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Ksenya-84 [330]
3 years ago
10

Find the value of 1415×211 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,

so the difficulty is the same same excepting the ability to perform the calculation in your head.
Mathematics
1 answer:
BabaBlast [244]3 years ago
9 0

Answer:

298565

Step-by-step explanation:

Given problem,

1415 × 211

∵ Direct multiplication is quite tough so we can split the number into smaller one for making the multiplication easier,

= (1400 + 15) × (210 + 1)

By using distributive property,

= 1400 × (210 + 1) + 15(210 + 1)

Again by distributive property,

= 1400 × 210 + 1400 + 15 × 210 + 15

Simplifying,

=  294000 + 1400 + 3150 + 15

= 298565

Hence, 1415 × 211 = 298565

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Answer: D

Step-by-step explanation:

it equals 15/12

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3 years ago
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What is the equation of this graphed line?
barxatty [35]

Answer:

y=-\frac{1}{3}x-5

Step-by-step explanation:

Given:

The two points on the line are:

(x_1,y_1)=(-6,-3)\\(x_2,y_2)=(6,-7)

Now, for a line with two points on it, the slope of the line is given as:

m=\frac{y_2-y_1}{x_2-x_1}

For the points (x_1,y_1)=(-6,-3)\ and\ (x_2,y_2)=(6,-7), slope is:

m=\frac{-7-(-3)}{6-(-6)}\\m=\frac{-7+3}{6+6}\\m=\frac{-4}{12}=-\frac{1}{3}

Now, for a line with slope 'm' and a point (x_1,y_1) on it is given as:

y-y_1=m(x-x_1)

Plug in all the values and determine the equation of the line. This gives,

y-(-3)=-\frac{1}{3}(x-(-6))\\\\y+3=-\frac{1}{3}(x+6)\\\\y+3=-\frac{1}{3}x-\frac{1}{3}\times 6\\\\y+3=-\frac{1}{3}x-2\\\\y=-\frac{1}{3}x-2-3\\\\y=-\frac{1}{3}x-5

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y=-\frac{1}{3}x-5

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3 years ago
28 4/7 simplify chang percent to a fractiom
Tresset [83]
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however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

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