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3 years ago

What is the value of x in the product of powers below plz I need help

Mathematics

1 answer:

Alexeev081 [22]3 years ago

5 0

Answer:

x = -7

Step-by-step explanation:

Recall this rule of exponents:

a^b*a^c = a^(b+c)

We have:

6^9*6^x = 6^2

Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7

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Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.

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Answer:

Explanation:

Hope it helps.. I got it right

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3 years ago

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Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?

Ira Lisetskai [31]

There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

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3 years ago

Find the slope of the line that passes through (6, 7) and (2, 10). and simplify if needed thx guys.

tekilochka [14]

Answer:

$-\frac{3}{4}$

Step-by-step explanation:

the equation for finding the slope of a line when given two points is $\frac{y_2-y_1}{x_2-x_1}$ , aka the change in y over the change in x.

pick one of your coordinate pairs to be $y_2\\$ and $x_2$ . it doesn't matter which coordinate pair you choose as long as you keep them as $y_2\\$ and $x_2$ . the remaining coordinate pair will be $y_1$ and $x_1$ .

for this example, i'll use (2, 10) for $y_2\\$ and $x_2$ and (6, 7) for $y_1$ and $x_1$ .

<em>**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for </em> $y_2\\$ and 2 for $x_2$ <em>). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.</em>

<em />

first, start by plugging in the y-value from the coordinate pair of your choosing in for $y_2\\$ . since i chose (2, 10) for $y_2\\$ and $x_2$ , i'll plug in 10 for $y_2\\$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-y_1}{x_2-x_1}$

then plug in the remaining coordinate pair's y-value in for $y_1$ . since the coordinate pair that's left is (6, 7), i will plug in 7 for $y_1$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{x_2-x_1}$

now i'm going to plug in the x-values. i chose (2, 10) to plug in for $y_2\\$ and $x_2$ , so now i'll plug in 2 for $x_2$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{2-x_1}$

and all that's left to plug in is the x-value from (6, 7), so i will plug that in for $x_1$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{2-6}$

after plugging in all the values, you have $\frac{10-7}{2-6}$ .

subtract 10 - 7 as well as 2 - 6.

$\frac{10-7}{2-6}$ ⇒ $\frac{3}{-4}$

$\frac{3}{-4}$ cannot be simplified, therefore the slope of the line is $\frac{3}{-4}$ or $-\frac{3}{4}$ .

i hope this helps! have a lovely day <3

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3 years ago

What is a correct way to rewrite abac?

Ray Of Light [21]

Answer: A(b+c)

Step-by-step explanation: Since you're multiplying A and A you would add the B+C

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3 years ago

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Which of the following(s) is true of a rectangle?

arsen [322]

<h2>Explanation:</h2>

Let's take a look at all of our options.

A. it is also a square

A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.

B. the sum of its angle measures is 360

This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
B is an option because it is an ALWAYS true statement.

C. it has four congruent angles

A rectangle always has 90 degree angles, giving it its shape.
Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
C is also an option because it is always true.

D. it has four congruent sides

A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.

<h2>Answers:</h2>

B and C are always true of a rectangle.

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3 years ago

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