Answer:
5 Miles
Step-by-step explanation:
Given, Height of the tower is 3 miles and the distance from the base is 4 miles.
According the Pythagoras Theorem, the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
So, putting the data in Pythagoras theorem, let's consider A= 3 and B= 4.
So C will be,
sqrt(A^2 + B^2 )= C
Or, sqrt( 3^2+ 4^2)= C
Or, sqrt( 9+ 16) = C
Or, sqrt(25) = C
Hence, C = 5
So, The distance would be 5 Miles.
We have that
N 11)
a) graph the equation y=x²-3x-10
using a graph tool
see the attached figure
b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5
see the attached figure problem 11
N 12) what is the value of x in the equation?
3x²=7x
3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0
x1=0
3x-7=0------> 3x=7------> x=7/3
the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12
N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6
N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0
using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0
the values of x are
x1=-3/2
x2=4
If you’re asking for a ratio of blue to yellow cards it’s 4:3
The answer i believe is C
The equation that represents a proportional relationship is m = -0.5b
<h3>
Proportional relationship</h3>
Two variables are said to be proportional if an increase in one variable leads to an increase in other variable and a decrease in one variable leads to an decrease in other variable.
Given that m ∝ b
m = kb
When m = 3, b = -6, hence:
3 = -6k
k = -0.5
m = -0.5b
Find out more on Proportional relationship at: brainly.com/question/15400901