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Allisa [31]
2 years ago
6

What is an equation of the line that passes through the point (-2,-6) and is parallel to the line x+2y=8x+2y=8?

Mathematics
1 answer:
poizon [28]2 years ago
3 0

Answer:

y= -x/2-7

Step-by-step explanation:

We need to write an equation of the line that passes through the point (-2, -6) and is  parallel to the line x + 2y = 8

We need to find slope m and y-intercept b for the new line.

First we need to find slope m of the new line.

The given line x+2y=8 is parallel to new line.

When lines are parallel, there slope is same.

First writing equation in slope-intercept form:  where m is slope and b is y-intercept

Now comparing with  the slope is :

Now finding y-intercept b

Using point (-2,-6) and slope  we can find y-intercept

So, we get y-intercept b = -7

Now the equation of required line having slope  and y-intercept b = -7 is:

So, the equation of new line is:

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la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es l
miss Akunina [59]

Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

e + b = 54

e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

270 = 4b + 5b

270 = 9b

b = 270/9

b = 30

e = 54 - b

e = 54 - 30

e = 24

Comprobación:

5e = 4b

5*24 = 4*30 = 120

3 0
3 years ago
----------- are used to represent an unknown quantity in a mathematical expression.
anastassius [24]
A letter or symbol is used to represent an unknown quantity
4 0
2 years ago
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(SUPER EASY) ILL GIVE BRAINLIEST TOO. <br><br> just answer all the questions you know.
IrinaK [193]

Answer: x,y. 2,7, 1,

Step-by-step explanation:

8 0
2 years ago
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Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Yuki888 [10]

Answer:

Option B (AB = 2.2 units).

Step-by-step explanation:

The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:

sin ABC / AC = sin BAC / BC.

Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:

sin 72 / 2.5 = sin BAC / 2.1.

Cross multiplying gives:

sin BAC = (2.1*sin 72)/2.5.

sin BAC = 0.79888747368.

Taking sin inverse on both sides gives:

BAC = arcsin (0.79888747368) = 53.0239949 degrees.

To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051  degrees.

Now applying the Sine Rule to find AB:

sin ACB / AB = sin ABC / AC.

sin (54.9760051) / AB = sin 72 / 2.5.

AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).

Therefore, AB = 2.2 units, i.e. Option B!!!

6 0
3 years ago
Tom's tank hold 12.5
enyata [817]

Answer:

$24.5 = 1 tank

Step-by-step explanation:

All you have to do is multiply.

Since 12.5 gallons = 1 tank,

and $1.96 = 1 gallon

to get the answer, the equation would be,

$1.96*12.5 = 1 tank

$24.5 = 1 tank

Hope it helps!!

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3 years ago
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