All categories

4 years ago

How many solutions does the following equation have? |4x + 12| = 0

Mathematics

2 answers:

liq [111]4 years ago

6 0

Only -3 satisfies this equation. so i think it has only one solution! hope it will help you..

beks73 [17]4 years ago

5 0

Acorrding to my calculations it would equal x=-3

You might be interested in

(-5d+8)(d-3)= in polynomial standard form.

Solnce55 [7]

-5d^2+23d-24

(The ^2 means to the second power... exponent!)

5 0

4 years ago

I need help with this question

raketka [301]

Answer:

a)$21 b)$32 c)$52.5

Step-by-step explanation:

a) 84/4=$21

b) 128/4=$32

c) 210/4=$52.5

8 0

3 years ago

What is the distance between the following coordinates? Show work.

miss Akunina [59]

Answer:

$\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } }$

<h3>♁ Question :</h3>

Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

$\boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}$

Substitute the actual value of the points into the distance formula and then simplify.

$\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}$

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

$\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}$

Remember : ( - ) × ( - ) = ( + )

$\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}$

Add the numbers : 4 and 6

$\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}$

Evaluate the power

$\longrightarrow{ \sf{ \sqrt{4 + 100}}}$

Add the numbers : 4 and 100

$\dashrightarrow{ \sf{ \sqrt{104}}}$

$\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}$ units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is $\sf{2 \sqrt{26}}$ units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

5 0

3 years ago

In the rectangle below, AE=2x+8, CE=5x+4, and m

ICE Princess25 [194]

Answer: 2x+8=12, 5x+4=29

Step-by-step explanation:

2x2=4+8=12

5x5=25+4=29

7 0

3 years ago

Express the prime number 31 in the form 2^p − 1 where p is a prime number and as a difference of two perfect squares using the i

stellarik [79]

Answer:

31 = 2⁵ -1

31 = 16²- 15²

Step-by-step explanation:

As we know that

2¹=2

2²= 4

2³= 8

2⁴= 16

2⁵=32

32 = 2⁵

By subtracting 1 in bot sides

32-1 = 2⁵ -1

31 = 2⁵ -1

2⁵ -1 = 31

By comparing with

$2^p-1$

p= 5

As we know that

15²= 225

16² = 256

16²- 15² = 256-225 = 31

16²- 15² = (16+15)(16-15)

31 = (16+15)(16-15)

5 0

4 years ago