Triangle RST is congruent to triangle .

1 answer:

8 0

Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above

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Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3).

Soloha48 [4]

Step 1: evaluate f(x+h) and f(x)

We have

$f(x+h) = -(x+h)^2+6(x+h)-5 = -(x^2+2xh+h^2)+6x+6h-5$

$= -x^2-2xh-h^2+6x+6h-5$

And, of course,

$f(x)=-x^2+6x-5$

Step 2: evaluate f(x+h)-f(x)

$f(x+h)-f(x)=-x^2-2xh-h^2+6x+6h-5-(-x^2+6x-5)=-2xh-h^2+6h$

Step 3: evaluate (f(x+h)-f(x))/h

$\dfrac{f(x+h)-f(x)}{h}=-2x-h+6$

Step 4: evaluate the limit of step 3 as h->0

$f'(x) = \displaystyle \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}=-2x+6$

So, we have

$f'(1) = -2\cdot 1+6 = 4,\quad f'(2) = -2\cdot 2+6 = 2,\quad f'(3) = -2\cdot 3+6 = 0$

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2 years ago

A ramp with a constant incline is made to connect a driveway to a front door. at a point 4 feet from the driveway, the height of

ziro4ka [17]

The rate of change:
( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =
= 6 in / 2 ft = 3 in / 1 ft
Answer: D ) 3 inches up per foot across

8 0

2 years ago

Read 2 more answers

A cube has a surface area of 294sq. In. What is the length of the sides 49 7 6.6

arlik [135]

Answer:

The length of the sides is 7 In.

Step-by-step explanation:

Given:

A cube has a surface area of 294 sq. In.

Now, to find the sides.

Let the side be $a$