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Marina CMI [18]
1 year ago
12

Solve for X and Y: Y=2+7x and -2x+6y=-28

Mathematics
1 answer:
Furkat [3]1 year ago
6 0

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

  • y=2+7x....... equation (1)
  • -2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

- 2x + 6(2 + 7x) =  - 28 \\

simplify it

- 2x + 12 + 42x =  - 28 \\ 40x + 12 =  - 28

subtract 12 from both sides

40x + 12 - 12 =  - 28 - 12 \\ 40x =  - 40

divide both sides by 40

\frac{40x}{40}  =  \frac{ - 40}{40} \\ x =  - 1

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y =  - 5

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

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Step-by-step explanation:

volume = length × width × height

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volume = 6/4 = 3/2

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3 years ago
When paid flat a round parachute has a diameter of 8 meters. What is the parachute’s circumference
mariarad [96]

Answer:

25.12 meters

Step-by-step explanation:

The circumference of a circle is given by

c=2\pi r (1)

where:

\pi\sim 3.14

r is the radius of the circle

In this problem, the parachute has a diameter of 8 meters:

d = 8 m

The radius of a circle is equal to half of its diameter, so the radius of the parachute is:

r=\frac{d}{2}=\frac{8}{2}=4 m

And therefore, by applying eq.(1) we can find the circumference of the circle:

c=2\pi r=2\cdot 3.14 \cdot 4 = 25.12 m

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Read 2 more answers
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aev [14]

Answer:

I'll gladly answer if you could give more information. All we can see is the question "Describe whether each equation is true for all one or no values of x," so we need some context.

Step-by-step explanation:

We need context to this.

7 0
2 years ago
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Step-by-step explanation:

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2 years ago
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
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