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3 years ago

Simplify (1/3x+3)=5-x The answers 3/4 I just don’t know how to solve it.

Mathematics

1 answer:

omeli [17]3 years ago

4 0

(1/3x+3)=5-x

multiply both sides by three

1x+9=15-3x

add 3x to both sides

4x+9=15

subtract 9 from both sides

4x=3

divide both sides by 4 to isolate x

x=3/4

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a straight line through points p and q is drawn perpendicular to a line through points p(x,y) and r(x,(y+10)) . the possible coo

Dmitrij [34]

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3 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Need help I will offer brainalist + 10 points for correct answer (:

topjm [15]

Answer:

Step-by-step explanation:

It is complementary because adding DEQ and REQ together adds up to 90 degrees

4 0

3 years ago

Read 2 more answers

What is the median of the following numbers? 4, 5, 5, 2, 1, 3, 4, 5, 4, 4, 4, 7

Katen [24]

Answer:

Step-by-step explanation:

Rewrite is order going from least to greatest.

1, 2, 3, 4, 4, 4, 4, 4, 5, 5, 5, 7

Find the middle number.

Because there are an even amount of numbers you have to take the two middle numbers which are 4 and 4 add them which gives you 8 and then divide that by 2( because you added two numbers.)

Therefore the answer is 4

3 0

2 years ago

A square patio has an area of 200 square feet. How long is each side of the patio to the nearest tenth?

Jlenok [28]

Area (square)=side²
therefore:
side²=200 feet²
side=√(200 feet²)=14.142 feet≈14.1 feet.

solution: side of square=14.1 feet.

7 0

4 years ago