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valina [46]
3 years ago
11

On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(1, 4), a

nd C(5, −2). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary. The minimum total distance the employee may have driven before getting stuck in traffic is
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0
The distance between Branch A and Branch B is given by the Pythagoras theorem

AB² = (Vertical Distance)² + (Horizontal Distance)²
AB² = (4-1)² + (1 - -3)²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5

BC² = (Vertical distance)² + (Horizontal distance)²
BC² = (-2 - 4)² + (5-1)²
BC² = (-6)² + (4)²
BC² = 36 + 16
BC² = 52
BC = 7.21

Half way of BC = 7.21 ÷ 2 = 3.6 miles

Total distance travelled from A to B and then halfway from B to C is 3.6+5 = 8.6 miles
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Daniel [21]
If it is discounted 25%, then u r actually paying 75%

0.75(119) = 89.25 (without tax)

sales tax = 7 1/2% = 7.5% = 0.075
89.25(1.075) = $ 95.94 <===


3 0
3 years ago
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A triangle has side lengths of 39, 80, and<br> 87. Is this triangle a right triangle?
iren2701 [21]

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

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2 years ago
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Solve. Will give brain thing
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Answer:

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-1/2 + (3/4 x 4/9)

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8 0
2 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
kumpel [21]

Answer:

12m

Step-by-step explanation

If the height of the ball after x seconds be modelled by the equation

h(x)=−(x−2)² +16

The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0

To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;

h(0) = -(-0-2)²+16.

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The height of the ball at the time the ball is thrown is 12m

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3 years ago
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For a sequence defined by f(1)=13 and 2f(n-1)+(n-2), which of the following is the value of f(4)
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Given that:
f(1)=13 and 2f(n-1)+(n-2)
then:
f(4) will be found as follows:
f(2)=2f(2-1)=2f(1)=2*13=26
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Thus:
Answer:(3) 108

6 0
2 years ago
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