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ankoles [38]
3 years ago
5

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (5,-4); m = -1

Mathematics
2 answers:
cestrela7 [59]3 years ago
5 0

Answer:

y + 4 = - (x - 5)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b) = (5, - 4) , then

y - (- 4) = - 1 (x - 5) , that is

y + 4 = - (x - 5)

STALIN [3.7K]3 years ago
4 0

Answer:

y+4=-(x-5)

Step-by-step explanation:

Point-slope form equation is written as:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is the point which the line passes through  so to to find the equation of line which passes through the point

(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:

y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5

since we need it point-slope form we leave it like this

y+4=-(x-5)

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2 years ago
A polling company reported that 33​% of 2302 surveyed adults said that they play basketball. Complete parts​ (a) through​ (d) be
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Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33​% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

33\% \text{ of } 2302 = \frac{33}{100}\times 2302

                   = 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

=  \frac{272}{2302}\times 100  = 11.82% ≈ 12%

3 0
3 years ago
Why does the liquid in a thermometer rise on warm days and drop on cold days
abruzzese [7]
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3 years ago
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Answer:

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Step-by-step explanation:

To divide

\frac{r_{1(cosx_{1}+isinx_{1})  } }{r_{2}(cosx_{2}+isinx_{2})   }

= \frac{r_{1} }{r_{2} } [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

\frac{2(cos90+isin90}{4(cos50+isin50)}

= \frac{2}{4} ( cos(90 - 50)° + isin(90 - 50)°

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8 0
3 years ago
Find the perimeter of the following triangle. Round your answer to the nearest hundredth.
vladimir2022 [97]

Step-by-step explanation:

step 1. The perimeter (P) is the length around the triangle.

step 2. P = 6 + 5 + L (the length of the hypotenuse)

step 3. L = sqrt(6^2 + 5^2) = sqrt(61) where sqrt is the square root

step 4. P = 11 + sqrt(61) = 18.81.

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2 years ago
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