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amid [387]
3 years ago
12

Find the slope of the line through the given points (9,2) and (7,8)

Mathematics
1 answer:
Kipish [7]3 years ago
3 0
The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:

slope=(8-2)/(7-9)=6/-2=-3

m=-3
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3 years ago
F(x) = 17 - 2x<br> Find f(a + 7)
Fudgin [204]

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
12. A carpenter made two tables. The first table is 4 feet
Arte-miy333 [17]

Answer:

a. True

b. True

c. False

d. False

Step-by-step explanation:

<u>First Table</u>

Length=10 feet, Width=4 feet

Area =10 X 4=40 Square Feet

<u>Second Table</u>

The second table is half as long  as the first table.

Length =0.5 X 10 =5 feet

Area=5 X Width= 5w

The area of the second table is one  fourth the area of the first table.

Area of Second Table =\frac{1}{4} X Area of first table

5w=\frac{1}{4} X 40

5w=10

Width of the Second table, w=2 feet

The following are true.

(a)The width of the second  table is 2 feet.

(b) The area of the second  table is 10 square feet.

6 0
3 years ago
There is a line that includes the point(10, 5)and has a slope of 1 What
ziro4ka [17]

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

3 0
3 years ago
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