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3 years ago

5

Peter, Maria and Jacob go to school together. While Peter was doing 3 steps, Maria was doing 5 steps. While Maria was doing 3 st

eps, Jacob was doing 5 steps. Maria and Jacob counted that they had made 400 steps together. How many steps did Peter do?

1 answer:

mixas84 [53]3 years ago

7 0

Answer:200

Step-by-step explanation:

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

8=7 +1/4 4 true or false?

sashaice [31]

Answer:

True

Step-by-step explanation:

4 times 1 fourth is just one

7+1 =8

8=8

therefore this statement is true

Hope it helps <3

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3 years ago

71 to the nearest tenth

xeze [42]

Answer:

ft76d956

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help!<br> Which answer is correct?

Luda [366]

Well, since the graph starts at (0,50), making our y-intercept 50, we can knock off D as an option.

The next step is to find the slope. To do this, find two points and subtract the y values over the x values. (Just make sure that whichever y value you start with - start with the same x value).

So we have >>> (50, 200) and (0,50) from earlier.

200 - 50 / 50 - 0 = 150/50 or 3/1, or 3.

This makes the correct answer A since the equation is represented as y = mx + b, where m is the slope and m has a value of 3.

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4 years ago

) Which expressions are equivalent to 45? Choose ALL that apply.

VMariaS [17]

4.5 and maybe 16-64. If they count -

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