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AlladinOne
1 month ago
11

Pq=6x+25 and qr=16-3x; find pr

Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
8 0

Answer:

PR equals 3x plus 41

Detailed solution:

We start with

PQ = 6x + 25

QR = 16 - 3x

Since Q lies between P and R, the segment PR is composed of PQ plus QR.

Therefore, we write

PR = PQ + QR

PR = (6x + 25) + (16 - 3x)

PR = 6x minus 3x plus 25 plus 16

PR = 3x + 41

Thus, PR equals 3x plus 41

Zina [12.3K]1 month ago
3 0

Given:\\\overline{PQ}=6x+25\\\overline{QR}=16-3x\\\\Finding:\overline{PR}

If \; Q \; is \; a \; point \; in \; between \; the \; line \; segment \; \overline{PR}, \; \\ then \; the \; distance \; of \; line \; segment \; \overline{PR} \; \\ can \; be \; found \; by \; adding \; line \; segment \; \overline{PQ} \; and \; \overline{QR}.

Using \; the \; concept \; \overline{PQ}+\overline{QR}=\overline{PR} \;,\\ we \; need \; to \; set \; up \; an \; equation \; given \; below:

\overline{PR} =6x+25 +16-3x\\\\Step \; 1: Grouping \; Like \; Terms\\\overline{PR} =6x-3x+25 +16\\\\Step \; 2: Combining \; Like \; Terms\\\overline{PR} =3x+41

Заключение:

\overline{PR} \; is \; represented \; the \; expression \; 3x +41

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Upper limit

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Where x1 - x2 = 8 and the margin of error = 8

For the lower limit,

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4 0
1 month ago
You have a job as a teacher. Your salary for the first year is $37,185.
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a) This represents a geometric sequence. b) c) The salary at the beginning of the fifth year will be $46,945.21. To clarify, my starting salary is $37,185. Should I receive a 6% raise each year, the salary for the following year will be: $37,185 x 1.06 = $39,416.10. Consequently, the salary after the second year will be: $39,416.10 x 1.06 = $41,781.07. Hence, the salary sequence will look like: $37,185, $39,416.10, $41,781.07, and so forth, demonstrating a consistent ratio of r = 1.06 for each term.
5 0
25 days ago
Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.
Zina [12379]
Let x represent the amount invested at 6% and y the amount at 9%.
The equation x+y=8,500 leads to x=8500-y.
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The equation becomes 0.06x + 0.09y=667.5 (substituting for x to use only y).
Expanding yields: 0.06(8500-y)+0.09y=667.5.
Solving this gives us 510-0.06y+0.09y=667.5 (-510).
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4 0
1 month ago
Leslie determined that the system of equations below has infinitely many solutions. Is she correct?
tester [12383]

Respuesta:

Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?

x=4y-4

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A. Sí, Leslie está en lo correcto.

B. No, la solución es (-8,-24)

C. No, la solución es (0,-16)

D. No, el sistema de ecuaciones no tiene solución.

Explicación paso a paso:

debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones

si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto

por favor márcalo como el más útil


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