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Katarina [22]
3 years ago
9

How do you find the distance between two coordinate points on the graph?

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

point of intercept

Step-by-step explanation:

measure x and y axis to see where they cross

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
Figure 1 is dilated to get Figure 2.
Anastasy [175]
Answer: 2.25

Divide the corresponding values. You'll divide figure 2's length over figure 1's corresponding length. So 18/8 = 2.25

This means each side of figure 2 is 2.25 times larger than the corresponding side for figure 1
3 0
2 years ago
Read 2 more answers
HELP PLEASE! THIS IS MY LAST QUESTION ILL GIVE BRAINLIEST, NO LINKS. <3
Elena L [17]

Answer: C {3, 4}

Step-by-step explanation:

<em>Solve the inequality:</em>

7x + 6 > 20

7x > 20 - 6

7x > 14

x > 2

Only 3 and 4 are greater than 2.

7 0
2 years ago
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
vlada-n [284]

Answer:

here is the answer

Step-by-step explanation:

hope it helps

3 0
3 years ago
The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
const2013 [10]

Answer:

28.26 units

Step-by-step explanation:

We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.

A = π(3^2) or A = π * 3 * 3

When you substitute pi for 3.14, you'll end up getting 28.26 units.

Hope this helped! :)

6 0
2 years ago
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