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stiks02 [169]
2 years ago
5

This is algebra 1 id appreciate it if you could help me thx!

Mathematics
1 answer:
VashaNatasha [74]2 years ago
8 0
The answer to the question above is the first one
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larisa86 [58]

Distance formula

\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

Now

#1

\\ \tt\Rrightarrow AB=\sqrt{(3-3)^2+(-2-8)^2}=\sqrt{100}=10units

#2

\\ \tt\Rrightarrow OK=\sqrt{(5-7)^2+(-2+2)^2}=\sqrt{4}=2units

#3

\\ \tt\Rrightarrow LM=\sqrt{(-4-4)^2+(6+4)^2}=\sqrt{64+100}=\sqrt{164}\approx 13units

#4

\\ \tt\Rrightarrow PC=\sqrt{(5-2)^2+(1-3)^2}=\sqrt{9+4}=\sqrt{13}=3.2units

#5

\\ \tt\Rrightarrow QR=\sqrt{(-2+10)^2+(3-9)^2}=\sqrt{64+36}=\sqrt{100}=10units

8 0
2 years ago
Read 2 more answers
Will give brainliest plz help
Dominik [7]

Answer:

\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

Step-by-step explanation:

Given:

Center of the ellipse is, (h,k)=(-4,-3)

Minor axis length is, 2b=6

A vertex of the ellipse is at (1, -3)

Now, distance between the center and the vertex is half of the length of the major axis.

Using distance formula for (-4, -3) and (1, -3), we get:

a=\sqrt{(1+4)^2+(-3+3)^2}=5

Therefore, the value of half of major axis is, a=5. Also,

2b=6\\b=\frac{6}{2}=3

Now, equation of an ellipse with center (h,k) is given as:

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

Plug in h=-4,k=-3,a=5,b=3 and determine the equation.

\frac{(x-(-4))^2}{5^2}+\frac{(y-(-3))^2}{3^2}=1\\\\\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

Therefore, the equation of the ellipse is:

\frac{(x+4)^2}{25}+\frac{(y+3)^2}{9}=1

6 0
2 years ago
What is the common ratio of the sequence below?<br> 2 1 1 1<br> 3' 6'24' 96
anzhelika [568]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
a window is shaped like a semicircle and has diameter of 2 feet which expression describes the perimeter in feet of the window
mart [117]

Answer:

5.14 ft

Step-by-step explanation:

The perimeter of a circle is diameter X 3.14. since its half a circle, take the radius and multiply by 3.14. Since the radius is 1, the answer is pi itself. Then add 2 feet for the flat side of the semi-circle

3 0
2 years ago
Please help please i need help
PtichkaEL [24]

Answer: the second option is the correct answer.

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 6

d = 17

n = 18

We want to determine the value of the 18th term, T18. Therefore,

T18 = 6 + 17(18 - 1)

T18 = 6 + 17 × 17

T18 = 6 + 289

T18 = 295

7 0
2 years ago
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