Calculus - need work shown

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

Angle 5 = 135

This is because corresponding angles are equal

Angle 6 = 180 - 135 = 45

This is because Angle 6 is on the same line as Angle 5, so you just need to subtract 135 from 180.

Angle 2 = 135

This is because opposite angles are equal

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

The chronological organization allows us to organize the events sequentially according to the date of their occurrence.

The image shows several tables that refer to historical events around the world that we must organize chronologically.

To organize the events chronologically we must know the date on which they occurred, for this we must search for complementary information and establish the date of each one of them, especially the year.

Later, we can organize them and we have two alternatives, from the most recent to the oldest or from the oldest to the most recent. In this case we are going to organize them from the most recent to the oldest, so they would look like this:

Note: This question is incomplete because the image is missing. Here is the image.

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Answer:

1 and 1/5 is the answer to this problem

Answer:

f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0

Step-by-step explanation:

Answer:

The inequality is

10+7x\leq 4010+7x≤40

Step-by-step explanation:

Let

x-----> the number of child tickets

we know that

10+7x\leq 4010+7x≤40 -----> inequality that represent the situation

Solve for x

7x\leq 40-107x≤40−10

7x\leq 307x≤30

x\leq 4.3x≤4.3

The maximum number of child tickets is 4

y=mx+c

I picked the points (0, -4) and (-2,-10) to find the gradient of the line

M= rise/run

= 6/2

=3

Y-intercept is at - 4

Y= 3x - 4 is equation of the line given

Reciprocal of 3 is 1/3

(m1 x m2 = - 1)

So, to make - 1, our second gradient should be negative.

Gradient of the perpendicular line will be - 1/3

Y= - 1/3x + c

Substitute value of x & y into the equation

(-6,6) means x = - 6, y = 6

y = - 1/3x +c

6 = - 1/3 x - 6 + c

6 = 2 + c

-2

4 = c

Thus, final equation we're after will be:

y= - 1/3x + 4

Hope this helps!

The expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The M is the midpoint of line segment AB. Thus, it divides the AB in two equal parts.

[tex]AB=MA+MB[/tex]

O is any point on the line segment AB. An expression for OM in terms of OA and OB has to be found out.

The length of OM is the difference of OA and OB as shown in the figure attached below.

[tex]OM=OA-OB[/tex]

Thus, the expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.

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Answer:

Step-by-step explanation:

Answer:

28

Step-by-step explanation: add all sides together

Answer:

See below

Step-by-step explanation:

Radius is the straight lne  distance from the center of the circle to any point on the circle.

Answer:

The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!

Step-by-step explanation:

Answer:

The x-coordinate always comes first

Using the area of a rectangle, it is found that 35 bags are needed to cover the rectangular lawn.

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw

In this problem, we have that the measures in feet are l = 360, w = 190, hence the area in square feet is given by:

A = 360 x 190 = 68,400.

The number of bags is then given by:

68,400/2,000 = 34.2

Rounding up, 35 bags are needed to cover the rectangular lawn.

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Step-by-step explanation:

well , adding the total cost we have $75.97 which is approximately $76 , getting 8% of that will be 76 × 8/100 , which is $6 , negate it from 76$ that gives is $70 spent and remember that initially he had 100 :. 100-70 which is $30 remaining

The sample space that represents all possible buses and boats combinations is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem, for each the bus and the boat, there are 3 outcomes, hence the cardinality of the sample space is given by:

3 x 3 = 9.

Considering that one letter from D, E and F, and one number for 1, 2 and 3 are chosen, the sample space is given by:

{(D,1), (D,2), (D,3), (E,1), (E,2), (E,3), (F,1), (F,2), (F,3)}.

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Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

2x +7

Step-by-step explanation:

combine both x for instance 4x -2x =2× than add other numbers3+4=7

An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.

Given the total number of pages of the shorter book and the longer book is  557. Therefore, the equation can be written as,

x+y =557

Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,

(3/5)x + (5/6)y = 407

Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

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Step-by-step explanation:

[tex] = (s - 6) + (8s + 4)[/tex]

[tex] = s - 6 + 8s + 4[/tex]

Combine the like terms..

[tex] = s + 8s - 6 + 4[/tex]

[tex] = \boxed{\sf{9s - 2}}[/tex]

hence the answer is 9s - 2 .....

hope it helped !!!

Answer:

If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.


6 x 5 = 30ft2
30 ÷ 2 = 15ft2


Therefore the new area of the triangle would be 15ft2.

Step-by-step explanation:

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Answer:

The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"

Answer:

r ≈ 4

Step-by-step explanation:

circle = 360 degrees

360 / 90 = 4

let's call the area of triangle XYZ + the shaded area portion A

because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area

total area of circle = πr²

XY = YZ = radius

thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)

thus, area of triangle XYZ = r*r/2 = r²/2

area A = r²/2 + 4.64

4 * A = total area of circle

4(r²/2+4.64) = πr²

2r²+18.56 = πr²

subtract 2r² from both sides to put all the variables on one side

(π-2)r² = 18.56

divide both sides by (π-2) to isolate r²

18.56/(π-2) = r² ≈ 16.258

r ≈ 4.032 ≈ 4

Answer:

either 1/3 chance or 1/6 chance

Step-by-step explanation:

not exactly sure...

Answer:

shook

Step-by-step explanation:

The x-coordinate of each point where the graphs of y = f(x) and y = g(x) intersect corresponds to a solution of the equation. To check the solutions, first substitute x = 0 and then substitute x = 2 into the equation and verify the statement is true when x equals each of those values.

The probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.57

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.46

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.33

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= 0.57 + 0.33 - 0.46

= 0.44

Thus, the probability that the Yankees would score fewer than 5 runs when they lose the game is 0.44.

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Step-by-step explanation:

that is quite a lot of failing TVs.

if 5% are failing, this means you have a "chance" of 5/100 = 1/20 that your TV is among them.

that means the expected costs for replacement in the next 3 years are

1750 × 1/20 = 175/2 = $87.50

minus the $200 replacement plan the expected value is of course negative :

87.5 - 200 = -$112.50

and if your TV breaks after more than 3 years, the expected value is actually -1750 - 200 = -$1,950

which is the principle of replacement plans, and why I never buy one.

but sure, for the 5% with broken TVs this pays off big time (it is kind of a lottery).