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3 years ago

Write the following using algebraic notation, using the letter x for any unknown numbers:

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

$\dfrac{x+7}{5}$

Step-by-step explanation:

The given statement is "I think of a number, add seven then divide by five".

Let the unknown number be x.

Now, add 7 to the number = x+7

If we divided them by 5, $\dfrac{x+7}{5}$ .

So, the required algebraic notation is $\dfrac{x+7}{5}$ .

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Simplify square root of ten times square root of eight.

Romashka-Z-Leto [24]

<h2>Explanation:</h2><h2></h2>

Here we need to simplify the square root of ten times square root of eight, so let's write this step by step:

Step 1. The square root of ten

$\sqrt{10}$

Step 2. The square root of eight

$\sqrt{8}$

Step 3. The square root of ten times square root of eight

$\sqrt{10}\times \sqrt{8} \\ \\ \\ \text{From radical property:} \\ \\ \sqrt{a}\times \sqrt{b}=\sqrt{ab} \\ \\ \\ So: \\ \\ \sqrt{10}\times \sqrt{8}=\sqrt{80} \\ \\ \\ But: \\ \\ \sqrt{80}=\sqrt{16\time5}=\sqrt{16}\sqrt{5}=4\sqrt{5}$

Finally, the correct option is:

<em>Four square root of five</em>

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3 years ago

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2.<br> Find the Area of the Shaded Region. (15 pts)<br> 2 m<br> 7 m<br> 12 m<br> 10 m

sweet [91]

Answer:

120 - 14 = 106

Step-by-step explanation:

7 x 2 = 14

10 x 12 = 120 therefore you,

120 - 14 = 106

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What is the vertex of the quadratic function f(x) = (x - 8)(x - 2)

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Which equation gives the line shown on the graph?

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y = ½ x + 4

....................

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The end points of one diagonal of a rhombus are (-5,2) and (1,6). If the coordinates of the 3rd vertexare (-6,10), what are the

ad-work [718]

Look at the picture.

$E\left(\dfrac{-5+1}{2};\ \dfrac{2+6}{2}\right)\to E\left(\dfrac{-4}{2};\ \dfrac{8}{2}\right)\to E(-2;\ 4)$

$\vec{BE}=[-2-(-6);\ 4-10]=[4;\ -6]$

$D(x;\ y)\\\\\vec{ED}=[x-(-2);\ y-4]=[x+2;\ y-4]\\\\\vec{ED}=\vec{BE}\ therefore\\\\ \ [x+2;\ y-4]=[4;\ -6]\to x+2=4\ and\ y-4=-6\\\\x=2\ and\ y=-2\\\\Answer:\ \boxed{A.\ (2;\ -2)}$

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3 years ago