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Umnica [9.8K]
3 years ago
12

Find the distance between these points. r(-1, 0), s(8, 6)1-√(26)2-√(85)3-3√(13)

Mathematics
1 answer:
bixtya [17]3 years ago
6 0
Distance between two points, d, is given by
d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }

where: (x1, y1) = (-1, 0) and (x2, y2) = (8, 6)
d= 
\sqrt{ ( 8 - (-1)) ^{2} + (6 - 0) ^{2} } \\ d= \sqrt{ (9)^{2} + 6^{2} }  
\\ d= \sqrt{81+36}  \\ d= \sqrt{117}  \\ d=10.8 \ units

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Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
Sphinxa [80]
The second one. Do the math. .35 x 63 = 22.05
4 0
2 years ago
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Compute each quotient using the identities you discovered in this lesson.x^4-16/x-2
luda_lava [24]

Answer:

The quotient will be (x^2+4)(x+2)

Step-by-step explanation:

We have given the equation \frac{x^4-16}{x-2}

We have to find the quotient

From algebraic equation we know that a^2-b^2=(a+b)(a-b)

So \frac{x^4-16}{x-2}=\frac{(x^2)^2-4^2}{x-2}=\frac{(x^2+4)(x^2-4)}{x-2}=\frac{(x^2+4)(x+2)(x-2)}{x-2}=(x^2+4)(x+2)

So the quotient will be (x^2+4)(x+2)

8 0
2 years ago
Need help fast plz for my pre calc exam
bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

c^2=a^2+b^2-2ab\cos x

Since we know the values of all three side lengths, we solve the equation for x:

\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}

For the triangle ABC in the image, a=10, b=15, c=13, thus:

\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}

\displaystyle \cos A=\frac{156}{300}

\displaystyle \cos A=0.52

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

\displaystyle \sin 58.67^\circ=\frac{h}{10}

Solving for h:

h = 10\sin 58.67^\circ

h = 8.54 units

6 0
3 years ago
Which statement about 4x2 + 19x – 5 is true?
Thepotemich [5.8K]

Answer:

(x+5)

Step-by-step explanation:

=>4x^2+19x-5\\=>4x^2+20x-x-5\\=>4x(x+5)-1(x+5)\\=>(x+5)(4x-1)

Here, (x + 5) matches your answer choices

3 0
2 years ago
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