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Oksi-84 [34.3K]
2 years ago
13

HELP ME Use the figure shown. Let point D be at ( - 4,1). Use the sides of ABDA to find the slope of the line. Ay 4 3 C(-2,2) 2

B(-4, 2) 1 A(-2, 1) X -7-6-5-4-3-2 O The slope is???​
Mathematics
1 answer:
ipn [44]2 years ago
8 0

Answer:

slope = -1/2

Step-by-step explanation:

we use point B and point A to find the slope

A(-2,1)    B(-4,2)

-2 = x1

1 = y1

-4 = x2

2 = y2

the formula for slope is: y/x = y1 - y2  /  x1 - x2 = 1 -2 / -2-(-4) = -1/2

Graph is in picture                                                                      

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What I can tell you is that the angle is less than 90 degrees.
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What is the next step to10x-4(2x-9)​
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3 years ago
What is the first step in solving for zin equation 5z - 4 = 26
aksik [14]

Answer:

add 4 on both sides

Step-by-step explanation:

7 0
3 years ago
Hello, can someone help me with these ones pls? I need it ASAP Find the slope of the line in each figure. If the slope of the li
sp2606 [1]

Answer:

slope: -3

equation: y = -3x

Step-by-step explanation:

the slope is "the amount of change in the y direction when you take one step to the right".

In the first graph you can see that (0,0) and (1,-3) are on the graph. So when you step from x=0 to x=1, the graph moves 3 units down. Hence the slope is -3. The minus sign means down.

Sometimes it is difficult to see the change in the y direction when only taking 1 step to the right. That's no problem, if you take e.g., 4 steps to the right, you have to divide the y change that you found by 4.

Written in a formula it is dy/dx, a.k.a: the y change divided by the x change.

So that takes care of the slope.

In a general formula for a line y = ax + b, the slope is the letter a.

b is used to move the graph up and down. The first graph moves through (0,0) so no b needed, hence the equation y = -3x.

If b would be, say, 5, the graph would be lifted up by 5. In fact, the point (0,b) will be the point where the graph crosses the y-axis. So you find b by finding the intersection with the y axis. x must be 0 at this point.

With this approach you can solve all assignments easily.

6 0
3 years ago
An atlas contains a map of Ohio. The table shows data from the key on the map.
Rashid [163]

Answer:

The answer is below

Step-by-step explanation:

a) The graph is attached

b) The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-25=\frac{50-25}{20-10} (x-10)\\\\y-25=2.5(x-10)\\\\y-25=2.5x-25\\\\y=2.5x

The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.

c) y = 2.5x

put x = 48 mm

y = 2.5(48)

y = 120 miles

The actual distance between Toledo and Columbus is 120 miles

d) y = 2.5x

Put y = 225 miles

225 = 2.5x

x = 225/2.5

x = 90 mm

The distance on map between Cincinnati and Cleveland is about 90 mm.

8 0
3 years ago
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