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3 years ago

A line passes through the points (-1,-4) and (-2,0). What is the equation of this line?

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

Answer:

y = -4x -8

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

m = (0--4)/(-2--1)

= (0+4)/(-2+1)

=4/-1

= -4

We know the point slope form of a line is

y-y1 = m(x-x1)

y-0 = -4( x--2)

y = -4(x+2)

y = -4x -8

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Find the value for x. Round your answer to the nearest hundredth. Area of the triangle = 8 ft^2

zmey [24]

Answer:

x = 3.51

Step-by-step explanation:

Since, formula to determine the area f a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

8 = $\frac{1}{2}(x + 1)(3x - 7)$

16 = x(3x - 7) + 1(3x - 7)

16 = 3x² - 7x + 3x - 7

16 = 3x² - 4x - 7

0 = 3x² - 4x - 23

3x²- 4x - 23 = 0

By quadratic formula,

x = $\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

x = $\frac{4\pm \sqrt{(-4)^{2}-4(3)(-23)}}{2(3)}$

x = $\frac{4\pm \sqrt{292}}{6}$

x = $\frac{4\pm 17.09}{6}$

x = 3.51, -2.18

But the length of sides can't be negative.

Therefore, x = 3.51 will be the answer.

8 0

2 years ago

A company is replacing cables with fiber optic lines in rectangular casing BCDE. I DE - 3 cm and BE - 3.5 cm, what is the smalle

fredd [130]

Answer:

Step-by-step explanation:

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3 years ago

F (x) = -x2 + 8x - 11<br> h(x) = -x-7<br> find f (9) + (-14)

bixtya [17]

Is there a answer choice of -5

5 0

3 years ago

Use this h=graph to graph x > 7

HACTEHA [7]

Btw I’m not 100% confident in this answer.

There is a open circle over 7 in the x-axis b cause it is not greater than and less than 7

5 0

2 years ago

Read 2 more answers

Jason bought 5 movie tickets and a bag of popcorn Jeremy bought 2 movie tickets they spent 54$ total. If the popcorn cost 5$, ho

777dan777 [17]

Total tickets: 7
Popcorn costs: $5
total cost: $54

7x + 5 = 54
- 5 -5

7x = 49

49/7 = 7

Final Answer: x=7

7 0

3 years ago