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Sphinxa [80]
3 years ago
5

What is the solution of the equation?-10 + sqrt x+8 = -4

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0
D:x+8\geq0\to x\geq-8\\\\-10+\sqrt{x+8}=-4\ \ \ /+10\\\\\sqrt{x+8}=-4+10\\\\\sqrt{x+8}=6\iff x+8=36\\\\x=36-8\\\\x=28\in D
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If EG=25 and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.
Sloan [31]
<span>First find 2/5 of 25.
This can be done by multiplying the two numbers.
2/5 </span>× 25 = 10

10 is the distance from E to F.
So now that you have EF and know the overall length of EG (25), you can easily find FG.
25 - 10 = 15

The answer is:
<span>d. 15
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Which property of addition does 8 + 0 = 0
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6 0
3 years ago
Find the axis of symmetry and the vertex and graph the following: f(x)=(x+2)(x-4)
algol [13]

something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.

\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}

so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.

since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.

8 0
3 years ago
Find the product. Your answer must be in simplest form.<br> 7/8 of 56
Leviafan [203]

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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