Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
Answer:
A right square pyramid has the following dimensions:
The side length of the base is 5 inches
The height is 9 inches.
What is the volume of the pyramid
Answer:
x = 5
y = 0
Step-by-step explanation:
3x + y = 15
3x -y = 15
Add the two equations;
6x = 30
Inverse operations;
6x = 30
/6 /6
x = 5
Back substitute;
3(5) + y = 15
15 + y = 15
y = 0
Answer:
The length of the third side AC = 3.60 inches
Step-by-step explanation:
Given first side of the length of the right angle triangle (AB )
a = 2 inches
Given second side of the length of the right angle triangle (BC )
b = 3 inches
By using Pythagorean theorem
AC² = AB² + BC²
c² = a² + b²
c² = 4 + 9
c² = 13
c = √13 = 3.60 inches
<u><em>Final answer:-</em></u>
<em>The length of the third side AC = 3.60 inches</em>
Answer:
67
Step-by-step explanation:
Any four sided shape has 360 in total angles
You have two right angles=180
so your remaining angles also equal 180 because 360-180=180
set the equation: 15x+8+10x-3=180
add like terms: 15x+10x=25x 8-3=5 25x+5=180
move the five tot he other side to isolate the x: 25x=180-5 25x=175
divide 175 by 25 to get x by itself: x=175/25 x=7
plug in x: 10x-3 10(7)-3 70-3 67
the angle required = 67 degrees