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balu736 [363]
3 years ago
11

Please help thank you!

Mathematics
1 answer:
Lena [83]3 years ago
6 0
1 is D, an angle bisector only cuts the original angle in half.

2 is 
9x - 18 = 3x
6x - 18 = 0
6x = 18
x = 3

3 is 9(3) - 18 = 27 - 18 = 9
You might be interested in
What is the derivative of y with respect to x if y = 2/X4
zepelin [54]
You're correct, the answer is C.

Given any function of the form y=x^n, then the derivative of y with respect to x (\frac{dy}{dx}) is written as:
\frac{dy}{dx}=nx^n^-^1

In which n is any constant, this is called the power rule for differentiation.

For this example we have y= \frac{2}{x^4}, first lets get rid of the quotient and write the expression in the form y=x^n:
y= \frac{2}{x^4} =2x^-^4

Now we can directly apply the rule stated at the beginning (in which n=-4):
\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
6 0
3 years ago
If 5-y^2=x^2 then find d^2y/dx^2 at the point (2, 1) in simplest form. ​
ratelena [41]

Answer:

y"(2, 1) = -5

Step-by-step explanation:

Step 1: Define implicit differentiation

5 - y² = x²

Step 2: Find dy/dx

  1. Take implicit differentiation: -2yy' = 2x
  2. Isolate y': y' = 2x/-2y
  3. Isolate y': y' = -x/y

Step 3: Find d²y/dx²

  1. Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
  2. Substitute y': y" = [-y - (-x/y)(-x)] / y²
  3. Simplify: y" = [-y - x²/y] / y²
  4. Multiply top/bottom by y: y" = (-y² - x²) / y³
  5. Factor negative: y" = -(y² + x²) / y³

Step 4: Substitute and Evaluate

y"(2, 1) = -(1² + 2²) / 1³

y"(2, 1) = -(1 + 4) / 1

y"(2, 1) = -5/1

y"(2, 1) = -5

3 0
3 years ago
Suppose a baseball is thrown vertically upward from the ground with an initial velocity of Subscript[v, 0] ft/s. Its height abov
Zina [86]

Answer:

90.5

Step-by-step explanation:

Velocity is a time-derivative of displacement or the height, in this case.

s(t)=-16t^2+v_0t

v(t) = -32t+v_0

At maximum height, the velocity is 0 and the height is 128.

Substitute these values into both equations above,

0 = -32t+v_0

t=\dfrac{v_0}{32}

From the first equation,

128 = -16t^2 + v_0t

Substitute for t.

128 = -16(\dfrac{v_0}{32})^2 + v_0\times\dfrac{v_0}{32}

128 = -v_0^2/64 + v_0^2/32

128=\dfrac{v_0^2}{64}

v_0^2=8192

v_0=64\sqrt{2}=90.5

5 0
3 years ago
Find the volume of the cone. Use 3.14 for pi.
hram777 [196]

Answer:

V≈157.08

Step-by-step explanation:

I hope this helps

5 0
3 years ago
I need help on these questions please divison with fractions
creativ13 [48]
I feel like the answer is 16. 2 pound container with 1/8 trail mix
5 0
3 years ago
Read 2 more answers
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