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2 years ago

Which is the equation of Line B?

Mathematics

1 answer:

notka56 [123]2 years ago

8 0

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

$\frac{1-2}{1-(-3)}=-\frac{1}{4}$

Next, plug either one of the points into the x and y coordinates to solve for b as such:

$2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b$

<u>Our final equation is $y=-\frac{1}{4}x+\frac{5}{4}$ , or the third option.</u>

You might be interested in

Solve for x <br> Find ADB<br> Find BDC

NeTakaya

Answer:

x=12 ADB= 56 BDC= 54

Step-by-step explanation:

ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation

(3x+10) + (4x-4) = 90

I combined like terms to give me 7x+6=90

Then I subtract 6 from both sides giving me 7x=84

Last I divide 7 on both sides. x=12

Then I input the x (12) into the equation and solve it from there

3(12)+10 and 4(12)-4

3(12)+10=56

4(12)-4=54

. . . I think. Hope this helps!

5 0

3 years ago

Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva

torisob [31]

Answer:

$h = 15.163\ meters$

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

$tan(30) = (h - 1.5) / x$

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

$tan(45) = (h - 1.5) / (x - 10)$

So rewriting both equations using the tangents values, we have that:

$0.5774 = (h - 1.5) / x$

$1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)$

From the first equation, we have that:

$x = (h - 1.5) / 0.5774$

Using this value of x in the second equation, we have that:

$h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10$

$h + 8.5 = \frac{ (h - 1.5) }{0.5774}$

$0.5774h + 4.9079 = h - 1.5$

$0.4226h = 6.4079$

$h = 15.163\ meters$

5 0

2 years ago

Pls help its timed no fake answers i cant afford to fail

SOVA2 [1]

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:

8 0

2 years ago

Can somebody help me with this ASAP

Harman [31]

Answer:

Slope is -2/5 and y-intercept is 4

Step-by-step explanation:

Because of y=mx+b

b is always going to be the y-intercept and mx is going to be the slope.

5 0

2 years ago

Read 2 more answers

Help me please,thnx smh

drek231 [11]

The awnser is 48 because of the first table

7 0

3 years ago