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Mariulka [41]
3 years ago
9

PLEASE HELP THANK YOU :)

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

the first option

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Factor the polynomial completely
aliina [53]

We have 2x^2-8.




First let us factor the 2 to obtain,


2(x^2-4)


We can now see clearly that the expression inside the parentheses is a difference of two squares.



We now write the 4 as 2². So that we obtain the expression,



2(x^2-2^2)


Recall that


a^2-b^2=(a+b)(a-b)



Hence our expression becomes,




2(x+2)(x-2)



Therefore, when factored completely,




2x^2-8=2(x+2)(x-2)






5 0
3 years ago
A rectangular painting by Leonardo da Vinci measured 62cm along its diagonal. If the painting has a height of 42 cm how wide is
IRINA_888 [86]

ANSWER

45.6cm to the nearest tenth.

EXPLANATION

The diagonal of the rectangular painting is 62cm.

The height of the painting is 42 cm.

The height of the painting h , the diagonal, and the width of the painting forms a right triangle with the diagonal being the hypotenuse.

From the Pythagoras Theorem,

{w}^{2}  +  {42}^{2}  = {62}^{2}

{w}^{2} = {62}^{2} -  {42}^{2}

{w}^{2}  = 2080

{w} =  \sqrt{2080}

w = 4 \sqrt{130}

The width of the painting is 45.6cm to the nearest tenth.

4 0
3 years ago
Which answer is the equation of the line represented in function notation?
algol [13]

That has a y intercept at y=-1.   For every one block to the right we go three blocks up, so that's a slope of 3/1=3.    So in slope-intercept form our equation is

y = 3 x - 1

Answer: third choice

8 0
3 years ago
Read 2 more answers
F(-2)=-2²+3(-2)-2 find f(-2)
olga_2 [115]

Answer:

F(-2)=-2²+3(-2)-2=4+-6×-2=4+12=16

5 0
3 years ago
Read 2 more answers
A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of e
dmitriy555 [2]

The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5  ...(1)

0.2x + 0.5y = 105  ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
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