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vfiekz [6]
3 years ago
7

What are the solutions of the quadratic equation? 2 x 2 – 16 x + 32 = 0

Mathematics
2 answers:
shusha [124]3 years ago
5 0

Answer: x = 4 twice

Step-by-step explanation:

The given quadratic equation is expressed as

2x^2 - 16x + 32 = 0

Dividing the left hand side and the right hand side of the equation by 2, it becomes

x^2 - 8x + 16 = 0

We would find two numbers such that their sum or difference is -8x and their product is 16x^2. The two numbers are - 4x and - 4x. They,

x^2 - 4x - 4x + 16 = 0

x(x - 4) - 4(x - 4) = 0

x - 4 = 0 or x- 4 = 0

x = 4 twice

Evgen [1.6K]3 years ago
3 0

Answer:

4 - 16 x + 32 = 0

- 16 x = - 4 - 32

- 16 x = - 36

X = 2.25

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antiseptic1488 [7]

Answer:

C) \{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}

Step-by-step explanation:

(3x-1)^2=5\\\\3x-1=\pm\sqrt{5}\\\\3x=1\pm\sqrt{5}\\\\x=\frac{1\pm\sqrt{5}}{3}\\ \\\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}

3 0
2 years ago
Can someone help me real fast please.
lilavasa [31]

Answer:

Step-by-step explanation:i wanted to ask this questionWhich property of metals is Luis most likely going to demonstrate using these materials

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3 years ago
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Owen has a 15 ft ladder, the instructions say that the base of the ladder should be 6 ft from the wall. How high up the wall wil
pogonyaev

Answer:

height = 13.75 feet

Step-by-step explanation:

use the Pythagorean theorem

hypotenuse^2 =base^2 + height^2

15^2 = 6^2+height^2

225 = 36 + height^2

189 = height^2

height = 13.75 feet

6 0
3 years ago
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the
kati45 [8]

Answer: A) 45 ft

Step-by-step

The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.

4 0
3 years ago
The graph below shows the prices of different numbers of boots at a store: A graph is shown. The values on the x axis are 0, 2,
kobusy [5.1K]

Answer:

b=12.50p

Step-by-step explanation:

Given :

x                 y

0                 0

2                 25

4                 50

6                 75

8                 100

10                125

To Find: Which equation can be used to determine p, the cost of b boots?

Solution :

Using point slope form Find the equation of line of the given coordinates

Let (x_{1} , y_{1})=(0,0)

Let (x_{2} , y_{2})=(2,25)

So, formula : y-y_{1} =\frac{y_{2}- y_{1}}{x_{2}- x_{1}} *(x-x_{1})

y-0 =\frac{25-0}{2-0} *(x-0)

y= 12.50x

Now we are given that cost of b boots is p

Since we are given that x axis is Number of Boots and y in price

So in the equation put x = b and y = p

So, equation : b=12.50p

Hence Option 4 is correct

5 0
3 years ago
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