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gizmo_the_mogwai [7]
3 years ago
5

P/3 - 2 provide an algebraic expression for p divided by 3 plus 2

Mathematics
1 answer:
Sauron [17]3 years ago
4 0
\frac{p}{3}+2
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Write an equation which is perpendicular to the line of y= -5/2x+2​
S_A_V [24]

Answer:

y = 2/5x

Step-by-step explanation:

Perpendicular lines are lines which have negative reciprocal slopes of each other.

The line y = -5/2 x + 2 has slope -5/2. Therefore its perpendicular slope will be 2/5.

The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).

y = 2/5x

3 0
3 years ago
At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while
aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

\implies tan\theta = \frac{x}{x}    ( at 3pm the height of shadow = height of the pole)

\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

The height of shadow = x + 95,

\implies tan(45-12)^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

4 0
3 years ago
If a quadratic function has x-intercepts at 2 = -
PolarNik [594]

Complete question is;

If a quadratic function has x-intercepts at x = -3 and x = -1, one possible equation of the function would be y = (x + 3)(x + 1), a graph that first

decreases until it reaches the vertex, (-3, -1), then increases (opening upward U shape).

So then, if a quadratic function has x-intercepts at x = -2 and x = 2

a. What is the equation of this quadratic function? Explain your reasoning

b. What is the vertex of the equation? Show your work and explain your reasoning.

Answer:

Quadratic equation is; y = x² - 4

Vertex: (0, -4)

Step-by-step explanation:

The x-intercepts are at x = -2 and x = 2. Thus, the equation is;

y = (x - (-2))(x - 2)

y = x² + 2x - 2x - 4

y = x² - 4

Now,the coordinates of the vertex will be (h, k)

Where;

h = -b/2a

k is the value of y at x = h

From y = x² - 4, h = 0

Thus, putting x = h = 0 in the quadratic equation, we have;

y = 0² - 4

y = -4

Thus,the coordinates of the vertex are; (0, -4)

3 0
3 years ago
Felix can have 1 fish for every 4,000 mm of water in his fish tank. his fish tank holds 180 l. how many fish can he have in his
Alenkasestr [34]
45 fish

1 L = 1,000 mL
180(1,000) = 180,000
180 L = 180,000 mL
180,000/4,000 = 45

3 0
3 years ago
Help!!!!!!!!!!!!<br> 10 points!!!!!!!!!!
Grace [21]

240÷90= between 2 and 3

170÷60= between 2 and 3

250÷80= between 3 and 4

140÷40= between 3 and 4

170÷70= between 2 and 3

110÷30= between 3 and 4

there we go! :)

4 0
2 years ago
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