4 years ago

(-4,-3) and (4,3) distance formula

Mathematics

2 answers:

TEA [102]4 years ago

3 0

Answer:

The answer is 10

Ilia_Sergeevich [38]4 years ago

3 0

Answer:

Step-by-step explanation:

by using the distance formula we can conclude that the distance between points a and b is 10 units

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nasty-shy [4]

Answer:

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Step-by-step explanation:

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3 years ago

What is the sum of the geometric sequence -1, 6, -36, ....if there are 7 terms.

anzhelika [568]

Answer:

A) - 39,991

Step-by-step explanation:

Sum of geometric sequence formula is

$S = a(\frac{1 -r^n}{1-r} )\\a=-1, r=6/(-1)=-6, n=7\\\\S = -1(\frac{1 -(-6)^7}{1-(-6)} )= -\frac{279937}{7} = -39991$

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3 years ago

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djyliett [7]

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4 years ago

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A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordin

Anit [1.1K]

Answer:

$y=5e^{2x}$

Step-by-step explanation:

Let (x,y) represents a point P on the curve,

So, the slope of the curve at point P = $\frac{dy}{dx}$

According to the question,

$\frac{dy}{dx}=2y$

$\frac{1}{y}dy=2dx$

Integrating both sides,

$\int \frac{dy}{y}=2dx$

$ln y=2x+ln C$

$ln y-ln C = 2x$

$ln(\frac{y}{C})=2x$

$\frac{y}{C}=e^{2x}$

$\implies y=Ce^{2x}$

Since, the curve is passing through the point (0, 5),

$5=Ce^{0}\implies C=5$

Hence, the required equation of the curve is,

$y=5e^{2x}$

7 0

4 years ago

What are the values of a and b in the figure?

Sergio039 [100]

Answer:

a = <u>76°</u>

b = <u>124°</u>

Step-by-step explanation:

Since the lines are parallel, we can prove that the smaller triangle's missing angle (shares a line with ∠b) is 56°.

180-56=124°

∠b=124°

Now to find Angle A:

180-56-48=

124-48=

76°

∠a=76°

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3 years ago