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3 years ago

Write the reciprocal of -3/7

Mathematics

2 answers:

Alex777 [14]3 years ago

8 0

The answer of this question is(-7/3)

Alex_Xolod [135]3 years ago

6 0

By flipping the fraction of -3/7, you will get the fraction of -7/3 or - 2 1/3.

Therefore, the reciprocal of -3/7 is - 2 1/3.

Hope this helps!

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Y varies inversely as x. y = 12 when x = 7. Find y when x = 6.

Scorpion4ik [409]

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3 years ago

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Complete the square to solve the equation below. x^2-10x-2=17

Naddika [18.5K]

Answer:

Exact form : x = +_2 squareroot 11+5

Decimal form : x=11.63324958...,-1.63324958...

Step-by-step explanation: Use the formula (b/2)^2 in order to create a new term. Solve for x by using the term to complete the square.

I hope this helps you out! :)

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2 years ago

Information about five planets is shown in the table below.

Karo-lina-s [1.5K]

Answer:

(a)Jupiter

(b)24.4 km

Step-by-step explanation:

Part A

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of $1.898 X 10^{27}$ kg$

Part B

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

$=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km$

Part C

$M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg$

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3 years ago

Make and explain a prediction about the nature of the solution to the following system of equations, and then solve the system.

Dominik [7]

Answer:

(3,-4) and (-3,4)

Step-by-step explanation:

$x^2+y^2=25$

$4x+3y=0$

The first equation is a circle with radius of 5 units

The second equation is a line which has slope $\frac{4}{3}$

So, for 4 unit change in y there will be 3 unit chang in x.

The circle has its center at the origin and the line passes through the orgin.

The line will intersect the circle at two points giving us two solutions

From the second equation we get

$y=-\frac{4}{3}x$

Applying in the second equation

$x^2+\left(-\frac{4}{3}x\right)^2=25\\\Rightarrow x^2+\frac{16}{9}x^2=25\\\Rightarrow \frac{9x^2+16x^2}{9}=25\\\Rightarrow 25x^2=225\\\Rightarrow x^2=\frac{225}{25}\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3$