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2 years ago

13

Describe the location of v150 on a number line. Explain your reasoning.

1 answer:

Romashka [77]2 years ago

4 0

Let
x-------> √150
so
x²=150

we know that
10²=100
11²=121
12²=144
13²=169
x²=150
so
x< 13
x> 12
12< x<13

<span>the value of x is in the interval (12,13)
</span>
----------*----------------------*----------*--------------*-------------------*------
11 12 √150 13 14

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a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?

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The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

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2 years ago

Read 2 more answers

Please please help please

MrMuchimi

Answer:

hello : answer : 3

Step-by-step explanation:

transled :

1 unit right : add 1 for x

2 unit up : add 2 for y

exempl : the image for M ( 1 ; 2) by translation is M'(1+1 ; 2+2) so M' (2 , 2).

the image for P ( 1 ; 3) by translation is P'(1+1 ; 3+2) so M' (2 , 5).

same method for A and T .

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2 years ago

Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

3 0

2 years ago