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pogonyaev
2 years ago
11

Answer both answers please !

Mathematics
1 answer:
mariarad [96]2 years ago
8 0

Answer:

1. A                          2. D

Step-by-step explanation:

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John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept fo
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\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}

\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}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6

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What is the area of trapezoid ABCD ? Enter your answer as a decimal or whole number in the box. Do not round at any steps. units
lidiya [134]

Answer:

37.5 sq. units.

Step-by-step explanation:

The coordinate of vertices of trapezoid ABCD are given,

From the diagram it is clear the area of ABCD = \frac{1}{2}\times AB \times (AD + BC) {Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }

Now, AB = \sqrt{(- 3 - 1)^{2}+ (2 - 5)^{2}  } = 5 units

AD = \sqrt{(- 3 - 0)^{2}+ (2 - (-2))^{2}  } = 5 units

Again, BC = \sqrt{(1-7)^{2}+ (5 - (-3))^{2}  } = 10 units

Therefore, the area of trapezoid ABCD = \frac{1}{2} (10 + 5) \times 5 = 37.5 sq. units. (Answer)

We know, that the distance formula between two points (x_{1}, y_{1}) and  (x_{2}, y_{2}) is  

\sqrt{(x_{1} - y_{1} )^{2} + (x_{2} - y_{2} )^{2}  }.

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