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Lynna [10]
3 years ago
12

Sin 70°cos 10°-cos 70°sin 10=√3/2

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Let a =70° and b= 10° (and a-b=70-10 =60)
We have the following trigonometric identity:

sin(a-b) = sin(a).cos(b)-sin(b).cos(a) OR:
sin(70-10) = sin70.cos10 - sin10.cos70
But sin(70-10) = sin(60) and we know that sin(60°) =(√3)/2
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Step-by-step explanation:

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Paralell to y=4x-6 through (12,10)
stiks02 [169]

<u>ANSWER</u>

The line that is parallel to y=4x-6 through (12,10) is  y=2x-14.



<u>EXPLANATION</u>


The equation that is parallel to the line y=4x-6 has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

y=mx+c,this line has slope m=2.


Hence the line parallel to this line also has slope m=2.

Let y=mx+b be the equation of the line parallel to the line

y=4x-6

We can substitute m=2 to obtain;

y=2x+b


If the line passes through the point (12,10),then this point must satisfy its equation.


We substitute x=12 and y=10 to obtain;


10=2(12)+b


We this equation for b.


\Rightarrow 10=24+b


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\Rightarrow -14=b


We substitute this value of  b=-14 in to y=2x+b to get;


y=2x+-14.


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3 0
3 years ago
I need help with number 35.
Sergio039 [100]

Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.

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ED = 6 + 4 = 10

ED = DB = 10

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ED = 10

DB = 10

EB = 20

6 0
3 years ago
How do the points of a figure move in a translation?
Soloha48 [4]

Answer: В. Same distance and same direction

Step-by-step explanation:

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Thus the correct statement relates to translation is "Same distance and same direction"

Hence, the correct option is B.

5 0
2 years ago
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