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Andrei [34K]
3 years ago
12

-4x+y=23 and 4x-9y=-15

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1

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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
A cubical water tank is 80 cm broad. find the volume of tank?​
Tatiana [17]

Answer:

512000

Step-by-step explanation:

l=80cm

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7 0
2 years ago
The probability of event A occurring is 50%, and the probability of event B occurring is 25%. Events A and B are nonsimultaneous
Misha Larkins [42]

Answer:

The probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur = 0.375

Step-by-step explanation:

The probability of event A occurring = 50% = 0.5

The probability of event B occurring = 25%  = 0.25

Events A and B are non simultaneous events.

The probability of event B does not occur = 1 - P(B)

= 1- 0.25

= 0.75

So the probability of event A occurs but event B does not occur = P(A)* Probability of event B does not occur

= 0.5*0.75

= 0.375

Thank you.

6 0
2 years ago
Pleaze hel0 me i dont know how to do this im giving a brainliest to the first person to answer​
Sliva [168]

Answer:

416mm^{3}

Step-by-step explanation:

Volume is found by Length x Width x Height

10.4 x 5 x 8      

416

7 0
3 years ago
Read 2 more answers
Question 1 options:
OLEGan [10]

Answer:

4000 m^{3}

Step-by-step explanation:

V = 1/3(Bh)  where B is the area of the base and h is the height of the pyramid

B = 20(20) = 400      h = 30

V = 1/3(400)(30) = 4000 m^{3}

5 0
2 years ago
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