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almond37 [142]
3 years ago
6

Please solve and explain the question below

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer:

OPTION A

Step-by-step explanation:

To find the table substitute the points on the given function and compare the values.

The given function is: $ y = x^2 + 2 $.

OPTION A:

(i) When x = -2

LHS = y = 6.

RHS = (-2)² + 2 = 4 + 2 = 6.

LHS = RHS

(ii) When x = -1

LHS = y = 3

RHS = (-1)² + 2 = 1 + 2 = 3.

LHS = RHS

(iii) When x = 0

LHS = y = 2

RHS = 0² + 2 = 2.

LHS = RHS

(iv) When x = 1

LHS = y = 3

RHS = (1)² + 2 = 1 + 2 = 3.

LHS = RHS

(v) When x = 2

LHS = y = 6

RHS = (2)² + 2 = 4 + 2 = 6

LHS = RHS

OPTION B:

(i) When x = -2

LHS = y = -2

RHS = (-2)² + 2 = 6

LHS \neq RHS

OPTION B is eliminated.

OPTION C:

(i) When x = -2

Using the same reason as OPTION B this option is eliminated as well.

So, OPTION A is the correct answer.

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Write the equation of a line that safely lands the plane. Press submit to see if the plane lands safely.
Colt1911 [192]

Answer:

y = \frac{3}{4}x - \frac{1}{4}

Step-by-step explanation:

First, find the slope using the points (3, 2) and (-1, -1):

Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 2}{-1 - 3} = \frac{-3}{-4} = \frac{3}{4}

Find the y-intercept, b, by substituting x = -1, y = -1 and m = ¾ in y = mx + b.

-1 = ¾(-1) + b

-1 = -¾ + b

Add ¾ to both sides

-1 + ¾ = b

(-4 + 3)/4 = b

-¼ = b

Substitute m = ¾ and b = -¼ in y = mx + b.

The equation would be:

✅y = \frac{3}{4}x - \frac{1}{4}

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3 years ago
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Snezhnost [94]
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3 years ago
Find the measures of the interior angles of the triangle.
MrMuchimi

Answer:

∠ A = 59°, ∠ B = 48° , ∠ C = 73°

Step-by-step explanation:

The interior angles of a triangle sum to 180°

sum the 3 angles and equate to 180

x + x - 11 + 73 = 180

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ A = x = 59°

∠ B = x - 11 = 59 - 11 = 48°

∠ C = 73°

7 0
3 years ago
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In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.
Mrrafil [7]

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Answer:

  47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

  sin(T)/t = sin(R)/r

  sin(T) = (t/r)sin(R) = (10/20)sin(104°)

  T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

  S = 180° -R -T = 180° -104° -29°

  ∠S = 47°

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3 years ago
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Answer:

answer in screenshot below :)

Step-by-step explanation:

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