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Contact [7]
4 years ago
5

Two lines that intersect at one point is an example of

Mathematics
1 answer:
Nitella [24]4 years ago
7 0

Answer:

perpendicular lines

Step-by-step explanation:

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Can I please get some help
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Answer:

a. 6.93 b. 5 c. 6.72 d. 3.46

Step-by-step explanation:

a.  √4^2- 4(4)(-2)

      Evaluate the power

    √16-4×4(-2)

      Multiply

    √16-16(-2) = √16-(-32) = √16+32 Since 2 negatives equal a positive.

      Add

    √48

      Find square root

     √48= 6.92820323028-- rounded-- 6.93

b.   √1^2-4(1)(-6)

      Evaluate the power

     √1-4(1)(-6)

       Multiply

      √1-(-24) = √1+24 Since 2 negatives equal a positive.

       Add

       √25

       Find the square root

       √25=5

c.     √1^2-4(1)(-11)

       Evaluate the power

       √1-4(1)(-11)

       Multiply

       √1-(-44) = √1+44 Since 2 negative equal a positive.

       Add

       √45

       Find the square root

       √45= 6.7082039325-- rounded-- 6.72

d.     √6^2-4(3)(2)

        Evaluate the power

        √36-4(3)(2)

        Multiply

        √36-24

        Subtract

        √12

        Find the square root

        √12= 3.46410161514-- rounded-- 3.46

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Hannah invested $540 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals
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I got $1,234 by the 18th year
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The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find
ratelena [41]

Answer:

<em>Their masses are 100 kg and 90 kg</em>

Step-by-step explanation:

<u>Equations</u>

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that \frac{4}{5} of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

\displaystyle \frac{4}{5}x=190-x-10

Operating:

\displaystyle \frac{4}{5}x=180-x

Multiplying by 5:

\displaystyle 4x=5(180-x)

\displaystyle 4x=5*180-5x

Simplifying:

\displaystyle 9x=900

x=\frac{900}{9}=100

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg

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