Answer:
x = 2
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
x² = 14² + 10² = 196 + 100 = 296
Take the square root of both sides
x = 
= 2
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
Step-by-step explanation:
it is an isoceles triangle (equally long legs).
there is a right angle at W, so YW is the height of the isoceles triangle XYZ.
that means W splits XZ in half.
therefore,
ZW = XZ/2 = 38/2 = 19
multiplying both sides by x^2
simplifying
dividing by 7
Answer: 6
Step-by-step explanation: Because, 6 is the highest number you can multiply both with, 6x12 = 72 and 6x7 = 42
