Answer:
-2y=-5x=3
Step-by-step explanation:
Make sure every variable is on one side of the equation and you get the answer.
Answer:
Graph will open same way and is narrower.
Step-by-step explanation
If: f(x)= x^4
f(-2x)= (-2x)^4
Negative sign usually flips the graph and make it open to the opposite direction. In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.
The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.
Think if the slope is 4 vs 1/4.
Hope this helps
The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Answer:
ABCD has four congruent angles.
Step-by-step explanation: