Equation of the line in slope-intercept form is y = -1/5 x + 9
Step-by-step explanation:
- Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.
⇒ y = -1/5 x + b ------ (1)
- Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)
⇒ 9 = -1/5 × -10 + b = 2 + b
⇒ b = 9 - 2 = 7
- Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.
⇒ y = -1/5 x + 7
It can also be written as 5y + x = 35
Answer:
f(-2) = 4
f(0) = 6
f(5) = 11
Step-by-step explanation:
You just need to plug in the different values of x into the equation
f(x)=x+6
When x = -2, then f(-2) = -2 + 6 = 4
When x = 0, then f(0) = 0 + 6 = 6
When x = 5, then f(5) = 5 + 6 = 11
Answer:
Step-by-step explanation:
We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.
We know that direction of vector with components 
can be determined by 
.
Upon substituting the components of given vector in above formula, we will get:
Upon rounding to nearest degree, we will get:
Therefore, the direction angle for vector v is 31 degrees.
Answer:
10 degrees
Step-by-step explanation:
(5x(10))+3=53 degrees
(3x(10))+7=37 degrees
53+37=90 degrees
Answer:
A. 165 ft²
Step-by-step explanation:
volume = (½×5×6) x 11
= 15 × 11
= 165 ft²
