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k0ka [10]
3 years ago
9

Use the substitution method to solve the given system of equations. Write

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

(-5/2 , 3/2)

Step-by-step explanation:

y=4+x

6(4+x) + 2x= 4

24 + 6x + 2x= 4

24 + 8x= 4

8x =4 - 24

8x=-20

x= -20/8= -5/2

y-(-5/2)=4

y+5/2= 4

multiply throughout by 2 to clear out fraction

2y + 5= 8

2y= 8-5

2y=3

y=3/2

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A board is 85cm in length and must be cut so that one piece is 11cm longer than the other piece . Find the length of each piece.
iVinArrow [24]

The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

8 0
3 years ago
HELPPP HELP MEH plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The
Kobotan [32]

The minimum number of sides that the polygon at the base of the prism must has 4 sides.

<h3>What is a Polygon?</h3>

This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.

As we know the minimum number of sides a polygon does the base of the polygon have 4 side.

Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.

Learn more about polygons here:

brainly.com/question/1592456

#SPJ1

4 0
1 year ago
Solve the equations:
kodGreya [7K]
Simplifying
3.6y = 5.4 + 3.3y

Solving
3.6y = 5.4 + 3.3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3.3y' to each side of the equation.
3.6y + -3.3y = 5.4 + 3.3y + -3.3y

Combine like terms: 3.6y + -3.3y = 0.3y
0.3y = 5.4 + 3.3y + -3.3y

Combine like terms: 3.3y + -3.3y = 0.0
0.3y = 5.4 + 0.0
0.3y = 5.4

Divide each side by '0.3'.
y = 18

Simplifying
y = 18


2. 3/5(a+5)=-1/3a-4

We move all terms to the left:

3/5(a+5)-(-1/3a-4)=0


Domain of the equation: 5(a+5)!=0

a∈R



Domain of the equation: 3a-4)!=0

a∈R

get rid of parentheses

3/5(a+5)+1/3a+4=0

calculate fractions

9a/(15a^2+75a)+(5aa/(15a^2+75a)+4=0


3. Simplifying
-2(x + 3) = 3x + -9 + -5x

Reorder the terms:
-2(3 + x) = 3x + -9 + -5x
(3 * -2 + x * -2) = 3x + -9 + -5x
(-6 + -2x) = 3x + -9 + -5x

Reorder the terms:
-6 + -2x = -9 + 3x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -9 + -2x

Add '2x' to each side of the equation.
-6 + -2x + 2x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 0 = -9 + -2x + 2x
-6 = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 = -9 + 0
-6 = -9

Solving
-6 = -9 (No solution)

4. Simplifying
2(x + -1) + 6x = 4(2x + -1) + 2

Reorder the terms:
2(-1 + x) + 6x = 4(2x + -1) + 2
(-1 * 2 + x * 2) + 6x = 4(2x + -1) + 2
(-2 + 2x) + 6x = 4(2x + -1) + 2

Combine like terms: 2x + 6x = 8x
-2 + 8x = 4(2x + -1) + 2

Reorder the terms:
-2 + 8x = 4(-1 + 2x) + 2
-2 + 8x = (-1 * 4 + 2x * 4) + 2
-2 + 8x = (-4 + 8x) + 2

Reorder the terms:
-2 + 8x = -4 + 2 + 8x

Combine like terms: -4 + 2 = -2
-2 + 8x = -2 + 8x

Add '2' to each side of the equation.
-2 + 2 + 8x = -2 + 2 + 8x

Combine like terms: -2 + 2 = 0
0 + 8x = -2 + 2 + 8x
8x = -2 + 2 + 8x

Combine like terms: -2 + 2 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 0

Solving
0 = 0 (all real numbers)



5 0
3 years ago
Round 25 to two decimal places
Gnesinka [82]

Answer:

To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.

Step-by-step explanation:

8 0
3 years ago
Just started a new unit and I have no idea what to do anyone have a simpler way to explain this?
jonny [76]
Well it looks like you just need to get the y axis number and the x axis number and multiple then
4 0
3 years ago
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