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4 years ago

Can you form a right triangle with the three lengths given? Why or why not? 7 in., 24 in., 25 in.

1 answer:

6 0

Recall that using the pythaogorean theorem, which is only for right-triangles, the longest leg squared is the sum of the other two squared, namely c² = a² + b², now, if those units above are of a right triangle, then 25² = 7² + 24².

do they check out? if they do, then yes, you can make a right-triangle, if not, they nope.

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Solve the simultaneous equations x2 + y2 = 10 and x – 3y + 10 = 0.

ch4aika [34]

Answer:

x = - 1, y = 3 or (-1 , 3)

Step-by-step explanation:

x – 3y + 10 = 0 x = 3y - 10 ... plug in

x² + y² = 10

(3y-10)² + y² = 10

10y² - 60y +90 = 0

y² - 6y + 9 = 0

(y - 3)² = 0

y = 3

x = - 1

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3 years ago

4^3x-6=1/16<br> Solve the following elementary exponential equation.

kotykmax [81]

Answer:

$\large\boxed{x=\dfrac{4}{3}}$

Step-by-step explanation:

$4^{3x-6}=\dfrac{1}{16}\\\\4^{3x-6}=\dfrac{1}{4^2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\4^{3x-6}=4^{-2}\iff3x-6=-2\qquad\text{add 6 to both sides}\\\\3x=4\qquad\text{divide both sides by 3}\\\\x=\dfrac{4}{3}$

6 0

3 years ago

Alexa is buying lace to sew around the edge of a round tablecloth. The radius of the tablecloth is 2 3/4 feet. If lace is sold b

sergey [27]

To find the circumference of a circle the formula is pi times diameter. The radius is half the diameter, so you have to find the diameter by multiplying 2.75 by 2. you get 5.5. Pi is around 3.14, so 5.5 times 3.14 is 17.27. Because you have to convert feet to yards, divide 17.27 by 3 (there are 3 feet in a yard). You get around 5.76. Because if Alexa bought only five meters of lace, she will run short, she needs to buy 6 meters of lace.

3 0

3 years ago

What are the solutions to the equation (x – 2)(x + 5) = 0?

mario62 [17]

Answer:

x = 2 or x = -5

Step-by-step explanation:

It s given that, (x – 2)(x + 5) = 0

<u>To find the solution of given equation</u>

Let (x – 2)(x + 5) = 0

From this we get

either (x – 2) = 0 or (x + 5) = 0

If (x - 2) = 0 then x = 2

If (x + 5) = 0 then x = -5

Therefore the solutions of given equation (x – 2)(x + 5) = 0 are,

x = 2 or x = -5

5 0

4 years ago

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If georgie walks 1 mile every 30 minutes how many feet can he walk in a hour

Vlada [557]

Answer:

10560 feet

Step-by-step explanation:

he would walk 2 miles in a hour which is equivalent to

5 0

4 years ago

Read 2 more answers