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2 years ago

Y = -2x + 8 y = x^2 - 9x + 18 solve the system of nonlinear equation

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Substitution

-2x+8=x^2-9x+18

x^2-7x+10=0

Factoring, we get

(x-5)(x-2)=0

x=5, x=2

If x equals 5,

y=-2(5)+8=

-10+8=

-2

Therefore, we derive our first solution:

Now we solve for our second x

If x=2,

y=-4+8=

Therefore, we derive our second solution:

-Hunter

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A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the sur

denis23 [38]

Answer:

The radius of the sphere, to the nearest cm:

$r\approx 20$ cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

$A\:=\:4\pi r^2$

$r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}$

Plug in Surface Area of sphere = 5024, π = 3.14 in the formula

$\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:$

$r\approx 20$ cm

Therefore, the radius of the sphere, to the nearest cm:

$r\approx 20$ cm

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2 years ago

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Nat2105 [25]

Answer:

g=6

Step-by-step explanation:

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3 years ago

The prism is completely filled with 1750 cubes that have edge length of 15 ft.

vladimir1956 [14]

It is 14 i got it on my test

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3 years ago

Read 2 more answers

Use the Law of Sines to find the measure of angle J to the nearest degree.

rjkz [21]

$\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\cfrac{sin(J)}{9.1}=\cfrac{sin(97^o)}{11}\implies sin(J)=\cfrac{9.1\cdot sin(97^o)}{11}
\\\\\\
\textit{now taking }sin^{-1}\textit{ to both sides}
\\\\\\
sin^{-1}\left[ sin(J) \right]=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
\\\\\\
\measuredangle J=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)$

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3 years ago

Find the values of x and y. State which theorem(s) you used.

Usimov [2.4K]

The required simplified value of x and y is 32 and 84 respectively.

Given that,
To find the values of x and y. State which theorem(s) you used.

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Vertical opposite angles

3x = 5x - 64
2x = 64
x = 32

Now,

5x - 64 = 5*32 - 64
= 160 - 64

= 96°
Now complementary angle y
y = 180 - 96°

y = 84°

Thus, the required simplified value of x and y is 32 and 84 respectively.

Learn more about simplification here:
brainly.com/question/12501526

#SPJ1

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1 year ago