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ra1l [238]
3 years ago
10

Classify the equation, 7x + 2 = 7x - 3, as having one solution, no solution, or infinitely many solutions.

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

No solution

Step-by-step explanation:

To solve this, we subtract 7x from both sides to get 2=-3. Since 2 does not equal to negative 3, there is no solution.

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Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

Sin P = 0.3

P = Sin^{-1} 0.3\\

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

6 0
2 years ago
The area of a rectangle is 63 m2 , and the length of the rectangle is 5 m more than double the width. find the dimensions of the
Kamila [148]
If you let x represent the width of the rectangle, then you can write the equation for area as
.. x(2x +5) -63 = 0
This has positive solution x=4.5.

The rectangle is 4.5 meters by 14 meters.

7 0
3 years ago
Find the sum of the following infinite geometric series.
pishuonlain [190]
Answer is b hope this helps you
6 0
3 years ago
At the end of 8 years, Anna paid $400 interest for a loan. If the simple annual interest rate was 4%, how much did Anna borrow?
Valentin [98]

Answer:

$1,250

Step-by-step explanation:

You can find the answer using the following formula:

i = Prn

i= interest= $400

P= principal

r= rate of interest=0.04

t= time periods= 8

You can replace the values you have in the formula and then, isolate P:

400= P*0.04*8

400=P*0.32

P= 400/0.32

P= 1250

According to this, the answer is that Anna borrowed $1,250.

4 0
3 years ago
Read 2 more answers
5 + 1 7/8 and explain answer
anzhelika [568]

Answer:

6 7/8

Step-by-step explanation:

To evaluate 5 + 1 7/8 we combine the integers 5 and 1 and to this sum add the fraction 7/8:

5 + 1 + 7/8 = 6 7/8 (six and seven eighths)

8 0
3 years ago
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