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3 years ago

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

3 0

Answer:

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = $\sqrt{75}$

x = 5 $\sqrt{3}$

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Simplify simplify -2(x-2)

frozen [14]

Answer:

-2x + 4

Step-by-step explanation:

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3 years ago

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bija089 [108]

Answer:

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Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

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3 years ago

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On a cm grid, point P has coordinates (3,-1) and point Q has coordinates (-5,6) calculate the shortest distance between P and Q

BartSMP [9]

Answer:

10.63cm

Step-by-step explanation:

The formula for calculating the distance between two coordinate is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates (3, -1) and (-5, 6)

D = √(-5-3)²+(6-(-1))²

D = √(-5-3)²+(6+1)²

D = √(-8)²+(7)²

D = √64+49

D = √113

D = 10.63cm

Hence the shortest distance between P and Q is 10.63cm

5 0

3 years ago

Tina made a down payment of $1,200 for her car lease. Her monthly payment amount is $200 for 36 months. What is the total cost o

yKpoI14uk [10]

Tina made a down payment of $1,200 and her monthly payment amount is $200 for 36 months. So we will multiply $200 by 36 and add it to $1,200: $1,200 + 36 * $200 = $1,200 + $7,200 = $8,400. Finally we will add the residual value: $8,400 + $8,500 = $16,900. Answer: C. $16,900

6 0

3 years ago

Find the coordinates of the endpoint A given B (-3,5) is the midpoint of AC and C (1,-2)

WARRIOR [948]

coordinates of endpoint A are (-7,12)

Step-by-step explanation:

We are given midpoint B (x,y) =(-3,5)

One endpoint C (x₂,y₂)= (1,-2)

We need to find other endpoint A (x₁,y₁).

The formula to find midpoint is:

$x=\frac{x_{1}+x_{2}}{2}\\y=\frac{y_{1}+y_{2}}{2}$

We can find the coordinates of endpoint A using these formula.

We have x=-3, x₁=? and x₂= 1

Putting values and finding x₁

$x=\frac{x_{1}+x_{2}}{2}\\-3=\frac{x_{1}+1}{2}\\-6=x_{1}+1\\-6-1=x_{1}\\x_{1}=-7$

Now, y=5, y₁=? and y₂= -2

$y=\frac{y_{1}+y_{2}}{2}\\5=\frac{y_{1}+-2}{2}\\5*2=y_{1}+-2\\10=y_{1}+-2\\10+2=y_{1}\\y_{1}=12$

SO, coordinates of endpoint A are (-7,12)

Keywords: Midpoint of line segment

Learn more about Midpoint of line segment at:

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6 0

3 years ago