All categories

3 years ago

How many solutions does the equation have?

2 answers:

7 0

$2(2x+5)=4(x+3)\\2\times2x+2\times5=4\times x+4\times3\\4x+10=4x+12\ \ \ \ |subtract\ 4x\ from\ both\ sides\\10=12-FALSE\\\\therefore,\ answer\ is\ \boxed{C.\ No\ solution}$

kondor19780726 [428]3 years ago

4 0

When you distribute the problem become
4x+10=4x+12
Which is not possible. So your answer is no solution.
Hope that helps!

You might be interested in

Does anyone know this??

blagie [28]

Answer:

x = 38, y = 4

Step-by-step explanation:

Since AB = BC then the triangle is isosceles and the base angles are congruent, that is

∠ DAB = ∠ DCB = 52°

Subtract the sum of the base angle from 180° for ∠ ABC

∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°

Note that ∠ ABD = ∠ CBD, thus

x = 76 ÷ 2 = 38

BD bisects the side AC, thus DC = AD = 4

Thus y = 4

5 0

3 years ago

Solving an Absolute Value Equation

Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

$-\,|-x|=-\,12\\|-x|=12$

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

$|-x|=-x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\-x=12\\x=-12$

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

$|-x|=x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\x=12$

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0

3 years ago

Aaron has 16 blue pens and 12 red pens.

Maslowich

Answer:

Step-by-step explanation:

16÷4=4 12÷3=4 meaning is.the lowest common multiple

7 0

2 years ago

Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime

postnew [5]

The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

$\begin{cases}2a+2b=136\\b=3a+28\end{cases}$
$\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}$
$\begin{cases}a+b=68\\b=3a+28\end{cases}$
$\begin{cases}a+3a+28=68\\b=3a+28\end{cases}$
$\begin{cases}4a=40|:4\\b=3a+28\end{cases}$
$\begin{cases}a=10\\b=3*10+28\end{cases}$
$\begin{cases}a=10\\b=58\end{cases}$

The short side has a length of 10 cm, and 58 cm long.

5 0

3 years ago

If you do this ill give you a bunch of points please!!!!!!!

Zarrin [17]

(59, 76) and (65, 100)

y - y1 = m(x - x1)

y - 100 = (100-76)/(65 - 59)(x - 65)

y - 100 = (24/6)(x - 65)

y - 100 = 4(x - 65)

y - 100 = 4x - 260

y = 4x - 160

x = 90

y = 4x - 160

y = 4(90) - 160

y = 360 - 160

y = 200

200 chirps per minute

y = 120

y = 4x - 160

120 = 4x - 160

280 = 4x

x = 70

70 degrees

5 0

3 years ago