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3 years ago

If you guys help me with this ill give you brainliest

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

19.2 miles

3.2x6=19.2

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Find the solution <br><br> 2x + 22 = 4(x+3)

satela [25.4K]

2x + 22 = 4x + 12
4x + 12 = 2x + 22
4x - 2x = 22 - 12
2x = 10
x = 5

8 0

3 years ago

Are the two parabolas defined below similar or congruent or both? Justify your reasoning. Parabola 1: The parabola with a focus

Dominik [7]

Answer:

They are similar by a factor of 14

Step-by-step explanation:

From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:

$Focus = (h,k+p) = (0,2)$

So h=0 and k+p=2, for the directrix:

$y = k-p=-4$

solving k and p from the two equations above:

$k=-1 and p=3$

So for Parabola 1 the equation would be:

$x^{2} =4*3(y+1)$

For Parabola 2 the general equation is:

$x^{2} =4*(3/2)(y)$

here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.

they are not congruent. For them to be similar it must comply:

$x_{1}=k x_{2}\\y_{1}=ky_{2} => (1/12)x_{1} ^{2} -1 = k(1/6)x_{2} ^{2}$

replacing $x_{1}$ and solving for k:

$(1/12)(kx_{2}) ^{2} -1 = k(1/6)x_{2} ^{2}\\ (1/12)k^{2} x_{2}^{2}-1 = k(1/6)x_{2} ^{2}\\k-12 = (12/6)=2\\k = 2+12=14\\$

They are similar by a factor of 14

8 0

3 years ago

Given the equation, C = P + (P)(T), what is the final cost of a cell phone priced at $20.00 with a tax rate of 5%?

sergij07 [2.7K]

Answer: Answer is $21

Step-by-step explanation:

Using the equation C = P + (P)(T)

where P= $20

T= 5%; 5/100 = 0.05

Substitute the figures in the equation,

$20 + $20 (0.05)

Apply BODMAS and open bracket first

$20 + $1

= $21

6 0

3 years ago

HELP!! <br> Which expression is the cube root of -1+i<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20" id="TexFormula1" ti

maria [59]

$z^3=-1+i\sqrt3=2e^{i2\pi/3}$

$\implies z=\left(2e^{i2\pi/3}\right)^{1/3}=\begin{cases}2^{1/3}e^{i2\pi/9}\\2^{1/3}e^{i8pi/9}\\2^{1/3}e^{i14\pi/9}\end{cases}$

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3 years ago

What is the meaning of x+5

zhenek [66]

They are unlike numbers so the x normally just means 1 so just say it’s 1+5

8 0

3 years ago