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2 years ago

What slope would make the lines

Mathematics

2 answers:

kondaur [170]2 years ago

8 0

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same.

m = 4

nignag [31]2 years ago

3 0

Answer:

Step-by-step explanation:

Parallel lines have the same slope and since the slope of the first line is 4 the second lines slope is also 4

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7b+12=5b what is the value for b?

likoan [24]

Answer:

B = -6

Step-by-step explanation:

7b + 12 = 5b

12 = -2b

-6 = b

Hope this helps. Pls give brainliest.

6 0

2 years ago

Use the Associative Property to find the value of the variable. (8 x 15) x s = 8 x (15 x 11)

kvasek [131]

Answer:

hey its me again so the answer is 11.

I'm sure because I did this.

5 0

1 year ago

At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

Answer-

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

Solution-

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$

Now, equating this to 0

$(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x}) =0$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}-(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}=(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{1}{2}}=48e^{2x}$

$\Rightarrow (1+16e^{2x})}=48^2e^{2x}=2304e^{2x}$

$\Rightarrow 2304e^{2x}-16e^{2x}-1=0$

Solving this eq,

we get $x= \frac{1}{2304e^4-16e^2}$

∴ At $x= \frac{1}{2304e^4-16e^2}$ the curvature is maximum.

6 0

2 years ago

Which skier will have a greater potential energy? Skier one is higher then skier two.

masha68 [24]

Skier one will have more potential energy

7 0

2 years ago

Read 2 more answers

The width of a rectangle is 18 meters less than twice the length, x. The width of the rectangle is 68 meters. Which equation can

Morgarella [4.7K]

Answer:

None of the options are correct, as the answer is 2x - 18 = 68.

Step-by-step explanation:

The 2x represents the length (x) being half of the width (68)

The -18 represents the width (68) being 18 less than twice the length (2x)

8 0

2 years ago