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stiv31 [10]
4 years ago
8

Find the slope-intercept form of the

Mathematics
1 answer:
3241004551 [841]4 years ago
3 0
Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5

So I get y = 1/2x - 3/2 
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Please assist me with this problem​
Nimfa-mama [501]

Answer:

  d.  about 50 times larger

Step-by-step explanation:

The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...

  \dfrac{I_2}{I_1}=\dfrac{I_0\cdot 10^{M_2}}{I_0\cdot 10^{M_1}}=10^{M_2-M_1}=10^{4.2-2.5}\\\\=10^{1.7}\approx 50

The larger earthquake had about 50 times the intensity of the smaller one.

8 0
3 years ago
3. Given the following similar triangles. Find the values of variables and label all the unknown angles
astraxan [27]

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x                     DF = 18

BC = 5                     FE = 15

AC = 3                     DE = y

Process

1.- Find y

Use proportions to find it

                 DE/FE = AC/BC

Substitution

                 y/15 = 3/5

Solve for y

                  y = 15(3/5)

                  y = 45/5

                  y = 9

2.- Find x

                AB/DF = BC/FE

Substitution

                x/18 = 5/15

Solve for x

                x = 18(5/15)

                x = 90/15

                x = 6

8 0
4 years ago
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right
mars1129 [50]

Answer:

BC=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

AB^2=AC^2+BC^2

substitute the given values

17^2=8^2+BC^2

solve for BC

BC^2=17^2-8^2

BC^2=225

BC=15\ units

5 0
3 years ago
Read 2 more answers
Let f(x) = x2 - 81. Find f-1(x).
dusya [7]
This is equivalent to finding a function g in which g(x^2-81)=x.

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, f^{-1}(x)=\sqrt{x+81}.
7 0
3 years ago
Find the sum of nth term of the series 1+3/2+5/2^2+7/2^3+.......
ioda

Answer:

an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)

sn = 6 - 2·0.5^n·(2·n + 3)


6 0
4 years ago
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