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Zepler [3.9K]
2 years ago
5

I'm doing Big Ideas Geometry and the question is, "Find the distance between a(-4,-8) and b(-1,4). Could you please show your wo

rk? Will give you all the points.
Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Answer:

Step-by-step explanation:The formula is the long root of (x2-x1)² + (y2-y1)², you have -1 to be the value of x2 and -4 is the value of x1 while 4 is the value of y2 and -8 is the value of y1 therefore (-1+4)²+(4+8)² = (3)²+(12)²= √9+12=√153

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Evaluate the line integral, where c is the given curve. c y3 ds,
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Parameterizing \mathcal C by

\mathbf r(t)=(t^3,t)

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So

\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt
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What is the value of s and the length of side BC if ABCD is a rhombus?
Natali5045456 [20]

Step 1

<u>Find the value of s</u>

we know that

In a Rhombus all sides are congruent

so

AB=BC=CD=DA

AB=9s+29\\CD=10s-16

equate AB and CD

9s+29=10s-16\\

Combine like term

10s-9s=29+16\\

s=45\ units

<u>The answer Part a) is</u>

the value of s is 45\ units

Step 2

<u>Find the value of side AB</u>

AB=9s+29

substitute the value of s

AB=9*45+29=434\ units

Remember that the sides are congruent

AB=BC=CD=DA

therefore

<u>the answer Part b) is</u>

The length of the side BC is 434\ units


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