Answer:
Step-by-step explanation:
a^2+6^2 = 23^2
a^2 = 23^2 - 6^2
a^2 = 529 - 36
a^2 = 493
a = √493
a = 22,20
The value of x when y is 14.4 is 5.
It is given that
y ∝ 1/x
y = k/x....(1)
Where k is a constant of proportionality
<h3>What is the constant of proportionality?</h3>
The constant of proportionality is the ratio that relates two given values.
When y =6, x=12
Means, 6 = k/12
k = 72
Putting the value of k in equation (1)
y = 72/ x
14.4 = 72/ x
x = 5
Therefore, The value of x when y is 14.4 is 5.
To get more about the constant of proportionality visit:
brainly.com/question/1835116
This is the answer for the first one
<u>Answer:
</u>
The equation of the line with slope -3 and passes through (2,-1) is y = -3x + 5
<u>Solution:</u>
In the question it is given that the line passes through the point (2,-1) with slope (m) = -3. We have to find out the point slope form and slope intercept form of the equation.
We know the point - slope form of an equation is given by


Substituting the values in the point slope form of the equation we get
(y-(-1)) = -3(x-2)
(y+1) = -3 (x-2)
is the point slope form of given line
We know the slope intercept form of a line is given by
y = mx +c
Here y = -1 , x = 2 and m = -3
Substituting the values in slope intercept form equation we get
-1 = (-3)2 + c
⇒-1 = -6 + c
⇒-1+6 = c
c = 5
Thus the slope intercept form of equation is y = -3x+5