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3 years ago

In which

Mathematics

1 answer:

MrRa [10]3 years ago

7 0

<span>The orthocenter is outside the triangle if it's an obtuse triangle.</span>

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et y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppo

Mice21 [21]

The change in the total cost for each book printed is $10.

The cost to get started ( before any books are printed) is $1200

Step - by -step Explanation

What to find?

• The change in the total cost for each book printed.

• The cost to get started ( before any books are printed).

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Given:

The given equation is 1200 + 10x = y

where x is the number of xopies of book printed and y is the total cost of publishing the book .

b) To obtain the cost to get started;

Substitute x = 0 into the given equation.

1200 + 10(0) = y

1200 = y

Hence, the cost to get started is $1200

a) To find the cost for each book;

Put x =1 in the given equation.

1200 + 10(1) = y

1210 =y

Change in cost for each book printed is 1210 - 1200 = 10

Hence, the change in the total cost for each book printed is $10.

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5 0

1 year ago

Alina has 15x + 12 yards of ribbon. She uses 6x - 3 yards for a project. How many yards does she have left?

Andrews [41]

Answer:

-1.66666666667 yards

Step-by-step explanation:

15x+12=6x-3

subtract 6x on both sides

9x+12=-3

subtract 12 on both sides

9x=-15

x=-1.6666666666667

8 0

3 years ago

Which expression is equivalent to (–3y – x) – (5y – 8x)? –8y – 8x –8y 7x 2y – 7x 8y 8x.

IRINA_888 [86]

The expression is equivalent to -8y + 7x.

Given

Expression; (-3y - x) - (5y - 8x)

<h3>How to find the equivalent expression?</h3>

To find the equivalent expression multiply the expression and add and simplify.

Then,

The expression is equivalent to;

(-3y - x) - (5y - 8x)

-3y - x - 5y + 8x

-8y + 7x

Hence, the expression is equivalent to -8y + 7x.

To know more about expression click the link given below.

brainly.com/question/13040575

6 0

2 years ago

Fifteen times the square of a non-zero number is equal to 15 times the number

defon

15·x²=15·x so
x²=x
x·x=x with x≠0 than x must be 1
x=1

5 0

3 years ago

Read 2 more answers

Make a the subject of a2+b2=c2

wel

Answer:

$a=\sqrt{c^2-b^2$

⇒ $a=\sqrt{(c+b)(c-b)}$ [Factorized form]

Step-by-step explanation:

Given expression:

$a^2+b^2=c^2$

We need to make $a$ the subject.

In order to do that we need to solve the expression for $a$ in terms of $b$ and $c$

We have,

$a^2+b^2=c^2$

Subtracting both sides by $b^2$

$a^2+b^2-b^2=c^2-b^2$

$a^2=c^2-b^2$

Taking square root both sides in order to remove square of $a$

$\sqrt{a^2}=\sqrt{c^2-b^2}$

$a=\sqrt{c^2-b^2$

The difference of squares can be factorized and written as:

$a=\sqrt{(c+b)(c-b)}$ [difference of squares $x^2-y^2=(x+y)(x-y)$ ]

4 0

3 years ago