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2 years ago

Find the discriminant and the number of real roots for the equation. 4x^2+12x+9=0

Mathematics

1 answer:

netineya [11]2 years ago

5 0

Answer:

Step-by-step explanation:

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2 years ago

What ratios can we say are equivalent to 2:9?

faust18 [17]

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4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

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2 years ago

Read 2 more answers

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?

konstantin123 [22]

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

$x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)$

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

$From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1$

After solving we get value of y=-1

Now putting in eq(1) to get value of x

$x+2y=0\\x+2(-1)=0\\x-2=0\\x=2$

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

$5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3$

So, After solve the equations we get value of k=3

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2 years ago

2 A chef planning for a large banquet

fiasKO [112]

Answer:

320

Step-by-step explanation:

2 out of 5 is the ratio 2/5.

We want the denominator to become 800.

$\dfrac{800}{5} = 160$

$160 \times 2 = 320$

$\dfrac{2}{5} = \dfrac{2 \times 160}{5 \times 160} = \dfrac{320}{800}$

Since 2/5 = 320/800, he will need to prepare 320 cups of soup.

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3 years ago