Answer:
y≤-1/3 (fraction)
And on the number line it will start from -1/3 (-0.333) and go less than -1/3 ( to the left, and it will be shaded
Step-by-step explanation:
First we expand the brackets, making it -15y+12≥17
Then we move 12 to the other side, making it negative, -15y≥17-12
Simplify, -15y≥5
Then we divide on both sides to isolate y, flipping the greater than sign to less than because when you divide or multiply by a negative number, the sign flips. y≤5/-15
Then we simplify by dividing the fraction by 5, making it -1/3. y≤-1/3
If you have any doubts, inform me
Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k = = = 0.5, hence
y = 0.5x ← equation of variation
Answer: 3 1/8
Step-by-step explanation: 8 goes into 25 3 times leaving 1/8 left so it would be 3 1/8.
a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
______________________________________
<h2>Let's find the value of
x :</h2>
STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
So :
Add sides 5
Subtract sides minus 2x
Collect like terms
Thus the measure of angle T equals :
Now just need to put the value of x which we found :
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b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
As the question told :
and ,
Thus :
Subtract sides minus x
Collect like terms
Divide sides by 2
Simplification
So ;
And we're done.