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sergij07 [2.7K]
1 year ago
14

What is the Y-Intercept of the line that has a slope of -4 and passes through the point (4,-6)

Mathematics
2 answers:
svlad2 [7]1 year ago
8 0
The y intercept is the y intercept which is 2
IrinaVladis [17]1 year ago
6 0

Answer:

Y-intercept = 22

Step-by-step explanation:

The equation of a line in slope-intercept format is given by the equation y=mx+c

where m is the slope and c the y-intercept.

(The y-intercept is the value of y when x = 0)

Slope given as -4

And we know it passes through the point(4,6) ie at x=4, y =6

Substitute in above equation to get value of c, the y-intercept

6 = -4(4) + c

6 = -16 + c

c = 22

And this is the y-intercept

The equation of the line is y = -4x + 22

See attached figure for graph

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Aleonysh [2.5K]
12 pencils were borrowed. 18- 6= 12
4 0
2 years ago
At 9:00 pm bob leaves his home and starts walking to the bus stop at a constant speed of 9.3 feet per second. bob's house is 432
klio [65]
a. define variables for the quantities that are changing (be specific).
 We define variables:
 t = time in second
 d = distance traveled
 The variables that are changing are t and d.
 As the time increases, the distance decreases.

 b. what does it mean to say bob walks at a constant speed of 9.3 feet per second?
 It means that for every second that passes, Bob walks 9.3 feet.

 c. consider the formula d = 4320 - 9.3t i. what does t represent? ii. what does 9.3t represent? iii. what does d represent? 
 For this case we have:
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5 0
2 years ago
Help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).
Charra [1.4K]

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 

8 0
3 years ago
Find the perimeter and area of the parallelogram shown below
Alona [7]

Answer:

The perimeter of the rhombus is 218. And I think the area is 4320. Wait for more responses to be sure also for the trapezoid I used 54 as my base added them two times then multiplied it by 55 I didn't know if I had to do multiply it by 50 so after I multiplied it by 55 then divided it by two and added it to the area of the triangle in the figure. I'm not sure if I make sense but I know for sure the perimeter is 218.

Step-by-step explanation:

6 0
3 years ago
What is the distance from X to Y?
densk [106]

Answer:

15

Step-by-step explanation:

distance formula

\sqrt{((x2-x1)^2 + (y2-y1)^2)}

\sqrt{(9-0)^2 + (-6-6)^2}

\sqrt{81 + 144}

\sqrt{225}

15

7 0
2 years ago
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