What is the slope for y=200-5x
2 answers:
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Answer:
A = 11, B = 25/3, C = -1
Step-by-step explanation:
A linear function has the form:
f(x) = ax + b
(1)
f(3) = 8a + b = 8
f(5) = 5a + b = 9
Using the last 2 equations we can solve for 'a' and 'b'.
8a + b = 8 | 5a + b = 9
We multiply the second one by -1:
8a + b = 8 | -5a -b = -9
And then we add them together:
3a = -1
a =
We then solve for 'b':
5a + b = 9
5(-1/3) + b = 9
b = 9 + 5/3
b = 32/3 = .
We then use this to find A, B, C.
f(x) = (-1/3)x + 32/3
(2)
f(A) = -A/3 + 32/3 = 7
(3)
f(7) = -7/3 + 32/3 = B
25/3 = B
(4)
f(C) = -C/3 + 32/3 = 11
Step-by-step explanation:
I hope this helps.........
Answer:
THE FOLLOWING MEASURES ARE TRUE FOR THE QUILT:
1. a = 60°
3. The perimeter of the rhombus is 16 inches.
5. The length of the longer diagonal is approximately 7 inches.
Step-by-step explanation:
I have attached the picture describing the rhombus.
One by one we will check all the options:
As we can see that:
a+30°=90°
a = 90-30
1) a= 60° which is true
<u>Taking the triangle with the perpendicular x, and using pythagoras theorem, we get:</u>
=16-4 = 12
x= =3.46 ≠3
So option 2, is not true.
<em><u>Perimeter of rhombus= 4 x 4 = 16 inches</u></em>
So option 3 is correct
<em><u></u></em>
<em><u>Smaller Interior angles of rhombus = 30+30= 60°</u></em>
<em><u>Measure of greater interior angle of rhombus = a+a=60+60 = 120°</u></em>
So Option 4 is incorrect
<em>The length of the longer diagonal is the horizontal diagonal which is:</em>
x+x= 2x
2x= 2(3.46)=6.92 ≈ 7
So Option 5 is correct
