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2 years ago

Complete the solution of the equation. Find the value of y when x equals 24. -2x + 2y = -56

Mathematics

1 answer:

bixtya [17]2 years ago

5 0

Answer:

Step-by-step explanation:

$Put\ x=24\ to\ the\ equation\ -2x+2y=-56,\ and\ solve\ it\ for\ y:\\\\-2(24)+2y=-56\\\\-48+2y=-56\qquad\text{add 48 to both sides}\\\\-48+48+2y=-56+48\\\\2y=-8\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{-8}{2}\\\\y=-4$

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Step-by-step explanation:

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3 years ago

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What is 0.353 rounded to the nearest tenth

KengaRu [80]

0.4 .

Explanation
Rounding to the tenth, you look at the 2nd number after the period, if it’s greater than 5 or 5 itself u and 1 to the first number after the period. Back to the question 0.353 , the 2nd number after the period is 5, so u add 1 to the 1st number after the period with it’s 3 and 3+1=4. If you are rounding to tenth only leave one number after the period with gives you 0.4. Hopefully you get it.

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2 years ago

5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

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Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

$\frac{AC}{sin30}$ = $\frac{15}{sin40}$ ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = $\frac{15sin30}{sin40}$ ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AC}$ = $\frac{BC}{11.668}$ ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

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3 years ago

Negative plus a positive equals

Sergeu [11.5K]

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Step-by-step explanation:

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3 years ago

Find the distance between the points (3, 8) and (0,4).

Bingel [31]

Answer:

Step-by-step explanation:

(3,8) (0,4)

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