So you know the slope is 2/3. We can write the equation y=mx+b and plug in the value we know to get y=(2/3)x+b. Since the line goes through the point, (-5,6) our equation must be true when the x and y value are plugged into the equation. We get (6)=(2/3)(-5)+b. Solving for b, we get 6=(-10/3)+b then b=28/3. This means our formula is y=(2/3)x+28/3
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Answer:
4/93 or 0.04301075...
Step-by-step explanation:
Reduce the expression by cancelling the common factors
Answer:
so principal amount is $7862.07
Step-by-step explanation:
Given data
rate = 7*1/4 % = 29/4 %
interest = $190
time = 4 months = 4/12 year
to find out
principal
solution
we know the simple interest formula i.e.
interest = ( principal × rate × time ) /100 ..................1
now put all value rate time and interest in equation 1 we get interest here
interest = ( principal × rate × time ) /100
190 = ( principal × 29/4 × 4/12 ) /100
principal = 190 × 12 ×100 / 29
principal = 7862.068966
so principal amount is $7862.07
The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,

Here,
, adj = PR and hyp = 10
Substituting these values in the formula, we get,

Multiplying both sides by 10, we get,

Substituting the value for cos 64, we get,

Multiplying, we have,

Rounding off, we get,

Thus, the length of PR is 4.4 units.