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3 years ago

What are the solutions to the equation?

Mathematics

1 answer:

nalin [4]3 years ago

7 0

Solutions are 3 and - 5.

Step-by-step explanation:

Step 1:

Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.

⇒ 3x² + 6x - 45 = 0

⇒ x² + 2x - 15 = 0

⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)

⇒ x (x + 5) - 3(x + 5) = 0

⇒ (x - 3)(x + 5) = 0

⇒ x = 3, - 5

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What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

6 0

3 years ago

HELP!!!! I need help

ahrayia [7]

Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

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3 0

3 years ago

What is the exact distance from (-5,1) to (3,0).

Ilya [14]

Answer:

The distance between the two points is $\sqrt{65} \ \text{units}.$

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

$\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

$\bullet \ \ \ (x_1, y_1), (x_2, y_2)$

This assigns a name to our points:

$x_1 = -5$
$y_1 = 1$
$x_2 = 3$
$y_2 = 0$

Therefore, we can plug these into the formula and solve:

$d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}$

Therefore, the distance between the two points is $\sqrt{65} \ \text{units}$ .

5 0

3 years ago

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fomenos

Answer:

Step-by-step explanation:

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3 years ago

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We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.

Gennadij [26K]

Answer:

V / ( pi r^2) = h

Step-by-step explanation:

V = pi r^2 h

Divide each side by pi r^2

V / ( pi r^2) = pi r^2 h / pi r^2

V / ( pi r^2) = h

7 0

3 years ago