Equation of the given line is:
y = 3x + 2
Slope of the line = m = 3
Since we are to find equation of line parallel to this line, the slope of new line will be the same as slope of parallel lines is the same.
So we are to find a line with slope 3 and passing through the point (10,1). Using the point-slope form of equation we can write:
y - 1 = 3(x - 10)
y = 3x - 30 + 1
y = 3x - 29
⇒
- 3x + y = 29
So option C gives the correct equation of the line.
Answer:
780
Step-by-step explanation:
7.8 x 10 is 78. 1.0 x 10 is 10. Multiply both and get 780
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
As it is a composite shape we would split the shape up so we get a triangle and a square
Then we would work out the area of the square and the triangle
Area of a square = length x width
Area of a triangle = 1/2 base x height
Area of a square = 10 x 15 = 150
Area of a triangle = 1/2 15 x 5 = 37.5
(5 is the height of the triangle as you do 15-10 to work out the height of just the triangle
To get the total area we just combine both areas using addition
37.5+150=187.5
Answer:187.5ft squared
Hope this helped
Everything outside the parabola. Point E and point A.