Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
Answer:
z is less than 3/4
Step-by-step explanation:
Point- Slope form is
y - y1 = m (x - x1)
m = slope, (x1, y1) = point
Slope intercept form is y = mx + b
m = slope, b = y-intercept
In order for two lines to be parallel, they must have the same slope, so in this case our slope, m = 2. Now use point-slope form to insert the point and solve.
y--2 = 2 (x --5)
y + 2 = 2x + 10
y = 2x + 8
Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.
Now compare this form with the tiven equation y=4x-9 to get the value of m.
So, m= 4.
Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.
Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).
The point intercept form of a line is,
(y-y1)=m(x-x1)
So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,
y-3=4(x-(-5))
y-3=4(x+5) Since -(-5)=+5
y-3=4x+20 By distributing property.
y=4x+20+3 Adding 3 to each sides.
y=4x+23
So, the slope-intercept form of that parallel line is y=4x+23.
