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3 years ago

Solve the system of equation 2x-y= 6 x+y= -3

Mathematics

2 answers:

Nikolay [14]3 years ago

6 0

that is the solution to the simultaneous equation

Radda [10]3 years ago

4 0

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

x + y = - 3 → (2)

Adding the equations term by term will eliminate the term in y, that is

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting in (2) gives

1 + y = - 3 ( subtract 1 from both sides )

y = - 4

Solution is (1, - 4 )

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The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0

3 years ago

Read 2 more answers

PLZ HELP !! Which of the points (s, t) is not one of the vertices of the shaded region of the

stira [4]

Answer:

A(0,10)

Step-by-step explanation:

Given the 4 inequalities:

s ≥ 12 - 0.5t (1)

s ≥ 10 -t (2)

s ≤ 20-t (3)

s ≥ 0

t ≥ 0

Let analyse all 4 possible answer:

A(0, 10)

Let substitute this point into (1) we have: 10 ≥ 12 -0.5*0 Wrong

We do not choose A

B (0, 20)

Let substitute this point into (1) we have: 20 ≥ 12 -0.5*0 True

Let substitute this point into (2) we have: 20 ≥ 10 - 0 True

Let substitute this point into (3) we have: 20 ≤ 20 - 0 True

We choose B as the vertex

C. (4, 16)

Let substitute this point into (1) we have: 16 ≥ 12 -0.5*4 True

Let substitute this point into (2) we have: 16 ≥ 10 - 4 True

Let substitute this point into (3) we have: 16 ≤ 20 - 4 True

We choose C as the vertex

D. (16,4)

Let substitute this point into (1) we have: 4 ≥ 12 -0.5*16 True

Let substitute this point into (2) we have: 4 ≥ 10 - 16 True

Let substitute this point into (3) we have: 4 ≤ 20 - 16 True

We choose B as the vertex

Hence, the point A(0,10) is not one of the vertices of the shaded region of the set of inequalities.

3 0

3 years ago

If the population of a city is 8,839,469 then declines by 4% every year, what is the population in 3 years?

quester [9]

8,839,469 people* 94% percent of last years population= 8,309,101 people after 1 year
8,309,101 people*94% percent of last years population= 7,810,555 people after 2 years
7,810,555 people*94% percent of last years population= 7,341,922 people after 3 years

7 0

3 years ago

What is the standard form equation of the line shown below?

ch4aika [34]

(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2

y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b

equation is y = 3/2x + 5/2...but we need it in standard form

y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation

3 0

3 years ago

What is the domain of this function

Talja [164]

Answer:

I think its A

Step-by-step explanation:

8 0

3 years ago