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3 years ago

6) Lynn wrote two integers on the chalkboard. The integers she wrote were 45 and -17. What is

Mathematics

1 answer:

lana [24]3 years ago

8 0

45+-17
This is the same as subtracting 17 from 45
45-17=28

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If your company needs to produce 7,800 products by the end of the next 12 weeks, how many products will you need to produce each

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3 years ago

What is the answer ????

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3 years ago

In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

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Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

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And PS is a segment; therefore, it has to be positive.

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1 year ago

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Step-by-step explanation:

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