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3 years ago

Solve for x: −3(x + 3) = −3(x + 1) − 5.

Mathematics

2 answers:

Stells [14]3 years ago

7 0

Answer:

no solution

Step-by-step explanation:

−3(x + 3) = −3(x + 1) − 5.

Distribute

-3x-9 = -3x-3-5

Combine like terms

-3x-9 =-3x-8

Add 3x to each side

-3x-9+3x = -3x-8+3x

-9 = -8

This is never true so there is no solution

PilotLPTM [1.2K]3 years ago

3 0

Answer:

x=-7/9

Step-by-step explanation:

To solve this equation we would consider the bracket first according to BODMAS rule

B ..... Bracket open

O........ Of

D,............. Division

M............. Multiplication

A.............. Addition

S............. Subtraction

So, from the question

-3( x +3) = 3(x+1)-5

-3x -9 = 3x + 3 - 5

Collecting like terms

-3x -3x = 3-5+9

-9x= 7

Dividing both sides by -9

-9x/-9= 7/-9

x=-7/9

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The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

kari74 [83]

<h2>Answer:</h2>

$b. \ \boxed{32 \sq. \ units}$

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, $b_{1}\,and\,b_{2}$ . Also, the height $H$ of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of $b_{1},b_{2}\:and\:H$ is:

$A=\frac{(b_{1}\text{+}b_{2})h}{2}$

Since:

$b_{1}=6, \ b_{2}=10, \ and \ H=4$

The area is:

$A=\frac{(6\text{+}10)4}{2}=\boxed{32 \sq. \ units}$

6 0

3 years ago

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Fudgin [204]

A= -2

b=0

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8 0

2 years ago

Graph the system of equations. {x−y=64x+y=4

Fantom [35]

X-y=6 Equation 1
x+y=4 Equation 2

To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)

Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)

Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.

Answer: (5,-1)