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2 years ago

X - 4y = 28 x+2y = -2 it’s substitution

Mathematics

1 answer:

Luda [366]2 years ago

6 0

Step-by-step explanation:

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Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

KonstantinChe [14]

$\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]$

We will apply these following power rule

$x^m*x^n = x^{m+n}$
$x^m/x^n=x^{m-n}$

$[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]$
$[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]$
$x^{-6}y^{-21}[x^{-39}y^{-21}]$
$[x^{-6-39}][y^{-21-21}]$
$x^{-45}y^{-42}$

8 0

3 years ago

Write an equation of the line through (6,-2) with a slope of 4

torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

$y-y_0=m(x-x_{0)}$

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

$y-(-2)=4(x-6)$

which we can work out a little more:

$y+2=4x-24$

And even a little more to finish the equation of the line in its standard slope-intercept form:

$y=4x-24-2=4x-26$

So the equation of the line is:

$y=4x-26$

3 0

1 year ago

Find the slope of the line that goes through the points<br> (12,-14) and (3,-12)<br> Slope, m=

vova2212 [387]

Answer:

-2/9

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

= (-12- -14)/(3-12)

=(-12+14)/(3-12)

=2/-9

= -2/9

5 0

3 years ago

Will the interest rate on subsidized and unsubsidized loans change over time

Andrews [41]

Unsubsidized because there's no way of knowing how many sales you will get

4 0

2 years ago

Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels time as f

ozzi

Answer:

Eliot = 10 miles

Sara = 20 miles

Henry = 30 miles

Jordan = 60 miles

Completed question;

Sara travels twice as far as Eliot when going to camp. henry travels as far as Sara and Eliot together. Jordan travels 3 times as far as Sara. In total, all four travel 120 miles to camp. How far does each of them travel

Step-by-step explanation:

Let x,y,z,w represent the distance travelled by Eliot, sara, henry and jordan respectively.

In total, all four travel 120 miles to camp;

x+y+z+w = 120 ........1

Sara travels twice as far as Eliot when going to camp;

y = 2x ........2

henry travels as far as Sara and Eliot together;

z = x + y = x + 2x = 3x (Substitute eqn 2)

z = 3x ......3

Jordan travels time as far as Sara;

w = 3y = 3(2x) = 6x

w = 6x ......4

Substituting equation 2,3,4 into 1

x+y+z+w = 120

x + 2x + 3x + 6x = 120

12x = 120

x = 120/12 = 10 miles

From equation 2

y = 2x = 2(10) = 20 miles

From equation 3;

z = 3x = 3(10) = 30 miles

From equation 4;

w = 6x = 6(10) = 60 miles

Therefore;

Eliot = 10 miles

Sara = 20 miles

Henry = 30 miles

Jordan = 60 miles

3 0

3 years ago

X - 4y = 28 x+2y = -2 ￼it’s substitution

X - 4y = 28 x+2y = -2 it’s substitution