Let's calculate the slope of the A(3,1.5) and B(5, 2.5)

The formula of the slope m =(y₂-y₁)/(x₂-x₁)

m = (2.5 - 1.5)/(5 - 3)

m = (1)/(2) = 0.5
Aaron rate for mowing lawns is 0.5 Acre/Hour

8 0

3 years ago

Given triangle ABC with altitude segment AD labeled x. Angles ADB and CDA are _____1._____ by the definition of altitudes, makin

aleksandr82 [10.1K]

Answer:

Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.

Step-by-step explanation:

6 0

3 years ago

The number of exports is shown as g(x). Use the data in the table below, representing both functions, to explain to your boss th

siniylev [52]

Step-by-step explanation:

Given the table:

Month f(x) = Number of imports g(x) = Number of exports

January (1) 3 1

February (2) 4 3

March (3) 5 5

April (4) 6 7

From the table, it is clear that:

Number of imports = number of month + 2

$f(x) = x + 2$

also

Number of exports = 2(number of month) + 1

$g(x) = 2x - 1$

Therefore, number of imports equals the number of month plus one. i.e. $f(x) = x + 2$ , which is a linear function.

If we compare it with slope-intercept form of the line

$y=mx+b$

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e. $g(x) = 2x - 1$

Here,

slope = m = 2

y-intercept = -1

3 0

3 years ago