Which value could be the length of the missing side of the triangle?

Which option correctly represents the graph of f(x) = 1/3x^2+2 and describes

bagirrra123 [75]

The function is even

7 0

3 years ago

The points (1,2),(1,-3),and (5,-3) form a triangle on the coordinate plane. b. What is the perimeter of the triangle?

Alexeev081 [22]

The perimeter of the triangle is 13.56 units.

The perimeter of a shape on a coordinate plane is found by finding the distance between all points, and then adding them together. It's easier to write it out than to type so I'll attach a photo of my work.

8 0

3 years ago

What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Natasha2012 [34]

$x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Step-by-step explanation:

We need to find the solution of:

$\sqrt{x^2+49}=x+5$

Solving:

Taking square on both sides:

$(\sqrt{x^2+49})^2=(x+5)^2\\x^2+49=x^2+2(x)(5)+25\\Simplifying:\\x^2+49-x^2-10x-25=0\\-10x+24=0\\-10x=-24\\x=\frac{-24}{-10}\\ x=\frac{24}{10}\\x=\frac{12}{5}$

Verifying the solution by putting x = 12/5 in the given equation, we get true result.

So, $x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Keywords: Solving Square root Equations

Learn more about Solving Square root Equations at:

#learnwithBrainly

5 0

4 years ago

Read 2 more answers

Prove that linearly independent set extend to basis

Mrac [35]

The completion is certainly not unique. Multiplying any of the new vectors by a nonzero constant will not affect the span or the linear independence, but will change the basis. To prove that you can extend any linearly independent set S to a basis, you proceed by an iterative argument. If S spans you are done. hope this helps :)

5 0

4 years ago

Like bought 15 boos six books each cost $7 four of the books each cost $5 the rest of the books each cost $3 how many do all the

Gekata [30.6K]

Answer:

The total combined cost of 15 books is $77.

Step-by-step explanation:

Here, the total number of books purchased = 15

The cost of books = $7 for 6 books

So, the cost of six books = 6 x ( cost of 1 book) = 6 x ($7) = $42

⇒Out of 15 books, the cost of 6 books = $42 .... (1)

The cost of books = $5 for 4 books

So, the cost offour books = 4 x ( cost of 1 book) = 4 x ($5) = $20

⇒Out of 15 books, the cost of 4 books = $20 .... (2)

Now, the left books are at cost $3 each book.

The number of left books = 15 - ( 6+4) = 15 - 10 = 5

So, the cost of books = $3 for 5 books

So, the cost of five books = 5 x ( cost of 1 book) = 5 x ($3) = $15

⇒Out of 15 books, the cost of 5 books = $15 .... (3)

Now, to get the total price of 15 books add (1) + (2) + (3), we get:

$42 + $20 + $15 = $77

Hence, the total combined cost of 15 books is $77.

8 0

3 years ago