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3 years ago

Square root is 5? Place a dot on the number line at the best approximation? Help plz!

Mathematics

1 answer:

mariarad [96]3 years ago

3 0

Square root of 5 is about 2.2, so on the graph you would put the dot on 2.2

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2x^2=9-3x <br> Find the factors

d1i1m1o1n [39]

Answer:

x = -3, $\frac{3}{2}$

Step-by-step explanation:

The given quadratic equation is: $2x^2 = 9 - 3x$

This can be written as: $2x^2 + 3x - 9 = 0$

To solve a quadratic equation of the form $ax^2 + bx + c = 0$ we use the formula:

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

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)}$

$\implies x = \frac{-3 \pm \sqrt{81}}{4}$

$\implies x = \frac{-3 \pm 9}{4}$

We get two values of 'x', viz.,

x = $\frac{-3 + 9}{4}$ and $\frac{- 3 - 9}{4}$

$\implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4}$

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $\frac{3}{2}$ ) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $\frac{3}{2}$ to see that this indeed is the given quadratic equation.

5 0

3 years ago

Determine whether the given value is a solution of the equation.

serious [3.7K]

Answer:

84 is a solution.

Step-by-step explanation:

To find out if 84 is a solution or not, we plug in the value and simplify.

(84)/14 = 6
6 = 6

Therefore, 84 is a solution.

6 0

2 years ago

Plz help me with this

Softa [21]

Answer: b) 8√2

<u>Step-by-step explanation:</u>

$64^{\frac{7}{12}}=(2^6)^\frac{7}{12}=2^\frac{6\cdot 7}{12}=2^{\frac{7}{2}}=\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}=2\cdot 2\cdot 2\sqrt2=\large\boxed{8\sqrt2}$

7 0

2 years ago

Find the area of a sector with a central angle of 125 degrees and a radius of 11cm. Express the approximate answer to the neares

White raven [17]

The answer is c I’m pretty aure

5 0

3 years ago

Please help I’m stuck on this question!

iVinArrow [24]

<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ The nth term would be x3

➶ Hope This Helps You

➶ Good Luck

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0

3 years ago

Read 2 more answers