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Tems11 [23]
1 year ago
14

For what values of a are the following expressions true?/a+5/=-5-a

Mathematics
1 answer:
katovenus [111]1 year ago
5 0

Explanation:

The expression is given below as

|a+5|=-5-a

Concept:

We will apply the bsolute rule below

\begin{gathered} if|u|=a,a>0 \\ then,u=a,u=-a \end{gathered}

By applying the concept, we will have

\begin{gathered} \lvert a+5\rvert=-5-a \\ a+5=-5-a,a+5=5+a \\ a+a=-5-5,a-a=5-5 \\ 2a=-10,0=0 \\ \frac{2a}{2}=\frac{-10}{2},0=0 \\ a=-5,0=0 \end{gathered}

Hence,

The final answer is

a\leq-5

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G=3t^2−5t+6<br><br> P=−8t^2+7t−9<br><br> G+P=
kotykmax [81]

Answer:

  -5t^2 +2t -3

Step-by-step explanation:

Collect terms in the sum:

  G+P = (3t^2 -5t +6) +(-8t^2 +7t -9) = (3-8)t^2 +(-5+7)t +(6-9)

  = -5t^2 +2t -3

3 0
3 years ago
If the flare is launched with an initial velocity of 144 feet per second, find the height after 2 seconds. The answer is not 288
Rashid [163]
H= ut -16 t^2

h = 144(2) - 16 (4)

= 288 - 64 = 224
4 0
3 years ago
3(12x – 9) + 9 = 2x + 4<br> Would this be infinite solution, one solution or no solution?
timama [110]

Answer:

One solution

Step-by-step explanation:

Let us first <u>expand</u> the left side of the equation to rid of the parenthesis:

3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4

Now let us <u>isolate</u> the variable to sove for x:

36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}

Therefore, x=\frac{11}{17}. As you can see, there is just one solution.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

8 0
3 years ago
Natalie drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?
sladkih [1.3K]

Answer:

4 days

Step-by-step explanation:

There are 8 pints in a gallon, so it would take 4 days to finish 1 gallon.

6 0
3 years ago
What is the factored form of the trinomial
worty [1.4K]

Answer:

which pair of numbers has a product of ac and a sum of b

ac = (-5)(-3)

sum = -8

x^2 - 5x - 3x + 15

x(x-5)-3(x-5)

(x-3) (x-5)

x=3 x=5

what is the factored form of the trinomial = (x - 3) (x - 5)

2. Factor the following:

x^2 - 8 x + 15

The factors of 15 that sum to -8 are -3 and -5. So, x^2 - 8 x + 15 = (x - 3) (x - 5):

Answer:  (x - 3) (x - 5)

Step-by-step explanation:

6 0
3 years ago
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