All categories

2 years ago

How many soultions? -4x-7+10x=-7+6x

Mathematics

1 answer:

hammer [34]2 years ago

4 0

Answer:

C. Infinitely many solutions.

Step-by-step explanation:

-4x - 7 + 10x = -7 + 6x

Combine like terms on the left side. Rearrange the right side.

6x - 7 = 6x - 7

Add 7 to both sides.

6x = 6x

Subtract 6x from both sides.

0 = 0

0 = 0 is a true statement.

Both sides are equal, so all real values of x make the equation true.

Answer: C. Infinitely many solutions.

You might be interested in

Solve the decimal division application round to the nearest 10th if needed there are approximately 39.37 inches in 1 m determine

Shtirlitz [24]

Answer:

D. 1000 meters

Step-by-step explanation:

(39370 in)/(39.37 in/m) = (39.37×1000)/(39.37) m = 1000 m

3 0

3 years ago

The lengths of the sides of a triangle are 15 cm, 20 cm, 30 cm. What are the lengths of the sides of a similar triangle that has

faust18 [17]

Answer:

6 cm,12 cm,8 cm

Step-by-step explanation:

add the perimeter of the first triangle to get 65

then divide 65 by 26 to get 2.5

then divide all the side lengths by 2.5

15/2.5=6

20/2.5=8

30/2.5=12

6 0

3 years ago

Read 2 more answers

At top speed, a boat can cover 1,533 kilometers in 3 hours what unit rate does the boat travel during this time frame?

svlad2 [7]

The unit rate that the boat can travel during this time frame is 511 kilometers in 1 hour.

Hope this helped ((:

4 0

2 years ago

Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3

vagabundo [1.1K]

Answer:

not

Step-by-step explanation:

$\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] *\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]=$

First is A and Second is B

Let's find A*B

$\left[\begin{array}{ccc}-2(-2)+4*3&-2*1+4*7\\1(-2)+3*3&1*1+3*7\end{array}\right] =\left[\begin{array}{ccc}16&26\\7&22\end{array}\right]$

$\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right] \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] =$

Now let's find B*A

$\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]$

c) They are not

7 0

2 years ago

The perimeter of this triangle is 25 units. An angle bisector divides one side of the triangle into lengths of 2 and 3. Find the

grin007 [14]

Answer:

8 and 12

Step-by-step explanation:

Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means

AC/AB = CD/BD = 2/3

The perimeter is the sum of the side lengths, so is ...

25 = AB + BC + AC

25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.

20 = 5/3·AB

12 = AB

AC = 2/3·12 = 8

_____

<em>Alternate solution</em>

The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.

That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).

Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).

The remaining sides of the triangle are AB=12 and AC=8.

7 0

3 years ago