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Marysya12 [62]
2 years ago
13

The polynomial 3x² - 10x + 8 has a factor of 3x - 4. What is the other factor of 3x² - 10x + 8?

Mathematics
1 answer:
Marysya12 [62]2 years ago
4 0

Answer:

x-2

Step-by-step explanation:

~~~3x^2 -10x+8\\\\=3x^2 - 4x -6x +8\\\\=x(3x-4) -2(3x-4)\\\\=(x-2)(3x-4)

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Find the point on the line y = 2x + 3 that is closest to the origin.
ch4aika [34]
1)We have to make a line perpendicular to y=2x+3, passing through the point (0,0).

y=2x+3   
m=solpe=2

The slope of the line perpedicular to y=2x+3 is m´
m´=-1/m
m´=-1/2

Point slope form:
y-y₀=m(x-x₀)
(0,0)
m=-1/2

y-0=-1/2(x-0)
y=-x/2

Therefore, the line perpendicular to y=2x+3 is y=-x/2.

2)The point on the line y=2x+3 tha is closest to the origin is the point of intersection of the two lines.

y=2x+3
y=-x/2

We can solve this system of equations by equalization method.
2x+3=-x/2
least common multiple=2
4x+6=-x
4x+x=-6
5x=-6
x=-6/5  (=-1.2)

y=-x/2
y=-(-6/5)/2=6/10=3/5    (=0,6)

Therefore: the point of the line y=2x+3 that is closest to the origin is:
 (-1.2 , 0.6)

3 0
3 years ago
What is the 4th term in a geometric sequence for which a1=15 and r=1/3
Hitman42 [59]
Geometric goes liket his
a_n=a_1(r)^{n-1}
given
a1=15
r=1/3
find a4 or 4th term

a_4=15( \frac{1}{3} )^{4-1}
a_4=15( \frac{1}{3} )^{3}
a_4=15 (\frac{1}{27})
a_4=\frac{15}{27}
a_4=\frac{5}{9}
4th term is 5/9
8 0
3 years ago
The volume of a cuboid is 72cmcubed what is the missing lengths
Ne4ueva [31]

Answer:

12

Step-by-step explanation:

72 divided by 6=12

six sides on a cuboid

volume of a cuboid is 72

so divide 72 by 6

8 0
3 years ago
What is the perimeter of the octagon? 11. 2 cm 14. 1 cm 15. 2 cm 20. 8 cm.
sergij07 [2.7K]

Answer:

I think it would be 8

Step-by-step explanation:

8 0
2 years ago
What is the slope-intercept form of the linear equation 2x - 8y = 32?
kiruha [24]

Answer:

y = 1/4x + 4

Step-by-step explanation:

2x - 8y = 32

-2x            -2x

-8y = -2x + 32

divide everything by -8

so that y becomes positive

answer : Y = 1/4x + 4

3 0
3 years ago
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