Write an algebraic expression that represents 9 less than 19 times a number

1 answer:

8 0

The expression would be 19x-9. The reason is because if you think about it, it says that there is 9 less than 19x (x would be the unknown number) I hope this helps! ^-^

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A bluebird is sitting in her nest 10 feet up in a tree when she looks down and sees a cat and a worm. she decides to use math to

GarryVolchara [31]

Answer:

12.2 feet

Step-by-step explanation:

The key to this problem is trigonometry.

Imagine a right triangle. With a height, 10 ft (representing the tree's height), and a base of 7 ft (representing the horizontal distance to the worm).

Now the hypoteneuse length, or otherwise the distance from the worm is unknown.

So this is where we can use the pythagorean theorem.

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

$c$ here is the hypoteneuse length, and $a$ and $b$ are the other lengths of the triangle.

Since we know a and b we can solve for c.

But first we will square root both sides of the equation to get $c$ and not $c^2$ .

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

Now just plug in our values for a and b respectively. (It doesn't matter what number replaces a or b, just make sure you are replacing a and b with the 2 known values) Calculate.

$\sqrt{10^2 + 7^2} = \sqrt{100 + 49} = \sqrt{149} = 12.206....$

Round to the nearest tenth.

$12.2$ feet

7 0

3 years ago

Write the equation of the graph below.

Nana76 [90]

Answer:

C . y = 2(x+1)^2 - 3 is the equation

3 0

3 years ago

What is an equivalent expression for 3a + 6ab + 9ab - 3(a + ab)?

Troyanec [42]

The given expression is $3a+6ab+9ab-3(a+ab)$

We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.

$3a+6ab+9ab-3(a+ab)$

Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
$3a+6ab+9ab-3a-3ab$

Now let's group terms which have the same variables.
$3a-3a+6ab+9ab+3ab$

We can see that there are two groups:
$3a-3a$
$6ab+9ab-3ab$

Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
$3a-3a=0$
$6ab+9ab-3ab=12ab$

If we put the groups back together into the expression,
$3a-3a+6ab+9ab-3ab=(3a-3a)+(6ab+9ab-3ab)=0+12ab=12ab$

We can see that $3a+6ab+9ab-3(a+ab)=12ab$ . So (D) is the answer. Hope this helped.