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3 years ago

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On a coordinate grid, a lighthouse is located at (10, 70) and a sailboat is located at (80, 20). If the units on the grid repres

ent yards, what is the direct distance between the lighthouse and the sailboat to the nearest yard?

1 answer:

prisoha [69]3 years ago

7 0

I got 4.6 after plotting the points on a graph and using pythagorean theorem

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What is the range of the given function?

Semenov [28]

{ (-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}

The range:

{ y | y = -9, -3, 0, 5, 7 }

5 0

3 years ago

One hundred people are surveyed and asked if they trust candidate A or candidate B or candidate C in a local election. People ar

ElenaW [278]

Answer:

5 people trust none of the candidates

Step-by-step explanation:

To know how many people surveyed trust none of the candidates we need to find:

People that trust all three candidates: 5
People that just trust candidate B and C: This is equal to people that trust candidate B and C less people that trust all three candidates. So it is equal to: 17 - 5 = 12
People that just trust candidate A and C: This is equal to people that trust candidate A and C less people that trust all three candidates. So it is equal to: 12 - 5 = 7
People that just trust candidate A and B: This is equal to people that trust candidate A and B less people that trust all three candidates. So it is equal to: 7 - 5 = 2
People that just trus candidate C: This is equal to the people that trust candidate C less people that just trust candidate B and C less people that just trust candidate A and C less people that trust all three candidates. So, it is equal to: 48 - 12 - 7 - 5 = 24
People that just trus candidate B: This is equal to the people that trust candidate B less people that just trust candidate B and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 44 - 12 - 2 - 5 = 25
People that just trus candidate A: This is equal to the people that trust candidate A less people that just trust candidate A and C less people that just trust candidate A and B less people that trust all three candidates. So, it is equal to: 34 - 7 - 2 - 5 = 20

Therefore, we can calculate how many people surveyed trust at least one candidate by the sum of the previous quantities as:

5 + 12 + 7 + 2 + 24 + 25 + 20 = 95

Finally, there are 100 people surveyed and 95 people trust at least one candidate, so 5 people trust none of the candidates.

3 0

3 years ago

Read 2 more answers

Vitek1552 [10]

Answer:

B) -1

Step-by-step explanation:

This is the equation of a parabola which can be expressed as

y = a(x-h)² + k (1)

where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half

Parabolas are symmetric around the line of symmetry

Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9

Substituting equation (1) we get

y = a(x -0)² + 9 = ax² + 9

To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above

A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0

Plugging these values we get

0 = a(3)² + 9

a = -9/9 = -1

7 0

2 years ago

How many solutions will the equation have?<br> |x- 13| - 5= -5

Paladinen [302]

Answer: x=13

Step-by-step explanation: Hope this help :D

7 0

3 years ago

Read 2 more answers

The length of Hillcrest Garden is 6 feet more than its width. A 3-foot wide walkway surrounds the outside of the garden. The tot

Ne4ueva [31]

Answer: The dimensions of the garden would be 18 feet and 24 feet.

Step-by-step explanation:

Let the width of garden be 'x'.

Let the length of garden be $'x+6'$

Since there is 3 foot wide walkway surrounds the outside the garden.

Area of walkway = 288 square feet

So, According to question, it becomes,

$2z(x+y+2z)\\\\288=2\times 3(x+x+6+2\times 3)\\\\288=6(2x+6+6)\\\\288=6(2x+12)\\\\\dfrac{288}{6}=2x+12\\\\48=2x+12\\\\48-12=2x\\\\36=2x\\\\x=\dfrac{36}{2}\\\\x=18$

Width = 18+6 =24 feet

Hence, the dimensions of the garden would be 18 feet and 24 feet.

4 0

3 years ago