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Blizzard [7]
2 years ago
8

Point T is on line segment SU. Given ST=2x+6, TU=4, and SU=4x, determine the numerical length of ST.

Mathematics
1 answer:
serg [7]2 years ago
3 0

The numerical length of ST is 16

<h3>How to determine the numerical length of ST?</h3>

The given parameters are:

ST = 2x + 6

TU = 4

SU = 4x

The above parameters can be represented as:

SU = ST + TU

This gives

4x = 2x + 6 + 4

Evaluate the like terms

2x = 10

Divide by 2

x= 5

Substitute x= 5 in ST = 2x + 6

ST = 2 * 5 + 6

Evaluate

ST = 16

Hence, the numerical length of ST is 16

Read more about line segments at:

brainly.com/question/2437195

#SPJ1

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What is the correct answer and how can this be solved?
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$\mathbf{\frac{1}{19} }

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$$\bullet \Nth \ Term;\\$$$\frac{n+2}{2n^{2} +3n-2}

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As part of his retirement strategy, John plans to invest $210,000 in two different funds. He projects that the moderately high r
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Answer:

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

Step-by-step explanation:

Given John plans to invest $210,000 in two different funds. He projects that the moderately high risk investments should return, overtime 9% per year,while low risk investments should return about 4% per year.

He wants a supplemental income of$11,400 a year.

Let , he invested $x at 9% per year and $(210,000-x) at 4% per year.

interest=\frac{prt}{100}   p = principle , r = rate of interest and t = time

The interest earns at 9% per year= \frac{x\times 9\times 1}{100}

The interest earns at 4% per year=\frac{(210,00-x)\times 4 \times 1}{100}

According to the problem,

\frac{x\times 9\times 1}{100}+\frac{(210,00-x)\times 4 \times 1}{100}= 11400

\Leftrightarrow 9x+840000-4x=11400 \times 100

\Leftrightarrow 5x=1140000-840000

\Leftrightarrow x=\frac{300000}{5}

\Leftrightarrow x=60,000

Therefore he invested $60,000 at 9% per year and $(210,000-60,000)=$150,000 at 4% per year.

7 0
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