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2 years ago

What is the slope of the line in the graph?

Mathematics

1 answer:

vichka [17]2 years ago

4 0

Answer:

Hello,

answer slope =-3/4=-0.75

Step-by-step explanation:

Line is passing through (0,1) and (4,-2)

$\Delta y=-2-1=-3\\\\\Delta x=4-0=4\\\\Slope=\dfrac{-3}{4}$

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How many terms are in the following sequence? 131072, ..., 8, 4, 2

Klio2033 [76]

Answer:

17 terms

Step-by-step explanation:

131072 = 2^17

8 = 2^3

4 = 2^2

2 = 2^1

Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.

8 0

2 years ago

What is zero property power

krok68 [10]

<span> When raising an number to zero power you will always get 1. you raise both the numerator and the denominator</span>

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3 years ago

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

Find the domain and range of the relation.<br> {(3,-2) (2,1) (-1,0) (1,3)}

svp [43]

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

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2 years ago

How much rice will each person have if 3 people shared 1/2 lb of rice equally

svet-max [94.6K]

1/2 = 3/6

Each person would have 1/6 of rice.

6 0

2 years ago

Read 2 more answers