Answer:
Calculating the Actual Distance using the Scale
If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.
Step-by-step explanation:
Answer:
294.5 m²
Step-by-step explanation:
shaded region = area of major sector + area of triangle
central angle of major sector = 360° - 130° = 230°
area of sector = area of circle × fraction of circle
A = π × 11.1² × 
= 
≈ 247.3 m²
area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²
shaded area = 247.3 + 47.2 ≈ 294.5 m²
Answer:
rate of change is 4.
Step-by-step explanation:
rate of change is the slope, so, pick any two relations given to us in the table.
(-3, -14) and (-1, -6).
slope = y2 - y1/ x2 - x1
slope = -6 - (-14)/-1-(-3)
slope = 8/2 = 4.
the rate of change is 4.
Answer:
It is a factor
Step-by-step explanation:
[x³ -7x² + 8x + 16] ÷ (x + 1)
[x³ + x² - 8x² - 8x + 16x + 16] ÷ (x + 1)
[x²(x + 1) - 8x(x + 1) + 16(x + 1)] ÷ (x + 1)
x² - 8x + 16 and tye remainder is 0.
So, yes (x + 1) is a factor
We can use substitution or elimination
Let’s use substitution
Make slope intercept equation for the first equation
Y = -x + 5
Now plug in the y value for the second equation
-5x - 4(-x + 5) = -18
-5x + 4x - 20 = -18
-1x = 2, x = -2
There is one solution
