Which equation represents the graph below

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer: b. -2x+3y=12

Step-by-step explanation: the y intercept is 4, and the line intercepts the x- axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. You can see that answer b simplifies to that. Add 2x from both sides of the equation and you get 3y=2x+12. Divide both sides of the equation by 3 and you get y=2/3x+4

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Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

denis23 [38]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

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

tan48° = $\frac{opposite}{adjacent}$ = $\frac{18}{a}$

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = $\frac{18}{tan48}$ ≈ 16.2 ( to the nearest tenth )

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sin48° = $\frac{opposite}{hypotenuse}$ = $\frac{18}{c}$

Multiply both sides by c

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c = $\frac{18}{sin48}$ ≈ 24.2 ( to the nearest tenth )

4 0

2 years ago

romanna [79]

Answer:

(-1,5)

(0,2)

(-1,1)

(2,-4)

8 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5

vfiekz [6]

The point-slope form:

$y-y_1=m(x-x_1)$

We have the point (-3, -1) and the slope m = 3/5. Substitute:

$y-(-1)=\dfrac{3}{5}(x-(-3))\\\\y+1=\dfrac{3}{5}(x+3)\qquad\text{use distributive property}\\\\y+1=\dfrac{3}{5}x+\dfrac{9}{5}\qqua\text{subtract 1 from both sides}\\\\y=\dfrac{3}{5}x+\dfrac{4}{5}\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4$