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3 years ago

Question 1

Mathematics

1 answer:

timofeeve [1]3 years ago

6 0

Answer:

4(xy + w + z)

Step-by-step explanation:

The expression to be factored is:

4xy + 12w + 12z

Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.

To solve this problem, we need to find the factors of the given terms:

4xy

12w

12z

The numbers given as coefficients of the variables are;

4 12 12

A factor is any integer that divides a number evenly;

Factors of 4 are 1, 2 and 4

12 are 1, 2,3,4,6 and 12

The common factors between 4 and 12 are those numbers that can divide both digits:

These are 1, 2, and 4, they are common to both

Now, the greatest common factor is the highest of this factors which is 4

Therefore, the greatest common factor of 12 and 4 is 4

Also, xy, w and z has no common factors

Factoring

4xy + 12w + 12z = 4(xy + w + z)

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lakkis [162]

Answer: 17

Step-by-step explanation: The range of a data set is the difference between the largest and smallest numbers

In this data set, the largest number is 22 and the smallest number is 5 so the range of the data set will simply be 22 - 5 or 17.

So the range of this data set is 17.

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3 years ago

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In the triangle below,

Greeley [361]

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

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3 years ago

What are the diameters of the painting? Easy!!!

zalisa [80]

x = 10.22 in

Solution:

Width of the figure = x in

Length of the figure = (2x + 5) in

Area of the figure = 260 in²

To find the value of x:

Area of the figure = length × width

length × width = 260

(2x + 5) × x = 260

$2x^2+5x=260$

Subtract 260 from both sides of the equation.

$2x^2+5x-260=0$

Factor the above quadratic expression.

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-260)}}{2 \cdot 2}$

$$x=\frac{-5 \pm \sqrt{2105}}{4}$

$$x=\frac{-5+\sqrt{2105}}{4}, \ x=\frac{-5-\sqrt{2105}}{4}$

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Dimension of the figure cannot be measured in negative terms.

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3 years ago

Factor the following: 6x∧2-48x+42

frez [133]

Answer:

6 (x−7)(x−1) this is the correct answer

8 0

3 years ago

If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x

Virty [35]

Answer:

1) 5

2) 5

Step-by-step explanation:

Data provided in the question:

(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)( $x^y$ )

Now,

on simplifying the above equation

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)( $x^y$ )

⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)( $x^y$ )

⇒ $(\frac{3^{27}}{3^{28}})(\frac{5^{10}}{5^8})z=x^y$

⇒ $(\frac{5^2}{3})z=x^y$

⇒ $\frac{5^2}{3}=\frac{x^y}{z}$

we can say

x = 5, y = 2 and, z = 3

Now,

(1) y is prime

since, 2 is a prime number,

we can have

x = 5

2) x is prime

since 5 is also a prime number

therefore,

x = 5

8 0

3 years ago