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Iteru [2.4K]
2 years ago
12

Find the missing length . Leave your answers in simplest radical form

Mathematics
1 answer:
KIM [24]2 years ago
5 0

Use the Pythagorean theorem:

2)

x^2+7^2=14^2\\\\x^2+49=196\qquad\text{subtract 49 from both sides}\\\\x^2=147\to x=\sqrt{147}\\\\x=\sqrt{49\cdot3}\\\\x=\sqrt{49}\cdot\sqrt3\\\\\boxed{x=7\sqrt3\ mi}

4)

x^2+9^2=(\sqrt{226})^2\\\\x^2+81=226\qquad\text{subtract 81 from both sides}\\\\x^2=145\to \boxed{x=\sqrt{145}\ km}

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Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the poin
Zielflug [23.3K]

Answer:

y = -2x/3 + 2

Step-by-step explanation:

A(0,1), B(2,4)

slope of AB = (yb-ya)/(xb-xa) = (4-1)/(2-0) = 3/2

Slope of perpendicular to AB

m = -1/(3/2) = -2/3

Point to lie on perpendicular, P(0,2)

Equation of perpendicular, point-slope form

(y-yp) = m(x-xp)

y-2 = -(2/3)(x-0)

y = -2x/3 + 2

6 0
2 years ago
How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160
Ipatiy [6.2K]

Answer:

<h2>C. <em>20,160</em></h2>

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

<em>Hence this can be done in 20,160 number of ways</em>

5 0
3 years ago
*Silly and/or spam answers will not be tolerated*
stepladder [879]

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

-------------------

(x+6) (sqrt( 10-x) +4)    

-6-x

-------------------

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

-------------------

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

-------------------

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

5 0
3 years ago
Read 2 more answers
Please help:) deadline is tonight :0 picture of question below
Nostrana [21]
Annual growth rate is (1+0.15)^12. or 5.35025 or 535.025%
3 0
2 years ago
Find the value of x and y of the equilateral triangle. I need it ASAP
katrin2010 [14]

Answer:

x=12, y=30

Step-by-step explanation:

to find x:

in a equilateral triangle, all three sides are congruent, so:

4x-4=3x+8

x-4=8

x=12

to find y:

in an equilateral triangle, all the angles are 60°, so:

2y=60

y=30°

7 0
2 years ago
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