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4 years ago

14

What is the unit rate of (8,14) as a decimal

1 answer:

PilotLPTM [1.2K]4 years ago

6 0

You would need to calculate the unit rate by dividing the y-value by the x-value.

14/8 = 7/4

7/4 in decimal form is 1.75

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I’m the triangle shown below what is the approximate value of x

Dafna1 [17]

Answer:

The answer is choice B: 22.52 units.

Step-by-step explanation:

We use the Pythagoras's theorem which says for a right triangle with sides $x,y$ and hypotenuse $z$ :

$x^2+y^2=z^2.$

In our case

$z=26$

$y=13$

So we solve for $x:$

$x=\sqrt{z^2-y^2}=\sqrt{26^2-13^2} =\boxed{22.52\: units.}$

Which is choice B.

8 0

3 years ago

Factories 54m3n + 81m4n2 b) 15x2y3z + 25x3y2z + 35x2y2z

Oliga [24]

<u>Part a)</u>

Given the expression

$54m^3n\:+\:81m^4n^2$

Apply exponent rule: $a^{b+c}=a^ba^c$

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn$ ∵ $m^4n^2=m^3mnn$

Rewrite 81 as 3 · 27

Rewrite 54 as 2 · 27

$=2\cdot \:27m^3n+3\cdot \:27m^3mnn$

Factor out the common term: 27m³n

$=27m^3n\left(2+3mn\right)$

Therefore,

$54m^3n\:+\:81m^4n^2=54m^3n+81m^3mnn=27m^3n\left(2+3mn\right)$

<u>Part B)</u>

Given the expression

$15x^2y^3z+25x^3y^2z+35x^2y^2z$

Apply exponent rule: $a^{b+c}=a^ba^c$

$15x^2y^3z+25x^3y^2z+35x^2y^2z=15x^2y^2yz+25x^2xy^2z+35x^2y^2z$

Rewrite as

$=3\cdot \:5y^2x^2zy+5\cdot \:5y^2x^2zx+7\cdot \:5y^2x^2z$

Factor out common term 5y²x²z

$=5y^2x^2z\left(3y+5x+7\right)$

Therefore,

$15x^2y^3z+25x^3y^2z+35x^2y^2z=5y^2x^2z\left(3y+5x+7\right)$

8 0

3 years ago

The temperature in Moscow, Russia at 8:00 A.M. is 6 degrees

Ksju [112]

Answer:

0 degrees

Step-by-step explanation:

8 0

3 years ago

Y=230 + 3x help will give brainleyest

Alja [10]

X = -230/3 hope that helps

4 0

3 years ago

Read 2 more answers

The graphs below have the same shape. What is the equation of the red<br> graph?

fiasKO [112]

The correct answer is C) F(x)= x^2+4
one way to tell this is correct is the y-intercept is at positive 4

5 0

3 years ago