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Serga [27]
2 years ago
7

Solve: √x+1=√x+6=1

Mathematics
1 answer:
Nonamiya [84]2 years ago
4 0

Squaring both sides of the equation results in the equation,(x+1=x+6-1). Option A is correct.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation is;

\rm  \sqrt{x+1} = \rm  \sqrt{x+6} = 1

After squaring we get;

\rm  (\sqrt{x+1})^2 = \rm ( \sqrt{x+6})^2 = 1^2 \\\\ x+1 = x+6=1 \\\\\ x+1=1+6-1

The equation (x+1=x+6-1) is created by squaring both sides of the equation.

Hence option A is correct.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

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When finding x-intercepts, y is equal to zero. So, we can set the whole function equal to_______.
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Step-by-step explanation:

When finding x-intercepts, y is equal to zero. So, we can set the whole function equal to ZERO.

Then we set each binomial equal to ZERO.

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If it is possible to label each element of an infinite set S with a finite string of keyboard characters, from a finite list cha
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D. We can label the rational numbers with strings from the set (1, 2, 3, 4, 5, 6, 7, 8, 9, / -) by writing down the string that represents that rational number in its simplest form. As the labels are unique, it follows that the set of rational numbers is countable.

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1)Make an area model(Table) or a tree diagram to model all the possible combinations in this situation. 2)What is the theoretica
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Answer:

Example:

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.

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b) Calculate the probability that Paul picks:

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ii) a black ball in his second draw

Solution:

tree diagram

a) Check that the probabilities in the last column add up to 1.

b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.

ii) There are two outcomes where the second ball can be black.

Either (B, B) or (W, B)

From the probability tree diagram, we get:

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3 years ago
If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
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Answer:

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Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

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Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
3 years ago
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