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raketka [301]
3 years ago
14

Layanas house is located at (2 2/3, 7 1/3) on a map the store where she works is located at (-1 1/3, 7 1/3) what is the distance

from layanas home to the store
Mathematics
2 answers:
alexira [117]3 years ago
6 0

Answer:

11 Hope it helps out!

Gemiola [76]3 years ago
6 0

Answer:

4

Step-by-step explanation:

To know the distance between two places we have to get the distance of a straight line. To get the distance between two points we have a formula:

distance = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

<em>The first point is (2 2/3, 7 1/3)</em><em> (x1,y1)</em>

<em>the second point is (-1 1/3, 7 1/3) </em><em>(x2,y2)</em>

Now we have to substitute in the formula:

distance = \sqrt{(-1 \frac{1}{3} -2\frac{2}{3} )^{2}+(7\frac{1}{3} -7\frac{1}{3})^{2}   }

Now we have to solve each part of the formula:

distance = \sqrt{(-4)^{2}-0 }

distance = \sqrt{16}

Distance = 4

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What is the value of x? assume that the line is tangent to the circle
nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0
3 years ago
Which of these is the standard form of the following function?<br> f(n) = 7(7 - 1)2 + 3
mina [271]
F
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=
87 That’s Standard form
6 0
3 years ago
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
Rufina [12.5K]

Answer:

babala

Step-by-step explanation:

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.

a) What are the mean and standard deviation of the number of universal donors among the 6 people?

b) What is the probability that there are exactly three universal donors?

7 0
3 years ago
Is y = |x| a function
Doss [256]

Answer:

Yes

Step-by-step explanation:

A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Please help
user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

=  \frac{ - b ±  \sqrt{{b}^{2} - 4ac}  }{2a}  \\ =   \frac{ - 6 ±   \sqrt{{6}^{2} - 4 \times 1 \times  - 720}  }{2}  \\ =    \frac{ - 6 ±  \sqrt{36 + 2880} }{2}  \\  =   \frac{ - 6 ±  \sqrt{2916} }{2}  \\  =   \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2}  \\  =  \frac{48}{2} ... \frac{ - 60}{2}  \\  = 24... - 30

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

Follow me on Instagram,

@khuturr_

8 0
3 years ago
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