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Sophie [7]
2 years ago
13

Write an equation equivalent to the verbal statement “The sum of three times a number n and 7 is 16.”

Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

3n + 7 = 16 (equation)

3n = 9

n = 3 (answer

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Find the values of a and b such that x^2-x+5=(x-a)^2+b
Romashka [77]

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate <em>x</em>'s

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75

5 0
2 years ago
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento vien
Bumek [7]

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

3 0
2 years ago
Which expression shows the distance on the number line between −3 and −10 ?
Crazy boy [7]

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

6 0
2 years ago
Given f(x)=(x+5)(x-2), what are the x-intercepts?
Yuri [45]

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5)   0=(x-2)

x = -5            x = 2

The intercepts are -5 and 2

6 0
3 years ago
C=5.3 mm calculate the diameter of the circle
Leya [2.2K]
C = π×D
D = C/π = (5.3 mm)/π ≈ 1.69 mm
4 0
2 years ago
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