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liraira [26]
3 years ago
14

PLEASE HELP ASAP WILL MARK BRAINLIEST Solve the quadratic equation 18x^2 -153x -172 =0

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Answer:

The answer is : x = 9.505 and x = -1.005

Step-by-step explanation:

To solve the quadratic equation use the formula :

x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}

Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term

∵ a = 18 , b = -153 and c = -172

∴ x=\frac{-(-153)+\sqrt{(-153)^{2}-4(18)(-172) } }{2(18)}

x = \frac{18+\sqrt{35793} }{36} &x=\frac{18-\sqrt{35793} }{36}

∴ x = 9.505 and x = -1.005

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Ede4ka [16]

Answer:

x = 3

Step-by-step explanation:

both angles together equal 180

Set your formula as

180 = 5x + 165

180 - 165 = 5x

15 = 5x

15/5 = x

3 = x

4 0
3 years ago
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Which of these ratios is NOT the same (not equivalent)? 12/4 12:3 4 to 1 24:6
Margaret [11]

The answer is A: 12/4.

5 0
3 years ago
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If QT is 9 and TP is 8 Find the length of the following:<br><br>RP<br>RT<br>RS​
anyanavicka [17]

Answer:

i. RP = 17

ii. RT = 15

iii. RS = 30

Step-by-step explanation:

Given that; QT = 9 and TP = 8.

From the diagram, join R to P. Thus RP = QP (radius of the circle)

                        RP = QT + TP

                             = 9 + 8

                         RP = 17

Applying Pythagoras theorem to triangle TRP;

             RT = \sqrt{(RP)^{2} - (TP)^{2} }

                  = \sqrt{17^{2} - 8^{2} }

                 = \sqrt{225}

                 = 15

∴           RT = 15

But, RT = TS = 15.

So that;

       RS = 15 + 15

             = 30

        RS = 30

Therefore;  RP = 17, RT = 15 and RS = 30.

6 0
3 years ago
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you pla
Alja [10]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m

So, the base of the ladder is 2.58 m.

8 0
3 years ago
Please help me ive been stuck on this question for days! Thank you
Zielflug [23.3K]
Okay, so this is basically telling you that there is no solution. You don't have to worry about there being one. You just have to justify (or explain) why there isn't one.

Basically, neither y or x is equal to anything. You couldn't make x equal to a value in y because x and y are both together in the equation and equal to numbers. 

We can always move a factor to the other side. So,

x-2y= -8

Add 2y to the other side.

x= -8+2y

Now, plug in -8+2y as x.

3(-8+2y)- 6y=-12

-24+6y-6y= -12

The 6y's cancel out. So, we can't figure out what y is.

-24=-12 <- no y.

These two lines are 
parallel. They have direct proportion in each other. That is why there is no solution because the lines never cross. Parallel lines do not cross. 

I hope this helps! 
~kaikers


6 0
3 years ago
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