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ZanzabumX [31]
3 years ago
9

Find the slope of the line. A: -2/3 B: 2/3 C: 3:2 D: -3/2

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (look at the picture) (0, 1) and (-2, -2). Substitute:

m=\dfrac{-2-1}{-2-0}=\dfrac{-3}{-2}=\boxed{\dfrac{3}{2}}\to\boxed{D}

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How do I write an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?
aksik [14]
So you know the new equation must have the same slope as the old equation since they're parallel to one another. Next just simply take the slope and the point given and plug them into the point-slope formula and you have your new equation:
y-y1=m(x-x1) --- Point-Slope Formula
y+5=2(x-4)
y+5=2x-8
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6 0
3 years ago
Write an explicit formula for this table
Artist 52 [7]
The explicit formula would be g_n=5(3)^{n-1}.

This is a geometric sequence, since we are multiplying each term by a constant to find the next term.

The explicit formula for a geometric sequence is given by 
g_n=g_1(r)^{n-1},
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Our first term is 5, and the common ratio is 3.
4 0
3 years ago
The amusement park welcomed a total of 1,655 men, 1,775 women, and 684 children to a special event. This event lasted 22 days. T
vovikov84 [41]

Answer:

187

Step-by-step explanation:

1655+1775+684=4114

4114/22=187

8 0
3 years ago
Read 2 more answers
What is the value of 6 in 70,681? Explain how you know.
Dafna11 [192]

Answer:

it's 100

Step-by-step explanation:

70000

0000

600

80

1

I don't know if you understand

6 0
2 years ago
Solve the triangle.<br><br> B = 36°, a = 38, c = 18
Lady_Fox [76]
Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.

b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7

We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4
°
C =
180 - 36 - 60.4 = 83.6°
4 0
3 years ago
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