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ivann1987 [24]
2 years ago
7

The slope of a line is 2 and the point (1, 1) lies on the line. What is the y-intercept of this line? (0, -1) (0, 5) (-2, 0)

Mathematics
1 answer:
artcher [175]2 years ago
4 0

Answer:

(0, -1)

Step-by-step explanation:

It's helpful if we think of slope in the context of rise over run.

Since the point (1, 1) lies on the line, because of the slope 2, if we subtract x by 1 to get to x = 0, then we'll be subtracting y by 2.

By that logic, the answer must be (0, -1).

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Answer:

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Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: s=\pi r\sqrt{r^2+h^2}

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2}  \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416

So, the height of right circular cone is h = 15.416 cm

4 0
2 years ago
Fred and Wilma have a booth at the county fair. Fred is selling bowling balls, and has made $129. Wilma is selling bowling shoes
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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Answer:

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Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

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As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

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Also, Ted saved $100 more than Hector.

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Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

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Opening parenthesis and solving it.

⇒ Gina´s saving= \$ 2x+\$50

Algebric expression of Gina´s saving= 2x+50

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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