what is an equation of the line that passes through the points (-6, -2) and (-3,2)​

Answer:

Step-by-step explanation:

1. I can't see the first one very well.

2. Find the area of each triangle by doing 1/2 * base * height. This should give you [tex]40m^{2}[/tex]

3. The area of a trapezium is [tex]\frac{1}{2} (a+b)h[/tex] where a is the top edge, b is the bottom edge and h is the height.

We can work out the bottom edge using pythagoras - split the trapezium into 2 triangles on each side and a rectangle in the middle. This gives you the length of the bottom edge which is 2 + 2 + 2 = 6'

Work out the area by doing 1/2(2+6)4 = 16' squared.

4.Split this shape into a triangle and rectangle. We know the right hand edge of the triangle= 9-4 = 5'.

To find the bottom edge of the triangle, use tanθ=opposite/adjacent line. Therefore tan45=bottom edge of triangle/5'. tan 45=1 therefore bottom edge = 5'.

The bottom edge of triangle gives us the height; use 1/2(a+b)h to work out the area of the trapezium. 1/2(4+9)5 = 32.5' squared

Answer: your so bad

Step-by-step explanation:

hahahaahahahahahhahahahahahahaha

Answer:

A. Yes

B. yes

C. Yes

D. No

E. Yes

Step-by-step explanation:

Good luck!

Answer:

50

Step-by-step explanation:

Use this equation

[tex] \frac{b - a}{2} = angle \: yuv[/tex]

where b is arc VY, A is arc XV.

Substitute the equation in

[tex] \frac{132 - a}{2} = 41[/tex]

[tex]132 - a = 82[/tex]

[tex] - a = - 50[/tex]

[tex]a = 50[/tex]

so our arc measure is 50

After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question is,

Assume the cost of parasailing is x and the cost of surfing is y.

x + y = 175

Total number of people in Parasailing = 16 people

Total number of people in Surfing = 20 people

Total collection done by resort = $3,101

16x + 20y = 3,101

So, the equations will be,

16x+20y=3,101            (i)

x + y = 175                  (ii)

Now, multiply the equation (ii) by 16 and solve the equation,

16x+20y=3,101

16x+16y= 2,800

4y = 301

Now, find the value of y,

y = 301/4

y = 75.25

Then, the value of x will be equal to,

x + y = 175

x+75.25 =175

Solve for x:

x=175-72.25

x = 99.75

To know more about expression:

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#SPJ2

It seems that your question is not complete, the complete question should be:

A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?

Answer:

B

Step-by-step explanation:

I learned this a while ago, if you have the < symbol then you shade below the dotted line. You can get the rest.

Answer:

69.39  kilometers

Step-by-step explanation:

total kilometres driven on each trip = total kilometres driven on all trips / total number of visits

6,870.1 / 99 = 69.394949

To the nearest hundredth means we are rounding off the third number after the decimal point. The second number after the decimal is the hundredth. The third number is less than 4, so zero would be added to the preceding number

69.39 kilometers

Answer:

nljgdetbeybrybdtbrbrtbetbrynrynenehtnehymyrumeymryjmryj ryu

Answer:

A,D,F

Step-by-step explanation:

Answer:

7^x•7^x, (7•7)^x, 7^2x

Step-by-step explanation:

Just took it, the other one is wrong

Answer:

Answer: x= -[tex]\frac{7-i\sqrt{131} }{2}[/tex],-[tex]\frac{7+i\sqrt{131} }{2}[/tex]

Step-by-step explanation:

Solve the equation by finding x, a, b, and c of the quadratic, then apply the quadratic formula.

Answer:

4 avocados

Step-by-step explanation:

$3.74/$0.89 = 4.2, but you can't have 4.2 avocados so you round down to 4

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 62

8x = 72

x = 9

Answer:

1.081081081

hope this helped

Answer:

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Step-by-step explanation:

P.S - The exact question is -

Given - A shipment of 12 television sets contains 3 defective  sets.

To find - In how many ways can a hotel purchase  5 of these sets and receive at least 2 of the defective  sets?

Proof -

We know that The combination of n distinct objects taken k at a time is

[tex]^{n} C_{k} = \frac{n!}{k! (n-k)!}[/tex]

Now,

The number of ways hotel can receive 2 defective sets among 5 that can be purchased is

[tex]^{9} C_{3} * ^{3}C_{2} = \frac{9!}{3! (9-3)!} \frac{3!}{2! (3-2)!}[/tex]

⇒[tex]^{9} C_{3} * ^{3}C_{2}[/tex] = 84(3) = 252

Now,

The number of ways that hotel receives 3 defective sets among 5 that are purchased is

[tex]^{9} C_{2} * ^{3}C_{3} = \frac{9!}{2! (9-2)!} \frac{3!}{3! (3-3)!}[/tex]

⇒[tex]^{9} C_{2} * ^{3}C_{3}[/tex] = 36(1) = 36

Now,

Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288

⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288

Answer:

sorry but there's nothing to be solve the the only thing that I know can be done is expansion expanding the equation

Step-by-step explanation:

Answer:

A & E

Step-by-step explanation:

Step-by-step explanation:

x+50 = 180 because asim circle

x =180-130

x=150

Answer:

The true properties of segment MN are;

1) MN is parallel to CB

2) MN = 2

Step-by-step explanation:

From the figure, we have;

The length of segment AN = 1

The length of segment NC = 2 = 2 × The length of segment AN

The length of segment AM = 1.8

The length of segment MB = 3.6 = 2 × The length of segment AM

The length of segment AC = 1 + 2 = 3

The length of segment AB = 1.8 + 3.6 = 5.4

Therefore, the length of transversal segments AC and AB are proportionally cut by the two lines, MN and CB

By the triangle proportionality theorem, two transversals are proportionally divided when they are crossed by two or more parallel lines

1) Therefore, lines MN and CB are parallel lines

Whereby we have that MN CB, we get;

ΔAMN ~ ΔABC

Therefore;

AN/AC = MN/CB

Plugging in the values, we get;

1/3 = MN/6

NM = 6 × 1/3 = 2

2) MN = 2

The length of segment CB = 6

Therefore, what must about segment MN are;

MN is parallel to CB and MN = 2.

By applying properties of similar triangles we got that MN is equal to 2 units.

Triangles whose shape are same are known as similar triangle .

In the given figure we can see that

in triangle  ABC and AMN

AN=1  

NC=2

So AC= AN+NC=1+2=3

AM=1.8

MB=3.6

So AB=AM+MB=5.4

[tex]\frac{AN}{NC}=\frac{1}{3} \\\\[/tex]

and

[tex]\frac{AM}{AB} =\frac{1.8}{5.4}=\frac{1}{3}[/tex]

And angle A is common in both triangles

Hence by SAS property  triangle  ABC and AMN are similar .

So

[tex]\frac{MN}{CB}=\frac{1}{3} \\\\\\\\\frac{MN}{6}=\frac{1}{3} \\\\\\\\MN=2[/tex]

By applying properties of similar triangles we got that MN is equal to 2 units.

To learn more about similar triangles visit:https://brainly.com/question/2644832

Answer:

area = 100.5 in²

Step-by-step explanation:

area = 13.4 x 7.5 = 100.5 in²

Answer:

4(x+ 1.75)

Step-by-step explanation:

Answer: 4

i wish that helped

0.45 or %45 is left of the circular cake.

Hope this helps; have a great day!

Answer:

i think its 274,182,025 cubic feet

Step-by-step explanation:

.

Answer:

o         Identify some basic parts of a circle, such as the radius and diameter

o         Calculate the circumference of a circle

o         Calculate the area of a circle

In this article, we will consider a geometric figure that does not involve line segments, but is instead curved: the circle. We will apply what we know about algebra to the study of circles and thereby determine some of the properties of these figures.

Introduction to Circles

Imagine a point P having a specific location; next, imagine all the possible points that are some fixed distance r from point P. A few of these points are illustrated below. If we were to draw all of the (infinite number of) points that are a distance r from P, we would end up with a circle, which is shown below as a solid line.

Thus, a circle is simply the set of all points equidistant (that is, all the same distance) from a center point (P in the example above). The distance r from the center of the circle to the circle itself is called the radius; twice the radius (2r) is called the diameter. The radius and diameter are illustrated below.

The Circumference of a Circle

As with triangles and rectangles, we can attempt to derive formulas for the area and "perimeter" of a circle. Unlike triangles, rectangles, and other such figures, the distance around the outside of the circle is called the circumference rather than the perimeter-the concept, however, is essentially the same. Calculating the circumference of a circle is not as easy as calculating the perimeter of a rectangle or triangle, however. Given an object in real life having the shape of a circle, one approach might be to wrap a string exactly once around the object and then straighten the string and measure its length. Such a process is illustrated below.

Obviously, as we increase the diameter (or radius) of a circle, the circle gets bigger, and hence, the circumference of the circle also gets bigger. We are led to think that there is therefore some relationship between the circumference and the diameter. As it turns out, if we measure the circumference and the diameter of any circle, we always find that the circumference is slightly more than three times the diameter. The two example circles below illustrate this point, where D is the diameter and C the circumference of each circle.

Again, in each case, the circumference is slightly more than three times the diameter of the circle. If we divide the circumference of any circle by its diameter, we end up with a constant number. This constant, which we label with the Greek symbol π (pi), is approximately 3.141593. The exact value of π is unknown, and it is suspected that pi is an irrational number (a non-repeating decimal, which therefore cannot be expressed as a fraction with an integer numerator and integer denominator). Let's write out the relationship mentioned above: the quotient of the circumference (C) divided by the diameter (D) is the constant number π.

We can derive an expression for the circumference in terms of the diameter by multiplying both sides of the expression above by D, thereby isolating C.

Because the diameter is twice the radius (in other words, D = 2r), we can substitute 2r for D in the above expression.

Thus, we can calculate the circumference of a circle if we know the circle's radius (or, consequently, its diameter). For most calculations that require a decimal answer, estimating π as 3.14 is often sufficient. For instance, if a circle has a radius of 3 meters, then its circumference C is the following.

The answer above is exact (even though it is written in terms of the symbol π). If we need an approximate numerical answer, we can estimate π as 3.14. Then,

Interested in learning more? Why not take an online class in Pre-Algebra?

The symbol ≈ simply means "approximately equal to."

Practice Problem: A circle has a radius of 15 inches. What is its circumference?

Solution: Let's start by drawing a diagram of the situation. This approach can be very helpful, especially in situations involving circles, where the radius and diameter can easily be confused.

Step-by-step explanation:

Answer:

56cm

Step-by-step explanation:

The radius is half the diameter so times the radius by two to find the width of the diameter. 28 x 2 = 56cm

Answer:

=x+2

Step-by-step explanation:

Answer:

g(f(x)) = x² - 3x + 4

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(x² - 3x + 2)

= x² - 3x + 2 + 2

= x² - 3x + 4

Given:

Length of the rectangle = [tex]x+4[/tex]

Width of the rectangle = [tex]x[/tex]

The perimeter of the rectangle is less than 140.

To find:

The inequality for the given situation and solve it.

Solution:

We have,

[tex]l=x+4[/tex]

[tex]w=x[/tex]

We know that, the perimeter of a rectangle is

[tex]P=2(l+w)[/tex]

[tex]P=2(x+4+x)[/tex]

[tex]P=2(2x+4)[/tex]

[tex]P=4x+8[/tex]

It is given that the perimeter of the rectangle is less than 140.

[tex]P<140[/tex]

[tex]4x+8<140[/tex]

[tex]4x<140-8[/tex]

[tex]4x<132[/tex]

Divide both sides by 4.

[tex]x<\dfrac{132}{4}[/tex]

[tex]x<33[/tex]

Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is [tex]x<33[/tex].

Answer:

781250

Step-by-step explanation:

We first need to find the common ratio

-10 /2 = -5

50 / -10 = -5

The common ratio is -5

an = a (r) ^ (n-1)

a9 = 2 ( -5) ^(9-1)

     = 2 (-5)^8

      =781250

Answer:

After about 9 minutes.

Step-by-step explanation:

We can write an exponential function to model the decay of Herodium-100.

We are given that it decreases by half every minute.

The standard exponential function is given by:

[tex]f(m)=A(r)^m[/tex]

Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).

Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.

And since it decreases by half every minute, r = 1/2. Thus:

[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]

Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:

[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]

Solve for m. Divide both sides by 2000:

[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]

By logarithm properties:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]

Therefore:

[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]

Mathman will have to rest and replenish after 9 minutes.

Answer:

b

Step-by-step explanation: