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2 years ago

Where is the fun house placed ?

Mathematics

1 answer:

Nata [24]2 years ago

3 0

(10, 8) On the X axis, the horizontal axis, you move 10 units to the right. On the y axis, the vertical axis, you move 8 units up. Giving you (10, 8) for the answer.

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Solve for x. will give brainliest answer to the one i like most<br> 2x-5=7

aliina [53]

2x-5= 7
Add 5 on both sides
2x= 12
Divide by 2
X= 6

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2 years ago

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The measure of an obtuse angle is greater than 0 and less than 90 degrees 90 degrees greater than 90 and less than 180 degrees

dimulka [17.4K]

The measure of an obtuse angle is greater than 90 degrees and less than 180 degrees.

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2 years ago

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Select the correct answer. Which triangles are congruent according to the SAS criterion?

beks73 [17]

Answer:

side angle side I think its ABC and LMN

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2 years ago

A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?

kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

$f(x)=\frac{1}{2^{2x}}$ (1)

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

$\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]$ (2)

To solve this derivative you use the following derivative formula:

$\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}$

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

$\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)$

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

$-2(ln2)2^{-2x}=-1$

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

$-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235$

With this value you calculate f(a):

$f(a)=\frac{1}{2^{2(0.235)}}=0.721$

Next, you use the general equation of line:

$y-y_o=m(x-x_o)$

for xo = a = 0.235 and yo = f(a) = 0.721:

$y-0.721=(-1)(x-0.235)\\\\y=-x+0.956$

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

$0=-x+0.956\\\\x=0.956$

hence, the x-intercept of the tangent line is 0.956

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2 years ago

Is this a right triangle??? Show work

podryga [215]

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

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2 years ago