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Nikolay [14]
3 years ago
13

Can someone tell me why the answer is 2?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

If we put x=2 in the given equation, we get the answer for the equation as 2

Given:

      \sqrt{-3 x+10}=x

To find:

Why the answer is 2

Solution:

If we substitute the value x=2 in the given option, we get

        \sqrt{-3(2)+10}=2

          \sqrt{-6+10}=2

        \sqrt{4}=2

Result:

Thus we can say that when substitute the value of x=2

We get the answer as \sqrt{-3 x+10}=2

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Simplify the expression (-2 -c) (-1)
liq [111]
(-1)(-2-c)

multiply -1 to both -2 & -c

-1 x -2 = 2
-1 x -c = c


2 + c is your answer

hope this helps
5 0
3 years ago
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How many gallons of a 20% acid solution should be mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solut
Alexeev081 [22]

Answer:

30 gallons of 20% acid solution should be mixed.

Step-by-step explanation:

Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.

Therefore, final volume of the solution will be (x + 30) gallons.

Now concept to solve this question is

20%.(x) + 40%.(30) = 30%.(x + 30)

0.20(x) + 0.40(30) = 0.30(x + 30)

0.20x + 12 = 0.30x + 9

0.30x - 0.20x = 12 - 9

.10x = 3

x = \frac{3}{0.1}

x = 30 gallons

Therefore, 30 gallons of the 20% acid solution should be mixed.

4 0
3 years ago
Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?
Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you know that:

\alpha =C

Since triangle ABC is similar to triangle DEF:

\angle C=\angle F

Let's begin with the triangle ABC.

You can identify that:

opposite=AB\\hypotenuse=AC

Then, substituing values, you get:

sinC=\frac{AB}{AC}

In triangle DEF, you know that:

opposite=DE\\hypotenuse=DF

So, substituing values, you get:

sinF=sinC=\frac{DE}{DF}

4 0
3 years ago
How do you determine whether a system of linear equations has no solutions, one solution, or infinitely many solutions?
Charra [1.4K]
The answer to this is

<span> If the lines are the same, the equations are dependent linear equations. Using the graph of y = x and x + 2y = 6, shown below, determine how many solutions the system has. Then classify the system as consistent or inconsistent and the equations as dependent or independent. The lines intersect at one point.</span>


Hope This Helps!
:D

4 0
3 years ago
Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins
Artist 52 [7]

Answer:

The required form is y=(x+7)^2-9.

Step-by-step explanation:

Consider the provided quadratic function.

y=x^2 + 14x + 40

We need to put the equation into the form y = (x - h )^2 + k

Add and subtract 49 in order to make the above function a perfect square.

y=x^2 + 14x+49-49 + 40

y=x^2 + 14x+7^2-49 + 40

y=(x+7)^2-49 + 40

y=(x+7)^2-9

Hence, the required form is y=(x+7)^2-9.

5 0
3 years ago
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