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3 years ago

Evaluate each expression if a = 6, b = 3, and c = 2.

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

1. 18

2. 6

3. ?

4. 3

5. 4

6. 1

7. 5

Step-by-step explanation:

1. 6 x 3 = 18

2. 2 + 4 = 6

3. ( I cant read the problem)

4. 6 - 3 = 3

5. 2 x 2 = 4

6. 3 ÷ 3 = 1

7. 6 - 1 = 5

8. 6 + 2 = 8

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Answer: 8.85km

Step-by-step explanation:

8,850m = 8,850 m⋅1 km / 1,000 m

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2 years ago

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

Len [333]

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
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Need to check if the given choices have the same slope.

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4 0

3 years ago

Read 2 more answers

44 is the same as 113 more than w

Setler79 [48]

Answer:

Step-by-step explanation:

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3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
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$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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3 years ago

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stepladder [879]

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