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3 years ago

If AD = 5x - 7 and AB = 2x +11, what is the length of AD

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

The length of AD is 6.

Step-by-step explanation:

Solve.

$5x - 7 = 2x + 11 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 2x \: \: \: \: \: \: = - 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{3x - 7 = 11} \\ \frac{ \: \: \: \: \: \: \: \: \: + 7 = + 7}{3x = 18} \\ \\ \frac{3x}{3} = \frac{18}{3} \\ \\ x = 6$

Now plug in:

$5x - 7 \\ 5(6) - 7 \\ 30 - 7 \\ 23$

^Therefore, your result^

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What is the common ratio of 2, 10/3, 50/9

mojhsa [17]

The common ratio of 2, 10/3, 50/9 is $\frac{10}{6}$

<u>Solution:</u>

Given, series of elements are $2, \frac{10}{3}, \frac{50}{9}$

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take $\frac{10}{3}$ and 2

$\text { Then, common ratio }=\frac{\frac{10}{3}}{2}$

$\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}$

Hence, the common ratio of the given series is $\frac{10}{6}$

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3 years ago

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weeeeeb [17]

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2 years ago

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per h

pickupchik [31]

Answer:

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Step-by-step explanation:

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2 years ago

9 3/10 - 5 3/4 as a mixed number in simplest form

Artemon [7]

Answer:

3 1/20

Step-by-step explanation:

First, we will convert the mixed numbers into improper fractions...

9 3/10 (9*10=90+3=93) so the improper fraction is 93/10

5 3/4 (5*4=20+3=23) therefore the improper fraction is 23/4

We then want to make the denominator the same...

93/10 (*4) = 372/40

23/4 (*10) = 230/40

We then put it into the question...

372/40 - 230/40 = 142/40

Lastly, we now need to turn this into a mixed number...

142/40=3.55 so the answer is 3 2/40

3 2/40 in it's simplest form is 3 1/20

Hope this helps!

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2 years ago

Read 2 more answers

Thank you for the person that answers this :)

Ivenika [448]

Answer:

g(x) = - 3^x

Step-by-step explanation:

G is a reflection across the x axis of the function of f(x)

g(x) = −f(x)

g(x) = - 3^x

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2 years ago