Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
Answer:
7/11
Step-by-step explanation:
Let d represent the original denominator. Then the original numerator is ...
2d-15
The new numerator is ...
(2d-15) +5
and the new denominator is ...
d+7
The ratio of these is 2/3, so we have ...
The original fraction is 7/11.
Answer:
b + r = 10 - - (1)
2r + 3b = 23 - - (2)
Step-by-step explanation:
Number of Blue pens in box A = b
Number of red pens in box A = r
BOX A :
Contains 10 pens that are either red or blue
b + r = 10
BOX B:
Contains 23 pens that are either red or blue ;
Red pens in box B = 2 tines the number of red pens in box A
Blue pens in box B = 3 times the number of blue pens in box A
2r + 3b = 23
Answer:44
Step-by-step explanation:
That’s what I got
