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zaharov [31]
3 years ago
11

Can i get some help please

Mathematics
1 answer:
Ymorist [56]3 years ago
5 0

Answer:

fine the value of x the right triangle the answer is 45

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Solve absolute value equations and show work step by step ​please due tomorrow
Sergio039 [100]

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15)  n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2  (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2  

Hence, the solution is n = 0 or -2 (Answer)

4 0
4 years ago
Check<br> What is the slope of the line on the graph?<br> X<br> -2<br> 2.<br> 4<br> -2<br> -4
xxMikexx [17]

slope =  \frac{1}{2}

Hope it helps you...

6 0
3 years ago
3t^8 in standard form
Sunny_sXe [5.5K]

Answer:

that is in standard form?? are u talking about monomials?

Step-by-step explanation:

6 0
3 years ago
Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars. Barney was charged $145.00 for 3 days and 200
Finger [1]

Answer:

The charge per day is $25 and the charge per mile is $0.35

Step-by-step explanation:

Let

x -----> the charge per day

y ----> the charge per mile

we know that

3x+200y=145 -----> equation A

5x+430y=275.50 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (25,0.35)

see the attached figure

therefore

The charge per day is $25 and the charge per mile is $0.35

6 0
3 years ago
The mean of the masses of five articles is 215 g. When another article is added, the mean of the masses of the six articles is 2
lbvjy [14]

Mass of the sixth article will be :

\boxed{ \boxed{245 \: g}}

\mathrm{✌TeeNForeveR✌}

4 0
3 years ago
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