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3 years ago

Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

Here is one way.

$\left\{ \begin{array}{rcl}-2&\mbox{for}&z < 7\\2(z-8)&\mbox{for}&7\le z\le9\\2&\mbox{for}&9 < z\end{array}\right\,$

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2x-y=3 -x-y=3 what does this equal system of equations

Jet001 [13]

Topic : Linear equations in two variables.

Given :

2x - y = 3 ––– (i)
- x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

$\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 3x = 0}$

$\qquad \bf \: { \dashrightarrow x = 0}$

Now, substituting the value of x in Eq (i) :

$\qquad \sf \: { \dashrightarrow 2x - y = 3 }$

$\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }$

$\qquad \sf \: { \dashrightarrow 0- y = 3 }$

$\qquad \bf \: { \dashrightarrow y = - 3 }$

Therefore,

The value of x = 0 and y = -3

3 0

2 years ago

What is the lcm of 56 and 136

Citrus2011 [14]

Answer:

$LCM(56,136)=952$

Step-by-step explanation:

To find the LCM of two numbers, factorize both these numbers:

$56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17$

These two numbers have the common factor of $2^3.$

Now multiply this common factor by the remaining factors:

$LCM(56,136)=2^3 \cdot 7\cdot 17=952$

Therefore, the LCM is 952.

8 0

2 years ago

Find all solutions for a triangle with a = 14, b= 12, and B = 90°.

ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

$a = 14; b= 12; B = 90^\circ$

Required

Find all possible solutions

If $B = 90^\circ$ , then the triangle is right-angled and the hypotenuse is at b

Given that $a = 14; b= 12;$

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0

3 years ago

Does someone mind helping me with this problem? Thank you!

Damm [24]

Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

7 0

2 years ago

Read 2 more answers

PLS HELP ME U DONT HAVE TO SHOW UR WORK

vladimir2022 [97]

-9...................

7 0

2 years ago