Answer:
Step-by-step explanation:
All lines in the plane are of the form
y = mx+b
<u><em>The intersection with the Y-axis is obtained by replacing x with 0 </em></u>
<u><em>The intersection with the X-axis is obtained by replacing y with 0 </em></u>
If we want that the Y-intercept = -5, then
-5 = m(0)+b
So b = -5
Our temporal equation is then
y = mx-5
If we want that the X-intercept = 7, then
0 = m(7)-5
7m = 5
m = 5/7
So our final equation is
Attached is the graph of the line
Answer:
5x + 10y + 5z
Step-by-step explanation:
Given the expression
Expand the parenthesis using the distributive law;
Hence the required solution is 5x + 10y + 5z
Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = = 12
Then
length of chord = 2x = 2 × 12 = 24 cm