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3 years ago

PLEASE SOLVE 20 POINTS

Mathematics

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

1. Not possible. The slope of such a line is undefined. Its equation is x=7.

2. y = 3x -2

3. The slope is undefined. (The line is a vertical line.)

Step-by-step explanation:

1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.

In slope-intercept form, the equation would be useless:

... y = (undefined)x + (no such value)

If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:

... x = 7

2. The slope of the perpendicular line is the negative reciprocal of this:

... m = -1/(-1/3) = 3

In point-slope form, the equation of the perpendicular line through the given point is ...

... y = 3(x -2) +4

... y = 3x -2 . . . . . . . . simplified to slope-intercept form

3. The slope is computed from ...

... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined

The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...

... x = -1

_____

* If your point is really (77, 88), then the line has equation x = 77.

34kurt3 years ago

3 0

Answer:

1. Not possible. The slope of such a line is undefined. Its equation is x=7.

2. y = 3x -2

3. The slope is undefined. (The line is a vertical line.)

Step-by-step explanation:

1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.

In slope-intercept form, the equation would be useless:

... y = (undefined)x + (no such value)

If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:

... x = 7

2. The slope of the perpendicular line is the negative reciprocal of this:

... m = -1/(-1/3) = 3

In point-slope form, the equation of the perpendicular line through the given point is ...

... y = 3(x -2) +4

... y = 3x -2 . . . . . . . . simplified to slope-intercept form

3. The slope is computed from ...

... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined

The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...

... x = -1

_____

* If your point is really (77, 88), then the line has equation x = 77.

You might be interested in

What is the value of the expression 7^−3 A. 1/343 B.−21 C.343 D.1/343

WINSTONCH [101]

Answer: A. $\frac{1}{343}$

Step-by-step explanation:

First, apply exponent rule.

$=\frac{1}{7^3}$

$7^3=7*7*7=343$

$=\frac{1}{343}$

Hope this helps!

Thank you for posting your question.

-Charlie

4 0

3 years ago

I don’t know how to do it

mote1985 [20]

Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11

So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.

6 0

3 years ago

Write an inequality for the shaded region shown in the figure.

Snezhnost [94]

Answer:

y ≥ x^2 - 1

Step-by-step explanation:

First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)

Then:

y ≥ a*x^2 + b*x + c

where a*x^2 + b*x + c is the general quadratic equation.

Now let's find the equation for the parabola:

f(x) = a*x^2 + b*x + c

We also can see that the vertex of the parabola is at the point (0, -1)

This means that:

f(0) = -1 = a*0^2 + b*0 + c

= -1 = c

then we have that c = -1

Then:

f(x) = a*x^2 + b*x - 1

Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1

Which means that:

f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1

f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1

Then we got two equations:

a + b - 1 = 0

a - b - 1 = 0

from this we can conclude that b must be zero.

Then:

b = 0

and these equations become:

a - 1 = 0

solving for a, we get:

a = 1

Then the quadratic equation is:

f(x) = 1*x^2 + 0*x - 1

f(x) = x^2 - 1

And the inequality is:

y ≥ x^2 - 1

8 0

3 years ago

Question is down below

Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

$Probability( 2 Liquorice) = 12 / 20 * 11 / 19$

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

$Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) = 3/20 * 2/19$

____

Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

$1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}$

Thus, the probability should be 111 / 190

5 0

3 years ago

Please help :c

miss Akunina [59]

Answer: $17.55

Step-by-step explanation:

36 x 0.65 = $23.40 total for all cookies

($23.40/1) x (3/4) = (70.2/4)

70.2 divided by 4 = $17.55

$23.40 x .75 = $17.55

4 0

2 years ago