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Cloud [144]
3 years ago
11

The relative locations of Pedro's house, the grocery store, and the bank are shown in the diagram.

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0

Answer: Is 9

Step-by-step explanation:Took the test and is just 9 got 100% good luck ..

jolli1 [7]3 years ago
4 0

Answer:

9.19 mi. is the distance between Bank and Grocery store.

Step-by-step explanation:

As we know in a given triangle with sides a, b, c which are the opposite sides of ∠A, ∠B, ∠C, follow the property

\frac{a}{sinA} = \frac{b}{sinB}=\frac{c}{sinC}

Now we apply this property in the given triangle.

Let the distance between Grocery store and Bank = x mi

\frac{11}{sin75}=\frac{x}{sin54}

x=\frac{(sin54)(11)}{sin75}

\frac{(.81)(11)}{.97}=9.19

So the answer is 9.19 mi.

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3 years ago
Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1
natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

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The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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On further simplification, we get

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The standard form of a circle is:

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Substitute h=-2, k=1 and r=\sqrt{13}.

(x-(-2))^2+(y-1)^2=(\sqrt{13})^2

(x+2)^2+(y-1)^2=13

Therefore, the equation of the circle is (x+2)^2+(y-1)^2=13.

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3 years ago
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The y-intercept is -4 because it passes through the vertical line a (y) at point -4.
The correct answer is B.
Hope this helps!
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Step-by-step explanation:

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