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Svetlanka [38]
3 years ago
14

Factor each Polynomial 3x^2 + 17x + 10

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0
3x^2+17x+10\\\\17x=15x+2x\\10=5\cdot2\\\\3x^2+17x+10=3x^2+15x+2x+10\\\\=3x\cdot x+3x\cdot5+2\cdot x+2\cdot5=3x(x+5)+2(x+5)\\\\=\huge\boxed{(x+5)(3x+2)}
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Write an equation of a line that is parallel to y=2x-5 that passes through the point (2,6).
inessss [21]

Answer: Parallel lines have the same slope

y = 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Step-by-step explanation:

3 0
3 years ago
A right triangle with base 3 cm and height 4 cm. What is the hypotenuse
statuscvo [17]

Answer:5

Step-by-step explanation:

3^2+4^2=c^2

9+16=c^2

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7 0
3 years ago
Which system of equations would have no solution? pls helpp
Leya [2.2K]

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

3x  + y = 8 \\ 3x + y = 9

Re-write 'em as a standard form:

3x  + y - 8 = 0 \\ 3x + y - 9 = 0

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

\frac{3}{3}  =  \frac{1}{1}  ≠ \frac{ - 8}{ - 9}

And they do not have any collision point

6 0
3 years ago
Read 2 more answers
A room is in the shape of a cube with 6.2-foot edge lengths.
Veronika [31]
---------------------------------------
Given information
---------------------------------------
It is a cube
Length = 6.2 ft

---------------------------------------
Find one surface
---------------------------------------
6.2 x 6.2 = 38.44 ft²

---------------------------------------
Find all 6 surfaces
---------------------------------------
38.44 x 6 = 230.64 ft²

---------------------------------------
Answer: 230.64 ft²
---------------------------------------
3 0
3 years ago
Based on the markings which lines or segments must be parallel? Justify your answer
Lady bird [3.3K]

L and M are parallel, just like P and N because their angles with other segments are the same

3 0
3 years ago
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