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3 years ago

Which is a90 degree rotation

Mathematics

1 answer:

Ugo [173]3 years ago

7 0

Answer:

(-x,y)

Step-by-step explanation:

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write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (3,7)

mario62 [17]

Slope intercept form is y=mx+b

y= m or 2 because that is your slope but now all you need to is find your begin or find the point (3,7) on the graph.

8 0

3 years ago

Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

Lera25 [3.4K]

Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

For $f(x)$ to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$
$\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)$
$\iff2=b+c$

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

$f'(x)=\begin{cases}2&\text{for }x1\end{cases}$

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

5 0

4 years ago

and a list of numbers the pattern increases by 0.001 as you move to the right if the third number list is 0.0 64 what is the fir

Ksivusya [100]

Answer:

0.062

Step-by-step explanation:

The numbers will decrease by 0.001 as you move the the left, so the list of numbers can be found as ...

3rd number: 0.064

2nd number: 0.064 -0.001 = 0.063

1st number: 0.063 -0.001 = 0.062

7 0

4 years ago

What property was used on 14k + 2 (3k+5) -5 = 10 to obtain 14k + 6k +10 - 5 =10

Elis [28]

$\boxed{\text{The distributive property}}\\\\\text{In order to solve the equation, you would have to first use the }\\\text{distributive property:}\\\\14k + 2 (3k+5) -5 = 10\\\\\text{Distribute the 2 to the variables inside the parenthesis}\\\\14k+6k+10-5=10\\\\\text{You can see that your outcome matches the equation in the question}\\\\\text{Therefore, the distributive property would be your answer}$

5 0

3 years ago

Read 2 more answers

Theresa bought a new desktop computer. One side of the desktop screen is 14 inches and the

vazorg [7]

Answer:

23 inches

Step-by-step explanation:

assuming that the desktop screen is a rectangle, then it's diagonal will form two right triangles.

by the Pythagorean theorem

${a}^{2} + {b}^{2} = {c}^{2} \\ a = 14 \: and \: b = 18 \\ c = the \: hypoteneuse$

then

${14}^{2} + {18}^{2} = {c}^{2} \\ 196 + 324 = {c}^{2} \\ 520 = {c}^{2} \\ \sqrt{ {c}^{2} } = \sqrt{520} \\ c \: \: is \: a pprox. \: \: 22.8 in \\ c \: \: rounded \: is \: 23in$

8 0

3 years ago