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4 years ago

What is the slope of the line passing through the points (−1, 3) and (4, −7) ?

Mathematics

2 answers:

Colt1911 [192]4 years ago

8 0

The slope is -2:) hope this helped!!

Lubov Fominskaja [6]4 years ago

8 0

Negative -43 answer MA mem

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Identify the y-intercept for the equation: y=2x+50

Alexus [3.1K]

Answer:

(0,50)

Step-by-step explanation:

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3 years ago

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Question : Find if the coordinates given lie on the circles below: (a) Does (4,2) lie on the circle with equation

wel

Answer:

point lies on circle

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then point lies on circle.

(4 - 1)² + (2 + 2)² = 3² + 4² = 9 + 16 = 25 = right side

Then point (4, 2 ) lies on the circle

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3 years ago

Round each number to the place of underlined digit: <br> *1*60,656<br> 1-is underlined

Vinvika [58]

take the number to the right of the underlined digit. if its 4 or less, the digits of the underlined one to the left stay the same, while the digits on the right are turned into 0's.

I'll do a few to help you out:

1. *1*60,656 = 200,000

2. *1*49,590 = 100,000

3. 117,*8*21 = 117,800

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3 years ago

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The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.

Akimi4 [234]

Answer:

Error in the sphere's surface: 29 $cm^2$ and relative error in surface measure: 0.011

Error in the sphere's volume: 205 $cm^3$ and relative error in the volume measure: 0.017

Step-by-step explanation:

(a)

The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

$l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm$

and with regards to the error:

$dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm$

then when we use the formula for the sphere's surface, we get:

$S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2$

Then the relative error in the surface is:

$\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011$

(b)

Use the formula for the volume of the sphere:

$V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3$

Then the relative error in the volume is:

$\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017$

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3 years ago

what is three billion,six hundred five million,twenty thousand,nine hundred eighty two in standard form

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The answer is 36,200,982

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4 years ago

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