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Anuta_ua [19.1K]
3 years ago
12

If you are driving 75 MPH and if you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seco

nds?​
Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

50

Step-by-step explanation:

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What is the scale factor of the dilation?
Anvisha [2.4K]

Answer:

divide by 2

Step-by-step explanation:

to go to 12 to 6 , you will have to divide by 2

12/2 = 6

12 and 6 are on the same side in both triangles , that is why I used those two numbers to figure out the scale factor

7 0
3 years ago
Solve the following 3 × 3 system. Enter the coordinates of the solution below.
ICE Princess25 [194]

Step-by-step explanation:

2x - 3y - 2z = 4

[2] x + 3y + 2z = -7

[3] -4x - 4y - 2z = 10

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -3y - 2z - 7

// Plug this in for variable x in equation [1]

[1] 2•(-3y-2z-7) - 3y - 2z = 4

[1] - 9y - 6z = 18

// Plug this in for variable x in equation [3]

[3] -4•(-3y-2z-7) - 4y - 2z = 10

[3] 8y + 6z = -18

// Solve equation [3] for the variable z

[3] 6z = -8y - 18

[3] z = -4y/3 - 3

// Plug this in for variable z in equation [1]

[1] - 9y - 6•(-4y/3-3) = 18

[1] - y = 0

// Solve equation [1] for the variable y

[1] y = 0

// By now we know this much :

x = -3y-2z-7

y = 0

z = -4y/3-3

// Use the y value to solve for z

z = -(4/3)(0)-3 = -3

// Use the y and z values to solve for x

x = -3(0)-2(-3)-7 = -1

Solution :

{x,y,z} = {-1,0,-3}

6 0
3 years ago
Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it
kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

\dfrac 5 y - \dfrac 2 x = \dfrac{13}6

Multiply by 6xy to clear the fractions.

30x - 12y = 13 xy

That's a second degree equation, also known as a conic.  That one happens to be a hyperbola.  

30x = y(13 x +12)

y = \dfrac{30x}{13 x + 12}

Let's clear the fractions from the second equation, multiplying out common denominator xy:

\dfrac {36} x - \dfrac {24} y = 1

36y - 24 x = xy

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)

36(30x) -24 x(13x + 12) = 30x^2

1080 x - 312 x^2- 288 x = 30x^2

x(792 - 342 x)= 0

x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}

We have to rule out x=0 because it's in the denominator.

y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}

y = \dfrac{33}{20}

Answer: (44/19, 33/20)

8 0
3 years ago
You have $25 to buy 6 fishing lures. Write and solve an inequality that represents the prices you can pay per fishing lure.
Rus_ich [418]

We are given that we have $25 to pay for 6 fishing lures.

We can make an equality for this as follows:

Suppose price of one fishing lure is x dollars.

So we will use unitary method to find price of 6 fishing lures.

Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x

Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.

So creating an inequality,

6x\leq25

Now in order to find price for one fishing lure, we have to solve this for x.

Dividing both sides by 6 we have,

x\leq\frac{25}{6}

Converting to decimal,

x\leq4.167

Answer : The price of one fishing lure must be less than or equal to $4.167

6 0
3 years ago
Trigonometry<br><br> cos62 x 12
zlopas [31]

Answer:

See explanation

Step-by-step explanation:

cos62˚ ≈ 0.469

0.469 x 12 = 5.628

4 0
3 years ago
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