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cricket20 [7]
3 years ago
13

Factor completely 2x² − 12 + 10

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

2(x + 1)(x - 5)

Step-by-step explanation:

  First you need to find the GCF (greatest common factor). Each term has 2 in common. Factor the 2 out of each term. 2(x²- 6x + 5)

Next you need to solve inside the parenthesis with an x-puzzle. 2(x+1)(x-5)

Check your answer by multiplying. You should get the expression you began with. 2x² - 12 + 10

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Point A is located at (5, 10) and point B is located at (20, 25).
Alla [95]
Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at  a ratio of 7, thus 3:7,

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------

\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10}  \right)
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C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2}  \right)
8 0
3 years ago
Casandra is training for 10 mile race. On the first day of training she runs 4 miles, each day after that she adds on 0.5 mile.
Naddik [55]
On day no 9, because to increase her mileage by 4 to reach 8 it will take her 4/0.5=8 days plus day 1 where she ran just 4 miles.
8 0
3 years ago
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Work out (5.32 x 10^-7): (2.5 x 10^-5)<br>Give your answer in standard form​
Mrrafil [7]

Answer:

1.33×10^-6

Step-by-step explanation:

5.32 x 10^-7= 5.32×10^(-5-2)= 5.32×10^-2×10^(-5)

=0.0532×10^-5

(0.0532×10^-5) (2.5 x 10^-5)

0.0532×2.5 × 10^-5

0.133×10^-5= 1.33×10^-1 ×10^-5

1.33×10^-6

8 0
3 years ago
I need help babnwnwnnw
hoa [83]
I agree the answer is B I think so
4 0
3 years ago
Please solve!!! Will make Brainliest!!
posledela

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

3 0
3 years ago
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