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Virty [35]
3 years ago
15

the slope of a line is 3/2 and the line contains the points (5,9) and (3, a). what is the value of a?

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Y = mx + b
slope(m) = 3/2
(5,9)...x = 5 and y = 9
now we sub and find b, the y int
9 = 3/2(5) + b
9 = 15/2 + b
9 - 15/2 = b
18/2 - 15/2 = b
3/2 = b
so ur equation is : y = 3/2x + 3/2.........(3,a)....so x = 3

y = 3/2(3) + 3/2
y = 9/2 + 3/2
y = 12/2
y = 6

so ur missing value is 6...a (or y)  = 6
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3 years ago
Chong thinks of a Number adds 10 and then multiplies the number so obtained by 3, and get 42. If the number is n then write an e
eimsori [14]

Answer:

The equation for this is: 3(n+10) = 42

Step-by-step explanation:

We have that the number though is n.

Adds 10:

This means that now we have: n + 10

Multiplies by 3:

This means that now we have: 3(n+10)

Gets 42:

This means that: 3(n+10) = 42

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3 years ago
1- un tinaco se llena en 8 horas utilizando 4 llaves. en cuanto tiempo se llenara con 7 llaves?
svetoff [14.1K]

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Step-by-step explanation:

Podemos calcular el tiempo necesario por una llave:

si sabemos que se llena en 8 horas con 4 llaves, entonces una sola llave va a tardar 4 veces 8 horas en llenar el tinaco, es decir, una sola llave tarda:

4*8h = 32 horas

ahora, si usamos 7 llaves, el tiempo necesario va a ser un septimo de eso:

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Answer:

\boxed{\text{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

E (8,4) ⟶ E' (-8,4)

F (-16,-8) ⟶ F' (16,-8)

G (24,-16) ⟶ G' (-24,-16)

\text{The reflected figure has coordinates } \boxed{\textbf{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}

The figure EFG and its reflection E'F'G' are shown in the diagram below.

6 0
3 years ago
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