Ask question

Ask question

All categories

3 years ago

5

Write and solve an equation to find three consecutive integers such that three times the sum of the first two integers is the sa

me as thirteen more than four times the third integer.

1 answer:

kherson [118]3 years ago

6 0

Let the integers be x, x+1, and x+2
3(x+x+1)=13+4(x+2)
3(2x+1)=13+4x+8
6x+3=4x+21
2x=18
x=9

the integers are 9,10,11

You might be interested in

Round to 2 SF 18.9 pls its urgent

lawyer [7]

Rounding 2 SF would give you 19

8 0

3 years ago

Select the correct answer Which equation represents a line that is perpendicular to line MN?

taurus [48]

Answer:

D. y = 4x - 6

Step-by-step explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

6 0

2 years ago

Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

So

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

The diagram shows a triangle ABC 2.5 cm 4.6 cm work out the are of the triangle

Paladinen [302]

Answer:

Idk I need the answer too

Step-by-step explanation:

8 0

3 years ago

Marie will earn $15 per hour at a new job.

denis-greek [22]

What’s the question?

7 0

3 years ago

Read 2 more answers