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Bumek [7]
4 years ago
6

Factor 8X squared + 10x + 2​

Mathematics
1 answer:
mojhsa [17]4 years ago
3 0

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

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Solve the following problems:<br> Find x , y PLEASE HELP
sukhopar [10]

Answer:

x=5/4, y=7/4

Step-by-step explanation:

This is a similar triangles problem.

The first triangle (the smaller one) has the lengths 5, 8 and 7.

The second triangle (the lager one) has the lengths 5+x, 10, and 7+y

Let's first solve for x

In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)

since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)

For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)

here's the proportion

5/(x+5)=8/10

But before we multiply, we can simplify 8/10 to 4/5

so

5/(x+5)=4/5

Cross multiply

25=4x+20

5=4x

5/4=x

For y, we can do a similar process

We can use 8/10 or 4/5 again

and the ratio of the sides for y will be 7/(y+7)

7/(y+7)=4/5

35=4y+28

7=4y

7/4=y

Hope this helps!

8 0
3 years ago
This graph shows how the length of time a canoe is rented is related to the rental cost . What is the rate of change shown in th
kherson [118]

Answer:

C. $6 per hour.

Step-by-step explanation:

Pick a convenient point on the graph. The rate of change  is the

y coordinate /  x coordinate.

So we pick the point near the top right corner where y = 30 and x = 5 which gives us the answer 30/5 = 6.

6 0
4 years ago
Read 2 more answers
Bless ur heart ( ur a huge help)
almond37 [142]

Answer:

Angle 2

Step-by-step explanation:

They are immediately across from each other and measure the same degrees.

6 0
3 years ago
Read 2 more answers
What is the grates comon factor of 75 8 and 21
garik1379 [7]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Consider the system of equations, x - 2y = 8 and -2x+4y=-16.
sammy [17]

Answer:

y = x/2 - 4    slope-intercept form

y = x/2 + 4   slope-intercept form

NO SOLUTION.

The graph is a pair of parallel lines one line through point (0, -4) and the other through point (0, 4)

Step-by-step explanation:

x - 2y = 8 and -2x+4y=-16.

we can easily convert these to slope intercept form

x - 2y = 8

-2y = 8 - x

2y = x - 8

y = x/2 - 8/2

y = x/2 - 4    slope-intercept form

------------------------------

-2x + 4y = 16

4y = 2x + 16

y = 2x/4 + 16/4

y = x/2 + 4   slope-intercept form

We have 2 lines that are parallel because they have the same slope

6 0
4 years ago
Read 2 more answers
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