Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
Answer:
Step-by-step explanation:
3.
add exponents
4.
multiply exponents
5.
distribute and multiply exponents
6.
multiply and then add exponents
7.
distribute and multiply exponents
8.
multiply and then add exponents
Answer:
225
Explanation:
∠ADC is a right angle [definition of altitude]. ∠ADC = 4x - 10, and since all right angles are 90° >> 4x - 10=90 >> 4x -10+10= 90+10 >> 4x=100 >> 4x/4=100/4 >> x=25.
BD+DC=BC [Between-ness of points] >> 4x + 5x -3=BC >> we know that x=25, so by substitute property >> 4*25+5*25 -3=BC >> 100+125 -3=BC >> 222=BC
Hey there!
First, find the slope of the actual original pair of points.
The slope formula is:

So now, substitute the points in, whichever order you substitute the points into the equation doesn't matter, as long as the ones substituted in with the same subscript number.

\
Once you subtract, you get:

So the slope is 11/10.
A line that is parallel to another has the exact same slope that that another line has.
So therefore the line that is
parallel has a slope of 11/10.
Perpendicular is another story. You take the reciprocal of the slope of the other line, and then change the sign before it: ex: negative would become positive.
So therefore the line that is
perpendicular has a slope of -10/11.
(sqrt) of (3/4)=0.75=0.866
0.866 is your answer