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Vikki [24]
3 years ago
10

which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

Obtuse triangle.

Step-by-step explanation:

Side a = 5

Side b = 2

Side c = 4

Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad

Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad

Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad

Since one angle is above 90 degrees, the triangle is obtuse triangle.

This cannot be an acute triangle.

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Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).
aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0
3 years ago
Write the equation of a line in the given form.
Gnom [1K]

Answer:

y = \frac{1}{4}x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

-5 = \frac{1}{4}(0) + b

b = -5

Now use the above slope and y intercept to create equation of a line:

y = \frac{1}{4}x - 5

3 0
3 years ago
What is the product of (3x + 1)(3x – 4)?<br> Step by step.
kvasek [131]

Answer:

9x^2-9x-3

Step-by-step explanation:

3x*3x=9x^2

3x*-4=-12x

1*3x=3x

1*-4=-3

9x^2-12x+3x-3

9x^2-9x-3

7 0
3 years ago
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RESUELVE... A. 4X + 5X, B. -3X-2X
777dan777 [17]
I don't recognize this problem, please make sure the input is complete.
8 0
2 years ago
Round 6.94729776259 to 5 decimal places.
blagie [28]

Answer

6.9473

Step-by-step explanation:

7 0
3 years ago
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