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3 years ago

Factor completely 10x2 + 2x – 8. 2(5x - 1)(x + 4) 2(5x - 4)(x + 1) 2(5x + 2)(x - 2) 2(5x - 2)(x + 2)

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

$10x^2+2x-8= \\
2(5x^2+x-4)= \\
2(5x^2+5x-4x-4)= \\
2(5x(x+1)-4(x+1))= \\
\boxed{2(5x-4)(x+1)}$

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schepotkina [342]

The area of the triangle ABC is 207.5 square units.

Explanation:

The measurements of the sides of the triangle are $AB=19$ , $AC=24$ and $m\angle A=65^{\circ}$

We need to determine the area of the triangle ABC.

Area of the triangle:

The area of the triangle can be determined using the formula,

${Area}=\frac{1}{2} b c \sin A$

where $b=19$ , $c=24$ and $m\angle A=65^{\circ}$

Substituting these values in the above formula, we get,

${Area}=\frac{1}{2}(19)(24) \sin 65^{\circ}$

Simplifying the values, we get,

${Area}=\frac{1}{2}(456) (0.91)$

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Find the equation of the linear function 'g' going through (20,5) and (-5,-8). Use 'u' for your input variable.

frosja888 [35]

Answer:

See below

Step-by-step explanation:

Use the slope-intercept form, which will be in this case:

g(u) = mu + b, where m is the slope, b is the y- intercept

Find the slope:

$m=(y_2-y_1)/(x_2-x_1)$
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3 years ago

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Westkost [7]

42 rhhrhjejrjfitkkrjrjrhrt

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3 years ago

One day in the playground,the ratio of the number of boy to the number of girl is 3:5 later 6girls come, 9boy leave, the ratio o

choli [55]

Answer:

The number of boys are 18 and the number of girls are 30.

Step-by-step explanation:

The ratio of number of girls to the boys = 3 : 5

Let the number of girls is g and boys is b initially.

b : g = 3 : 5

5 b = 3 g ..... (1)

Now, girls are 6 + g and boys are b - 9

So, the ratio is

(b - 9) : (6 + g) = 1 : 4

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From ( 1 ) and ( 2 )

$4 b - \frac {5 b}{3}= 42\\\\\frac{7 b }{3} = 42\\\\b = 18$

And , g = 5 x 18/3 = 30

So, the number of boys are 18 and the number of girls are 30.

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3 years ago