Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>
<u>Substitute values into the formula</u>
<u>Simplify values in the parentheses</u>
<u>Simplify exponents</u>
<u>Simplify by addition</u>
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
maybe this is not the full expression, as you wrote the line equation in a funny way.
I understand the following :
the line is
y = (-2/5)×x - 7
perpendicular means crossing at a right angle (90 degrees).
the slope of the original line is -2/5.
as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.
so, it is 5/2.
the equation for the perpendicular line looks like
y = (5/2)×x + b
now what is b ?
for this we use the specified point on the line : (4, -1)
and we put these values as x and y into the equation :
-1 = (5/2)×4 + b = 5×2 + b = 10 + b
b = -11
and so, the full equation of the perpendicular line is
y = (5/2)×x - 11
Good Afternoon! Here is your answer step by step!
Let's solve your equation step-by-step.
(z−5)(z+4)=52
Step 1: Simplify both sides of the equation.
z2−z−20=52
Step 2: Subtract 52 from both sides.
z2−z−20−52=52−52
z2−z−72=0
Step 3: Factor left side of equation.
(z+8)(z−9)=0
Step 4: Set factors equal to 0.
z+8=0 or z−9=0
z=−8 or z=9
Answer:
z=−8 or z=9
Have a blessed day! ❤
Answer:
3^3
Step-by-step explanation:
3x3x3=27
you would do PEMDAS
you do -3 times 4. then you do that and devide by -3.
