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devlian [24]
3 years ago
8

-18x + 5y= 7 -9x – 3y = -24

Mathematics
1 answer:
katovenus [111]3 years ago
8 0

Answer:

x=1 and y=5

Step-by-step explanation:

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6 feet tall. 3 feet wide and 2 feet deep. What is the cubic feet are inside the refrigerator
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The formula for volume is height times width times depth.  The formula is 6*3*2.  6*3 is 18 and 18*2 is 36.  The answer is 36.
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If line L is parallel to line M, what is the value of x?
Monica [59]
A line is 180° so if you are given 43°on part of line l

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How long will it take the ball to reach the ground
SSSSS [86.1K]
When the ball reaches the ground, its height is 0.
We set the height function equal to zero and solve for t, the time.

h = -16t^2 + 250

-16t^2 + 250 = 0

16t^2 - 250 = 0

(4t + \sqrt{250})(4t - \sqrt{250}) = 0

4t + \sqrt{250} = 0   or   4t - \sqrt{250} = 0

4t = -\sqrt{250}   or   4t = \sqrt{250}

t = -\dfrac{\sqrt{250}}{4}   or   t = \dfrac{\sqrt{250}}{4}

We discard the negative solution since time must be positive.
The positive solution is

t = \dfrac{\sqrt{250}}{4} \approx 4.0

Answer: 4.0 seconds
8 0
3 years ago
Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3
vovangra [49]

x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t

y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2

The length of the curve C is given by

\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt

=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt

=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)

=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3

=4(10^{3/2}-1)

=40\sqrt{10}-4

8 0
3 years ago
Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.
son4ous [18]

Answer: 345.4

Step-by-step explanation:

SA=2πr^2+2πrh

SA=2(3.14)(5)^2+2(3.14)(5)(6)

SA=2(3.14)(25)+2(3.14)(30)

SA=2(78.5)+2(94.2)

SA=157+188.4

SA=345.4

4 0
3 years ago
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