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3 years ago

How do I solve this? Show work please

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

x=5 so x+1 = 6 and x+3 = 8

Step-by-step explanation:

It's all about proportions. These are similar triangles, so corresponding sides are proportional. Basically you want to solve an equation $\frac{x+1}{x+3} = \frac{3}{4}$

Let me know if you cannot see how EG corresponds to GH or how EF corresponds to IH.

Anyway, from here we just solve. Again, let me know if you have any questions.

4(x + 1) = 3(x + 3)

4x + 4 = 3x + 9

x = 5

And you can check

[tex]\frac{6}{8} = \frac{3}{4}[/tex

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The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f

kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$

$(16t^2 +18t -405) = (8t + 45) (2t - 9)$

Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

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4 years ago

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3 years ago

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Butoxors [25]

Answer:

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3 years ago

Read 2 more answers

Mr.Ramirez teaches dance. He has 16 sixth-grade students and 24 seventh-grade students. He wants to put the students in equal gr

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Mr. Ramirez can use many different group sizes, but the largest group size possible is 8. This results in 16/8=2 sixth-grade groups and 24/8=3 seventh-grade groups.

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3 years ago

Which expressions are equivalent to 4x^4-9x^2?

weeeeeb [17]

We can cosider this to be a difference of 2 squares so

4x^4 - 9x^2 = (2x^2 - 3x)(2x^2 + 3x) so D is one answer

also we could take x^2 out and get
x^2(4x^2 - 9) = C

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3 years ago