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Mamont248 [21]
2 years ago
5

Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a

90° left-hand turn, and drive 8 miles. How far
apart are the two cars now?
Answer: The cars are about____
miles apart.
Round your answer to the nearest tenth of a mile. Enter the number only!​
Mathematics
1 answer:
dimaraw [331]2 years ago
8 0

Answer:

  • <u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

  • hypotenuse² = leg₁² + leg₂²

  • hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

  • hypotenuse=\sqrt{208mile^2}=14.4mile^2, which is rounded to the neartest tenth of a mile.
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60:£3.Give the answer in lowest terms​
AysviL [449]

Answer:

20:£1

Step-by-step explanation:

To simplify a ratio is like like simplifying a fraction

Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.

Final Answer: 20:£1

3 0
2 years ago
Find a linear equation whose graph is the straight line with the given property.
jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4  + 9/8 / - 0.5  = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4  and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1)    (0.5 , -0.75)

C2)   ( 1. -3.75)

y = mx + c

-3.75 - - 0.75  /   1 - 0.5  = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 =  0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75   =  0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8    as common denominators of 1125/1000 is 9/8 as we divide by  125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0
2 years ago
what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)
miv72 [106K]

Answer:

The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is

<em>y = -1/2x</em>

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is <em>2</em>

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

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2 years ago
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skelet666 [1.2K]
First, find out what the greatest common factor is between 2, 4, and 5. 

<span>This is 20. So any number divisible by 20 is also divisible by 2, 4, and 5. </span>

<span>Now we find the list of numbers that are multiples of 20 between 67 and 113. </span>

<span>The solutions are: </span>

<span>80 and 100.</span>
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3 years ago
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