Y = mx + b is <span> the "slope-intercept" form of the equation of a line ;
We have y = -x + 6 ;
Then, m = - 1 ;
</span><span>The "point-slope" form of the equation of a straight line is:
</span><span>y - y1 = m(x - x1) ;
But, x1 = - 3 and y1 = 8 ;
We have y - 8 = (-1)( x + 3 );
Finally, y - 8 = -( x + 3 );
The right answer is the fourth choice;
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</span><span>y – 3 = (x – 1) ; the equation becames
</span>
y = x + 2 ;
The right answer is the third choice;
Let the required no. be x then according to question
(84/100)*x = 21
x = 21*(100/84)
x = 2100/84
x = 25
hence the required no. is 25
hope it helped
Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
Answer:
The answer is d
Step-by-step explanation:
I graphed it
-b/2a to get the vertex
3x^2-12+9
-(-12)/(2)(3)=2
plug in 2 to the function
12-24+9=-3 which is the y value on the graph
(2,-3) is the vertex
Answer:
The surface area is 13.08 and the volume is 3.14
Step-by-step explanation:
