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Cloud [144]
3 years ago
9

Please answer as soon as possible

Mathematics
2 answers:
Gre4nikov [31]3 years ago
6 0

For this case, we must find the equation of the line that passes through the given points. The equation is of the form:

y = mx + b

Where:

m: It's the slope

b: It is the cutoff point with the y axis

Having two points, we can find the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\(x_ {1}, y_ {1}) = (0,3)\\(x_ {2}, y_ {2}) = (7,0)

Substituting:

m = \frac {0-3} {7-0} = - \frac {3} {7}

We have an equation of the form:

y = - \frac {3} {7} x + b

We substitute a point to find "b":

3 = - \frac {3} {7} (0) + b\\3 = b

Finally, the equation is:

y = - \frac {3} {7} x + 3

Answer:

Option C

Alik [6]3 years ago
4 0

Answer:y=3/7x+3 since 3 is the y intercept and you have to hit the positive 7 in the x intercept.

Step-by-step explanation:

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\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})~\hspace{10em} \stackrel{slope}{m}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{6}(x-\stackrel{x_1}{3})\implies y-4=6x-18 \\\\\\ y=6x-14\implies -6x+y=-14\implies 6x-y=14

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3 years ago
23
denpristay [2]

Answer:

Actual height of the building is 670 m

Step-by-step explanation:

We have been the actual height of a Ferris wheel which is 134 m. Along with it we are also given the scaled down heights of a Ferris wheel and a building. Using this data we have to find the actual height of a building.

Actual height of Ferris wheel = 134 m.

Height of Ferris wheel using the scale = 0.65 cm

Height of building after using the scale - 3.25 cm

Let, the actual height of building be x meters.

Since, the same scale is being used, the ratio of actual heights to that of scaled down heights must be the same for both objects.

i.e.

Ratio of Actual Height to scale height of Ferris Wheel = Ratio of Actual Height to scale height of the building

Using the values, we get:

134:0.65 =x:3.25\\\\\frac{134}{0.65}=\frac{x}{3.25}\\\\ \frac{134}{0.65} \times 3.25 = x\\\\  x=670

The units of actual heights are in meters, so this means the actual height of the building is 670 m

5 0
3 years ago
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