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3 years ago

X = y+2 x+4y=7 Please help!

Mathematics

1 answer:

spayn [35]3 years ago

7 0

Since x = y + 2

so
y + 2 + 4y = 7

5y + 2 = 7

5y = 7-2

5y = 5

y = 1

x= y + 2

x = (1) + 2

x = 3

(x,y) = (3,1)

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Please help, 16 points and i’ll mark you as brainlest

ollegr [7]

I think this is the answer, sorry I am not 100% sure

4 0

2 years ago

find the component equation of the plane which is normal to the vector -2i+5j+k and which contains the point (-10;7;5).

maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).

To find:

The component equation of the plane.

Solution:

The equation of plane is

$a(x-x_0)+b(y-y_0)+c(z-z_0)=0$

Where, $(x_0,y_0,z_0)$ is the point on the plane and $\left< a,b,c\right>$ is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

$-2(x-(-10))+5(y-7)+1(z-5)=0$

$-2(x+10)+5y-35+z-5=0$

$-2x-20+5y-35+z-5=0$

$-2x+5y+z-60=0$

$-2x+5y+z=60$

Therefore, the equation of the plane is $-2x+5y+z=60$ .

4 0

2 years ago

greg invested $20 and qudrupled his money in five years.sabrena also invested $20 and after five years the amount was eqaul to 2

const2013 [10]

Answer:

The money of Greg after five years is $80

The money of Sabrena after five years is $160,000

So,The money of Sabrena is more than Greg after five years .

Step-by-step explanation:

Given as :

Greg invested $20 and quadrupled his money in five years

Let the quadrupled money after five years = $x

∵ quadrupled means the money becomes 4 times of previous

So, x = $20 × 4

i.e x = $80

So, The money of Greg after five years is $80

Again

Sabrena invested $20 and after five years money becomes 20 to the fourth power

Let the money after 20 to the fourth power = $y

So, y = $20^{4}$

i.e y = 160,000

So, The money of Sabrena after five years is $160,000

∵ Sabrena money is more than Greg money

Hence, The money of Sabrena is more after five years . Answer

6 0

3 years ago

A bus makes a stop at 2:30, letting off 15 people and on 9 people. The bus makes another stop ten mins later to let off 4 more p

abruzzese [7]

If you dont know. use x as your original value. Therefore. you would have:
x - 15 + 9
after the second stop you would have:
(x - 15 + 9) - 4

So your answer would either be...
There was ______ more people on the bus before 2:30 than there was after the second stop.
There was ______ more people on the bus after the second stop than there was before 2:30.

4 0

3 years ago

The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimens

lina2011 [118]

Let the width be : x
length : (2x - 6)

(2x - 6) (x) = 2x square - 6x

2x square - 6x = 140
2x square - 6x - 140 = 0

if you use the cross method or calculator you’ll get :

( x - 10 ) ( x + 7) = 0

x = 10 or x = -7 ( reject because negative )
so we use x = 10.

width = 10
length = 2(10) - 6 = 14

4 0

2 years ago