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motikmotik
3 years ago
15

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

(5/2) ² or 25 /4

Step-by-step explanation:

x² - 5x - 18 = 0

x² -5x = 18

x² -5x + (5/2)²= 18 + (5/2)²

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In the space provided below, solve the inequality x/8 - 13 > -6 for x algebraically. Show all work. ​
Lady_Fox [76]

Answer:

x > 56

Step-by-step explanation:

x/8 - 13 > -6

x/8 > 7

x > 56

6 0
1 year ago
What must be added to x² + 6x²-x+ 5 to make it exact divisible by (x + 3)​
maxonik [38]

Let f(x) = x² + 6x²-x+ 5 then ,

number to be added be P

then,

f(x) = x² + 6x²-x+ 5 +P

According to the qn,

(x+3) is exactly divisible by zero then,

R=0

comparing .. we get a= -3

now by remainder theorm

R=f(a)

0=f(-3)

0=(-3)² + 6(-3)²-(-3)+ 5 + P

0= 9 + 54 + 3 + 5 + P

-71=P

therefore, -71 should be added.

Hope you understand

4 0
2 years ago
Besides knowing every corresponding side and angle of one triangle is congruent to another, how could you prove that two triangl
Citrus2011 [14]

Step-by-step explanation:

Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)

7 0
3 years ago
A hotel is in the shape of a​ cylinder, with a circular foundation. the circumference of the foundation is 4 times the​ radius,
Marat540 [252]
Let
C-------> the length of a circumference

C=2*pi*r-----> equation 1

we know that
in this problem-----> <span>the circumference of the foundation is 4 times the​ radius, increased by 114 ft
</span>so
C=4*r+114------> equation 2
(1)=(2)
2*pi*r=4*r+114------> 2*pi*r-4*r=114-----> r*[2*pi-4]=114---> r=114/[2*pi-4]
r=114/[2*pi-4]-----> 50 ft

the answer is
r=50 ft

3 0
3 years ago
In Spetember of 2013, Mario The Baker introduced a new chocolate cake and hired Doug and Jeremy to bake these cakes. Every custo
professor190 [17]

Answer:

There is a 90.32% probability that the cake was baked by Doug.

Step-by-step explanation:

We have these following probabilities:

A 70% probability that Doug bakes the cake.

A 30% probability that Jeremy bakes the cake.

A 40% probability that a cake baked by Doug gets a thumbs up.

A 10% that a cake baked by Jeremy gets a thumbs up.

One cake was selected at random on 10/01/2014 and got a "thumbs up".

1. Find the probability that the cake was baked by Doug.

The probability that a baked cake gets a thumbs up is:

P = 0.7*0.4 + 0.3*0.10 = 0.31

Of those, 0.7*0.4 = 0.28 are baked by Doug.

So the probability is:

P = \frac{0.28}{0.31} = 0.9032

There is a 90.32% probability that the cake was baked by Doug.

4 0
3 years ago
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