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Ganezh [65]
3 years ago
14

If x -9 is a factor of x^2 -5 -36, what is the other factor?

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

Factors are (x-9)(x+4)

Step-by-step explanation:

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Please help me out with this ​
UNO [17]

Step-by-step explanation:

45+90+x=180

135+x=180

x=180-135

x=45

8 0
3 years ago
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
3 years ago
Read 2 more answers
Cai is buying a fruit smoothie from the grocery store and wants the best deal, order the prices from the best to worst deal. (in
snow_tiger [21]

Answer:

Best Fruit, Smooth and Tasty, True Smooth, Healthy Smoothie

Step-by-step explanation:

#1 =0.101 -Best Fruit

#4 =0.24 -Healthy Smoothie

#2 =0.161 -Smooth and Tasty

#3 =0.164 -True Smooth

To get my answer, I divided the price by the number of ounces for each smoothie. This would give you the price of each ounce.

6 0
3 years ago
4 more than the quotient 12 and a number x
snow_tiger [21]

More than means to add.

Quotient means to divide.

4 + (12/x)

6 0
3 years ago
Lucia flips a coin three times. What is the probability she gets (Head, tail, Head) in that order?
Svetach [21]

Answer: \dfrac{1}{8}

Step-by-step explanation:

The total outcomes of tossing a coin = 2

The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8

Favorable outcome= (Head, tail, Head) in order

i.e. Number of Favorable outcomes = 1

We know that , Probability = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Therefore , The required probability =\dfrac{1}{8}

Hence , the probability she gets (Head, tail, Head) in that order=\dfrac{1}{8}

8 0
3 years ago
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