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2 years ago

Find the slope of the graph

Mathematics

2 answers:

balu736 [363]2 years ago

5 0

WAIT i think we’re doing the same assignment

mr Goodwill [35]2 years ago

3 0

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

2 years ago

100 Freebie points!!! YW Nerds

blondinia [14]

Thanks for the points.

8 0

2 years ago

Read 2 more answers

Given ASTU and ADEF, what is mZU?

salantis [7]

Answer:

Maybe the same as the angle of F (46)

Step-by-step explanation:

If you see the two shapes are the same. but different size. so therfore the angles are same.

3 0

2 years ago

A container holds 84 cups of water. How much is this in gallons

kap26 [50]

5.25 gallons is your answer

8 0

3 years ago

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres

Alborosie

Answer:

79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

BS = 90 ft
m∠BSG = 62°
BG = x

<u>Use sine and solve for x:</u>

BG/BS = sin ∠BSG
sin 62° = x / 90
x = 90 sin 62 deg
x = 79 ft (rounded)

4 0

2 years ago

Find the slope of the graph​

Find the slope of the graph