Which equation represents that line that passes through (-6,7) and (-3,6)

Answer:

B. (-4,0) and (-3,0)

Step-by-step explanation:

I used a graphing tool to graph the equation. The parabola intercepts at (-4,0) and (-3,0). Therefore, (-4,0) and (-3,0) are the x-intercepts of the equation.

Option B should be the correct answer.

Answer:

B. (-4,0) and (-3,0)

Step-by-step explanation:

Answer:

The correct answer is option c) (5,0) and (5,-2)

Step-by-step explanation:

In the option c the coordinates of two points lie on x= 5

When we substitute the required points in graph we can see clearly that the coordinates of two points lie on x = 5

HAVE A NICE DAY!

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Answer:

Part B)

[tex]\displaystyle h^\prime(t)=\frac{2t^3(4-t^3)}{(t^3+2)^3}[/tex]

Part C)

[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]

Step-by-Step Explanation:

Question B)

We have:

[tex]\displaystyle h(t)=(\frac{t^2}{t^3+2})^2[/tex]

And we want to find the derivative, h‘(t).

This will require the chain rule and the quotient rule. Remember that the chain rule states:

[tex]\displaystyle \frac{d}{dx}[(u(v(x))]=u^\prime(v(x))\cdot v^\prime(x)[/tex]

And the quotient rule:

[tex]\displaystyle \frac{d}{dx}[\frac{u}{v}]=\frac{u^\prime v-uv^\prime}{v^2}[/tex]

Therefore, for our function h(t), we can let, by the chain rule:

[tex]\displaystyle v(t)=\frac{t^2}{t^3+2}\text{ and } u(t)=t^2[/tex]

Then by the quotient rule:

[tex]\displaystyle v^\prime(t)=\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2}\text{ and } u^\prime(t)=2t[/tex]

Then, by the chain rule, our derivative, h’(t), is:

[tex]\displaystyle h^\prime(t)=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})[/tex]

Simplify:

[tex]\begin{aligned} \displaystyle h^\prime(t)&=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})\\ \\ &=\frac{2t^2}{t^3+2}(\frac{2t^4+4t-3t^4}{(t^3+2)^2})\\ \\ &= \frac{2t^2}{t^3+2}(\frac{-t^4+4t}{(t^3+2)^2}) \\ \\ &=\frac{2t^3(4-t^3)}{(t^3+2)^3} \end{aligned}[/tex]

Part C)

We have:

[tex]h(t)=2\cot^2(\pi t+2)[/tex]

Again, we will utilize the chain rule. This time, we will let:

[tex]u(t)=x^2\text{ and } v(t)=\cot(\pi t+2)[/tex]

Then differentiating gives (on the right, we will apply the chain rule a second time):

[tex]u^\prime(t)=2t\text{ and } v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]

To differentiate v(t), as mentioned, we need to apply the chain rule. We have:

[tex]v(t)=\cot(\pi t+2)[/tex]

We will let:

[tex]u_2(t)=\cot(t)\text{ and } v_2(t)=\pi t+2[/tex]

Therefore:

[tex]u_2^\prime(t)=-\csc^2(t)\text{ and } v_2^\prime(t)=\pi[/tex]

So:

[tex]v^\prime(t)=-\csc^2(\pi t+2)(\pi)[/tex]

And by simplification:

[tex]v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]

Therefore, it follows that:

[tex]h^\prime(t)=2[2(\cot(\pi t+2))(-\pi \csc^2(\pi t+2))][/tex]

So:

[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]

a.

Scottie =  30

Top of the lighthouse =  45   (30+15)

The boat =  0

The fish = -10

b.

10 + 30 = 40

The addition is one of the four fundamental mathematical operations. The Scottie is 40 meters below away from the fish.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The representation of the locations in relation to sea level can be made as,

Scottie = 30 meters above the sea level = +30 meters

Top of the lighthouse = 45 meters above the sea level = +45 meters

The boat = at sea level  = 0 meters

The fish = 10 meters below sea level = -10 meters

B. The Scottie is 40 meters below away from the fish.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ2

Answer:

c)

Step-by-step explanation:

Red line and blue line are parallel. Parallel lines always have same slope

Slope of red line =  -2

Answer:

[tex]\frac{p}{2} + $580[/tex]

Step-by-step explanation:

p = Penny's salary

Karen's salary = $580 more than half of p

We can use the fraction [tex]\frac{p}{2}[/tex] to represent half of p.

Since Karen's salary is $580 more, her salary is $580 + [tex]\frac{p}{2}[/tex] .

Answer:

heyyyy

Step-by-step explanation:

Answer:

The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

Step-by-step explanation:

The​ day's high temperature in St. Louis ,Missouri was recorded as 77 degrees F.

We are supposed to find the​ day's high temperature written as degrees Celsius.

Formula : [tex]C=\frac{5}{9}(F-32)[/tex]

Substitute the value of F is 77 degrees

So,[tex]C=\frac{5}{9}(77-32)[/tex]

[tex]C=\frac{5}{9}(45)[/tex]

C=25

Thus, The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

Answer:

15

Step-by-step explanation:

Pythagorean Theorem:

12^2+9^2=x^2

144+81=x^2

x=15

Answer:

15

Step-by-step explanation:

Using the Pythagorean theorem, or knowing that pythagorean triangles are can be scaled up/down, we know that this triangle is similar to the "3 4 5 egyptian triangle" Therefore x would be 15, as the sides are 3x the sides of the 345 triangle. we can prove this with sqrt(81 + 144) = sqrt(225) = 15

Answer:

y = [tex]\frac{3}{5}[/tex]x + 3

Step-by-step explanation:

First, find the slope with rise/run

This gets you 3/5

Then, find the y intercept, which is (0, 3)

The equation will be

y = [tex]\frac{3}{5}[/tex]x + 3

Answer:

Brainleist!!!

Step-by-step explanation:

see picture!

Answer: 72

Step-by-step explanation:

Total Score of 90 nos

90 x 60 = 5400

Total score of 60 nos

60 x 90 = 5400

Average of (90 + 60) = 10800 / 150 = 72

Answer:

72

Step-by-step explanation:

You need to find the average of all the number.  However, you are given two averages that have unequal numbers.  To solve, you need to multiply each average by the amount of number it has in it.

90 × 60 = 5400

60 × 90 = 5400

You need to find the total amount of number as well as the total value of the numbers.

90 + 60 = 150

5400 + 5400 = 10800

Divide the total value by the total amount of number to find the average.

10800/150 = 72

The total average is 72.

Answer:

To plot the table in the cartesian coordinate system, plot years on the x-axis and divorces on the y-axis.

Plot the point (1950, 2.8) on the graph.

Plot the point (1955, 2.4) on the graph.

Plot the point (1960, 2.4) on the graph.

Plot the point (1965, 3.2) on the graph.

Plot the point (1970, 2.2) on the graph.

Plot the point (1975, 2.2) on the graph.

Plot the point (1980, 5.2) on the graph.

Plot the point (1985, 5.6) on the graph.

Plot the point (1990, 4.8) on the graph.

Plot the point (1995, 4.6) on the graph.

Plot the point (2000, 5.6) on the graph.

Join all the points

Answer:

x=3

Step-by-step explanation:

5x+x-2=20

6x=18

x=3

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]5x-2+x=-20\\6x-2=-20[/tex]

Add 2 to both sides

[tex]6x-2+2=-20+2\\6x=18[/tex]

Divide both sides by 6

[tex]x=3[/tex]

Answer:

Solution,

[tex] \frac{4x + 3}{5} = \frac{8x - 1}{9} \\ or \: 9(4x + 3) = 5(8x - 1) \\ or \: 36x + 27 = 40x - 5 \\ or \: 36x - 40x = - 5 - 27 \\ or \: - 4x = - 32 \\ or \: x = \frac{ - 32}{ - 4} \\ x = 8[/tex]

hope this helps...

Good luck on your assignment..

Answer:

x=8

Step-by-step explanation:

(4x+3)/ 5   = (8x-1)/9

We can use cross products to solve

(4x+3) * 9 = 5(8x-1)

Distribute

36x+27 = 40x -5

Subtract 36x

27 = 40x-36x -5

27 = 4x-5

Add 5 to each side

32 = 4x

Divide by 4

32/4 = 4x/4

8=x

x=8

Answer:

The approximate distance between Points a and B is V2 and 3 4

Step-by-step explanation:

I am just making my best guest Have an amazing day

Answer:

'-5'

Step-by-step explanation:

The table is a linear function. This means that all the points have a consistent slope. If two points had a different slope, it would be a nonlinear function.

Slope is rise over run. We are given the points (-3,0) and (-2,-5).

[tex]m=\frac{-5-0}{-2+3}=\frac{-5}{1}=\huge\boxed{-5}[/tex]

Answer:

-5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

0+1+2+3+4+5+6+7=28

28/8=3.5

Answer:

1 and 7

Step-by-step explanation:

21: 1, 3, 7, 21

28: 1, 2, 4, 7, 14, 28

Common: 1, 7

Answer:

b.4

Step-by-step explanation:

*see attachment below for the figure being referred

Answer:

k = 5cm

Step-by-step explanation:

==>Given:

∆CBA ~ ∆CED

Side lengths of ∆CBA:

BC = BE + EC = 4.8 + 6 = 10.8 cm

AB = 9cm

Side lengths of ∆CED:

EC = 6cm

ED = k

==>Required:

Value of k

==>Solution:

Since ∆CBA ~ ∆CED, the ratio of their corresponding besides would be the same, with same proportion.

Thus,

AB/ED = BC/EC

9/k = 10.8/6

Cross multiply to find the value of k

9 × 6 = 10.8 × k

54 = 10.8 × k

Divide both sides by 10.8

54/10.8 = k

5 = k

k = 5cm

Answer:

The answer is "59".

Step-by-step explanation:

Let the sum of the angle value is = 180

The median term is equal to the average of the sum of all terms for a strange arithmetic progression of a strange number of terms:

[tex]\to \frac{180}{3} = 60^{\circ}[/tex]

For all the smallest angle 1 is the minimal level possible as well as 59 is the highest possible, so there is 59 used as the numbers are different.

In this exercise we have to use the knowledge of triangles to calculate the degrees they have, in this way we can find that;

59, positive

Using arithmetic progression and triangle knowledge, we have:

Let the sum of the angle value will be:

[tex]\sum degree=180[/tex]

The median term is equal to the average of the sum of all terms for a strange arithmetic progression of a strange number of terms:

[tex]180/3=60\\60-1=59[/tex]

See more about triangles at brainly.com/question/25813512

Answer:

(B)x > 3 or x<-3

Step-by-step explanation:

In logic, a disjunction is a compound statement that is formed by joining two statements with the connector OR. The disjunction "p or q" is symbolized by [tex]p \lor q[/tex]. A disjunction is true when any of its combined parts ais true

Given:

p: x<-3

q: x > 3

The disjunction of p and q (represented by [tex]p \lor q[/tex]) therefore is:

x > 3 or x<-3

The correct option is B

Answer:

P(AnB') = 1/7

P(A'UB') =5/7

P(B|A)=2/3

Step-by-step explanation:

from the venn diagram A and B shares 1,5

A = {1,4,5} this means sets found in A see the all values in first circle

B = {1,5,8,10,11} this means sets found in B see the all values in second circle

A'={8,10,11,12} this means sets NOT found in A see the all values NOT in first circle

B'={4,12} this means sets NOT found in B see the all values NOT in second circle

AnB={1,5} this means common sets shared by A and B

AuB = {1,4,5,8,10,11} this means sets in A or in B but do not write a number twice, example 1 is in A and B but you write it once.

AnB'={4} this means sets shared by A and B'

A'UB'={4,8,10,11,12} this means sets not in A' or not in B'

n=7 (count all the numbers you see)

I have written all the sets so we now solve for probabilities

P(A) = (numbers in A/All numbers (n) =3/7

P(B) = 5/7

P(AnB) = 2/7

P(AnB') = 1/7

P(A'UB') =5/7

P(B|A)=P(AnB) / P(A) = (2/7) ÷ (3/7) = (2/7)*(7/3) Reciprocal to change divide symbol to times symbol. Seven cancels out and you get 2/3.

Answer:

[tex]\frac{2x-5}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x^2-3x-5}{x^2+6x+5}[/tex] ← factorise numerator/ denominator

= [tex]\frac{(2x-5)(x+1)}{(x+5)(x+1)}[/tex] ← cancel the factor (x + 1) on numerator/ denominator

= [tex]\frac{2x-5}{x+5}[/tex]

Answer:

solution,

A(-3,5)-------->(X1,x2)

B(4,4)---------->(x2,y2)

now,

[tex]midpoint = ( \frac{x1 + x2}{2} \: , \frac{y1 + y2}{2} ) \\ = ( \frac{ - 3 + 4}{2} \: , \frac{ - 5 + 4}{2} ) \\ = ( \frac{1}{2} \: ,\frac{ - 1}{2} )[/tex]

hope this helps...

Good luck on your assignment..

Answer:

(1/2, -1/2)

Step-by-step explanation:

Answer:

Angle of depression from C to T measures approximately [tex]20.52^o[/tex]

Step-by-step explanation:

To start, we use triangle DTA to find the length of the side AT, making use of the tangent function:

[tex]tan(23^o)=\frac{AT}{28\,m} \\AT=tan(23^o)\,* 28\,m\\AT=11.89\,m[/tex]

Now we need to find the size of the rectangular land diagonal:

[tex]diagonal=\sqrt{28^2+15^2}=31.76\,m[/tex]

With this information, we can now find the measure of angle "C" (depression angle from C to T), using the triangle ACT:

[tex]tan(C)=\frac{opposite}{adjacent} \\tan(C)=\frac{11.89}{31.76}\\C=arctan(\frac{11.89}{31.76})\\C=20.52^o[/tex]

Answer:  a) A U B =  {21, 23, 24, 25, 27, 29, 30, 31}

               b) A ∩ C = {24, 30}

Step-by-step explanation:

A = {21, 24, 27, 30}

B = {21, 23, 25, 27, 29, 31}

C = {20, 22, 24, 26, 28, 30, 32}

  I included 20 and 32 even though they are not strictly BETWEEN 20 & 32

A U B means the union of the two sets, which includes everything from both sets.

A U B = {21, 24, 27, 30} U {21, 23, 25, 27, 29, 31}

          = {21, 23, 24, 25, 27, 29, 30, 31}

A ∩ C means the intersection of the sets - only those values that are in both sets.

A ∩ C = {21, 24, 27, 30} ∩  {20, 22, 24, 26, 28, 30, 32}

          = {24, 30}

Answer: C; y=csc(x)+1

Step-by-step explanation: just graphed them on desmos until i got the right one :)

Answer:

f(x) = -2x + 4

g(x) = 3x + 7

First find (f+g)(x)

(f+g)(x) = -2x + 3x + 4 + 7

= x + 11

(f+g)(-7) = -7 + 11

= 4

Hope this helps.

Nothing to see here i did it wrong..

Answer:

i think they are both 33

Step-by-step explanation:

just check for sure