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3 years ago

7

To drive safely along a road, drivers need to maintain a speed of at least 50 miles per hour and at most 60 miles per hour. Writ

e an absolute value equation that represents the minimum and maximum speeds.

1 answer:

inessss [21]3 years ago

4 0

3000 is the maximum speed

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What is 6P4<br> permutations and combinations

labwork [276]

Answer:

360

Step-by-step explanation:

Here we are required to find $_^{6}\textrm{P}_{4}$

It is a problem of Permutation and we must understand the formula for finding permutations.

The general formula for finding the permutation is given as below:

$_^{m}\textrm{P}_{n}=\frac{m!}{(m-n)!}$

Hence

$_^{6}\textrm{P}_{4}=\frac{6!}{(6-4)!}$

$_^{6}\textrm{P}_{4}=\frac{6!}{2!}$

Where

$m!=m\times(m-1)\times\(m-2)\times\cdot\cdot\cdot\codt\cdot3\times2\times1$

$6!=6\times5\times4\times3\times2\times1$

$2!=2\times1$

Hence

$_^{6}\textrm{P}_{4}=\frac{6\times5\times4\times3\times2\times1}{2\times1}$

$_^{6}\textrm{P}_{4}=6\times5\times4\times3$

$_^{6}\textrm{P}_{4}=360$

3 0

3 years ago

Read 2 more answers

Which Postulate/Theorem below would prove that the triangles shown below are congruent?

velikii [3]

Answer:

Correct answer is <em>D. ASA</em>

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Step-by-step explanation:

Let us first define <em>ASA congruence</em> rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.

In the question figure, we can figure out following conclusions from Triangles $\triangle SRT\text{ and }\triangle WXY$ respectively:

$\angle TRS = \angle YXW$
Side RS = Side WX
$\angle TSR = \angle YWX$

As per the definition of option d) ASA congruence, the triangles are congruent.

3 0

3 years ago

Solve the system of equations using the substitution method.

Firdavs [7]

y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8

Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2

2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2

(8,2)

8 0

3 years ago

I need help, i have a quiz on it soon.

Nezavi [6.7K]

Answer:

okay

Step-by-step explanation:

complementary angles are angles that add up to 90 degrees

so what you would do is take each number that you have and subtract it from 90

In the first one you would

1. take 90-80

2. you get your answer of 10!

i hope this helps :)

8 0

3 years ago

ALGEBRA 2- If f(x)= √x-3 , which inequality can be used to find the domain of f(x)?

Fed [463]

B, because you can't get the square root of a negative number

8 0

4 years ago

Read 2 more answers