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3 years ago

What solid 3D object is produced by rotating the quarter-circle about line m

Mathematics

2 answers:

murzikaleks [220]3 years ago

8 0

Answer:

A semisphere (half sphere) with diameter 10 units

Step-by-step explanation:

Grace [21]3 years ago

3 0

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

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Consider the function f(x)=-3x^2 +7x -k. [3 Marks] a) For what values of k will the function have no zeros? b) For what values o

Anna35 [415]

Answer: a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

$f(x)=-3x^2+7x-k$

a) For what values of k will the function have no zeros?

It mean it has no real zeroes i.e. Discriminant < 0

As we know that

$D=b^2-4ac$

Here, a =-3

b = 7

c = -k

So, it becomes,

$D$

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

$D=b^2-4ac=0\\\\D=7^2-4\times -3\times -k=0\\\\49-12k=0\\\\49=12k\\\\k=\dfrac{49}{12}\\\\k=4.08$

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

So, it becomes,

$D=7^2-4\times -3\times -k>0\\\\49-12k>0\\\\-12k>-49\\\\12k$

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

3 0

3 years ago

Describe a real-word example of when it is necessary that line segments are parallel

Alex_Xolod [135]

If you are drawing a map, you may need to draw two parallel line segments.

8 0

3 years ago

Read 2 more answers

The perimeter of this square is 20 inches.

Rashid [163]

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

5 0

3 years ago

A straight line, L, is perpendicular to the straight line y=2x-1 and passes through the point (8,1). Find an equation of L

luda_lava [24]

Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.

Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)

Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.

y = mx + b
y = -1/2x + b

Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.

$\boxed{y=-\frac{1}2x+5}$

7 0

3 years ago

Solve for x<br> type your answer as x = (#)<br> ASAP

Nataliya [291]

Answer:

One step Equations:

1. x=4

2. x=18

3. x=3

4. ×=50

Two Step Equations:

1. x= 7

2. x= -4

3. x= 24

Variations on Both Sides:

(I'm not sure if these are right but the answers above are for sure correct)

1. x= 4.5

2. x= -2

3 0

3 years ago

Read 2 more answers