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fomenos
3 years ago
11

If the ordered pair (-3,5) is a solution of 3x + 4y = k, what is the value of k?

Mathematics
2 answers:
STatiana [176]3 years ago
6 0
11

with the values plugged in the equation is 3(-3)+4(5)=k which simplifies to -9+20=k and then to 11=k
Nata [24]3 years ago
6 0
(x, y) ⇒ (-3, 5)               3x + 4y = k
Plug in -3 for x and 5 for y in the equation.

3(-3) + 4(5) = k
-9 + 20 = k

k = 11
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At higher elevations water boils at lower temperatures. The temperature at which water boils is called the boiling point of wate
Leya [2.2K]
B(x) = 100 - 3.5x
84 = 100 - 3.5x
3.5x = 100 - 84 = 16
x = 16/3.5 = 4.6 kilometers

96 = 100 - 3.5x
3.5x = 100 - 96 = 4
x = 4/3.5 = 1.1 kilometers

Therefore, the boiling point of water is between 84°C and 96°C at elevations of between 4.6 kilometers and 1.1 kilometers.
7 0
3 years ago
Clase, ¿cuánto es 2.000 − 502?
coldgirl [10]

Answer:

1498  or Mil cuatrocientos noventa y ocho (Espanol)

Step-by-step explanation:

2,000 - 502 = 2,000 - 500 - 2.

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6 0
3 years ago
In this diagram, ABAC – AEDF. If the<br> area of ABAC = 6 in?, what is the<br> area of AEDF?
shepuryov [24]

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

3 0
2 years ago
Find the sum of (8a + 2b - 4 ) and ( 3b - 5 ) <br> please help !!!
eimsori [14]

Answer:

The answer is: 8a + 5b - 9

8 0
2 years ago
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The answer is $300
5 0
3 years ago
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