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3 years ago

9

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a p

erfect-square trinomial?
0
4
25
100

2 answers:

Tresset [83]3 years ago

8 0

Answer:

it's 25, just did it

Step-by-step explanation:

1 /2 o f ( − 10 ) = − 5 , ( − 5 )^ 2 = 25

Delicious77 [7]3 years ago

4 0

Answer:

C. 25

Step-by-step explanation:

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Write an algebraic equation or expression or the word phrase<br><br> 25y=5

lidiya [134]

25 times a letter Y = a number 5

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4 years ago

Read 2 more answers

PLEASE HELP 40 POINTS

iris [78.8K]

Answer:

Option 4

Step-by-step explanation:

Term = n/(4^n)

(n+1)th term = (n+1)/[4^(n+1)]

Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)

= (n+1)/[4^(n+1)] × (4^n)/n

= [(n+1)/n] × (1/4)

For large n, (n+1)/n approaches 1

[(n+1)/n] × (1/4) approaches 1/4 which is less than 1

Since the ratio is less than 1, series converges

8 0

3 years ago

Read 2 more answers

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

4 years ago

Can someone please help me

umka2103 [35]

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

6 0

3 years ago

One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu

zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0

3 years ago