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3 years ago

PLZ PLZ HELP ME ILL MARK BRAINLIEST AND GET A FOLLOW BUT PLZ HELP ME

Mathematics

2 answers:

Nesterboy [21]3 years ago

6 0

Answer:

See below

Step-by-step explanation:

<u>Initial coordinates and transformations:</u>

(x, y) → (4x, 4y) → (3x, 3y)
A(-1, -1) → A'(-4, -4) → A''(-3, -3)
B(1, 1) → B'(4, 4) → B''(3, 3)
C(2, 0) → C'(8, 0) → C''(6, 0)

Korvikt [17]3 years ago

6 0

What the guy said is 100% right

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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,

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

Furthermore,

$PS=PR-RS$

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

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

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

Hence, the answer is PS=6

3 0

1 year ago

A tree casts a shadow 27 m long. At the same time, the shadow cast by a 66-cm tall statue is 56 cm long. Find the height of the

Nata [24]

$\frac{height _{1} }{shadow_{1}} = \frac{height _{2} }{shadow_{2}}$

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$2700*66=56*h _{1}$

$178200=56h _{1}$

$3182.1cm=h _{1}$

$\frac{3182.1cm}{1000cm} = 3.2m$

$height:3.2m$

6 0

3 years ago

Read 2 more answers

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Answer:

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3 years ago

What’s the domain and range of y=x^2+2

denpristay [2]

Answer:

domain: all real numbers

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Step-by-step explanation:

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3 years ago

The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for

dezoksy [38]

Answer: 44 gallons

Step-by-step explanation:

Using proportion,

33 gallons = 3hours

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3 0

3 years ago

PLZ PLZ HELP ME ILL MARK BRAINLIEST AND GET A FOLLOW BUT PLZ HELP ME ​

PLZ PLZ HELP ME ILL MARK BRAINLIEST AND GET A FOLLOW BUT PLZ HELP ME