Slope-intercept form is:
y = mx + b
"m" being the slope, "b" being the y-intercept(when x = 0)
You first isolate the "y" in the given equation.
y - 2 = 3(x + 7) Multiply the 3 into (x + 7)
y - 2 = 3x + 21 Add 2 on both sides to get "y" by itself
y = 3x + 23
For the equation of the line to be perpendicular to the given equation, the slope has to be the opposite(you flip the sign and the number of the given slope)
For example:
slope = -2
the perpendicular line's slope = 1/2(positive)
slope = 4/5
the perpendicular line's slope = -5/4(negative)
The given slope is 3 or , when you flip the sign and the number, the perpendicular line's slope is
Now you need to find b, to do so you plug in the point (4,2) into the equation
Add 4/3 on both sides
Make the denominators the same
Your equation is:
<u>Let's first gather all the information we have</u>:
<u>Let's put that into standard form</u>
- (h, k): center's coordinate
- r: radius
<u>To put that equation into general form</u>:
⇒ expand all the quadratics on one side and move the radius squared
to the same side as the quadratics
<u>Answer: x² + y² + 6x - 4y - 12 = 0</u>
<u></u>
Hope that helps!
#LearnwithBrainly!
Answer:
<h2>88.2</h2>
Step-by-step explanation:
(look at the picture)
We have opposite and adjacent. Therefore we must use the tangent:
Substitute:
<em>multiply both sides by 500</em>
Answer:
#4=10.5
#5=48
Step-by-step explanation:
The formula for the triangle for area is 1/2 time base times hight
The forumale fot the triangle for volume is 1/2 time base times hight
So for number #4 it will be 1/2 x 3 x 7
and number #5, it will be 1/2 x 8 x 12
Answer:
12
Step-by-step explanation:
that is because 20 of 60 is 12
60X20/100=12