will be 122 degrees.
Hope this helps!
Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
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<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
