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3 years ago

Complete the table.tell whether the relationship is proportional relationship.write an equation for it

Mathematics

1 answer:

Iteru [2.4K]3 years ago

3 0

Ok so the first blank square would be 6, the second would be 48 and the third square would be 10.5 because you would multiply the top number or divide the bottom number by 4. Hope this helps. Happy Thanksgiving

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

What is the following product?<br> ^3sqrt24 • ^3sqrt45

Mazyrski [523]

$\sf \: \sqrt[3]{24} . \sqrt[3]{45} \\ \sf = \sqrt[3]{24 \times 45} \\ \sf \:= \sqrt[3]{\underline{3 \times 3 \times 3} \times \underline{ 2 \times 2 \times 2} \times 5} \\ \sf = 2 \times 3 \times \sqrt[3]{5} \\ = \boxed{\underline{\bf 6(\sqrt[3]{5} )}} \: \sf\: option \: 3$

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3 years ago

Calculate the circumference of a circle that has a diameter of 9.2 cm

Brums [2.3K]

Answer:

Step-by-step explanation:

I don't say you must have to mark my and as brainliest but if it has really helped you plz don't forget to thank me....

6 0

4 years ago

Read 2 more answers

When you solve a square root problem, can you just divide it by 2? for example in this picture can you do 25 divided by 2?

user100 [1]

Answer:

Step-by-step explanation:

When you square a number, you chose a number and multiplying itself. If you did the square root of 25, you would get 5. However if you divided 25 by 2, you would get 12.5 which is NOT the square root.

7 0

3 years ago

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Which is a true statement?

Murrr4er [49]

A) -2.8 > -3.5 is true. There are infinite solutions.
B) -7.75 < -8.45 is false. There is no solution.
C) 6.52 < 6.5 is is false. There is no solution.
D) -11.1 > 10.7 is false. There is no solution.

3 0

3 years ago