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3 years ago

What is the slope of the line shown below (- 1, 8) (2, - 4)

Mathematics

1 answer:

suter [353]3 years ago

6 0

Answer:

The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)

Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4

Hence the gradient/ slope of the line is -4.

Step-by-step explanation:

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I need help on question 3!! geometry unit 5

Oduvanchick [21]

ANSWER:

angle 1 = 180°-35°-36° (angle sum of triangle)

= 109°

angle 3 = 180°-109°(adj angles on a str line)

= 71°

angle 2 = 180°-80°-71°

= 29°

6 0

2 years ago

Read 2 more answers

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

A map is drawn to scale so that 1.2 cm represents 30 miles.How many miles does 1.4 cm represent?

777dan777 [17]

40 miles hope this help[s

8 0

3 years ago

If you measure 5/6 meter how many twelfths have you measured

Alinara [238K]

1/6 = 2/12 because 12 is 2 times 6.
Multiply both numbers by 2 to get your answer:
5/6 = 10/12

4 0

3 years ago

Find each slope and y-intercept. Then graph each equation.

Sophie [7]

Answer:

1/2= slope

-3= y-intercept

Step-by-step explanation:

According to the formula, y=mx-b:

b= y-intercept
m= slope

6 0

2 years ago