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Ne4ueva [31]
2 years ago
7

Explain how you can locate the vertex, V, of the parabola with the given focus and directrix. Write the coordinates of the verte

x.
(Go to my other questions for info)
Mathematics
2 answers:
adelina 88 [10]2 years ago
8 0

Answer:

(6,1) I’m pretty sure because it is the midpoint between the focus and directrix.

Step-by-step explanation:

deff fn [24]2 years ago
3 0
No thanks do u k how tired i am to look for more info its sooo boring like u could have written it no big deal
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Which name does not apply to the figure? A. quadrilateral B. square C. parallelogram D. rhombus
aivan3 [116]
The answer is B. 
-Corey

8 0
3 years ago
Read 2 more answers
Figure this out please Asap.
weeeeeb [17]

If the polygons are similar then the sides are in proportion.

\dfrac{32}{24}=\dfrac{32:8}{24:8}=\dfrac{4}{3}

Therefore we have the equations:

\dfrac{x-1}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}


\dfrac{y+1}{21}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}

6 0
3 years ago
A student has a savings account with d dollars in it. The student plans to withdraw w dollars each month for
Amiraneli [1.4K]

Answer:

b = d -wn

Step-by-step explanation:

b = d -wn

Here, n is an independent variable and b is an dependent variable in an linear relation, and d and w are two constant values.

Hope it will find you well.

8 0
3 years ago
SHOW WORK NOT JUST ANWSER PLS
Fed [463]

when i use "pi," im talking about the greek letter which you might have to write as π, or use in a calculator when entering an answer

all of the answers are underlined after each explanation :)

Question 1:

Area:

The picture shown splits the image into 2 half circles and two triangles. When finding the area, you can look at the two halves as one whole. The area of a circle is calculated by putting the radius to the power of two and multiplying by pi. The picture gives you the diameter, which is 5 feet. The diameter of a circle is twice the radius, so divide 5 by 2, square that number, and multiply by pi to find the area of one whole circle:

  • (5/2)^2*pi
  • 2.5^2*pi
  • 2.5*2.5*pi
  • 6.25*pi

Now we need to find the area of the two triangles. Like the circles, these two triangles make up one whole triangle. The base of the triangle is given: 6 feet. The height of this triangle is also given as 4 feet. The formula for the area of a triangle is base*height/2, so multiply 4 by 6 and divide by 2:

  • 4*6/2
  • 24/2
  • 12

These shapes add up to make the entire figure, so the area will be

<u>12+6.25pi</u>

Perimeter:

To find the perimeter, we need to look at the problem similarly. The perimeter can be thought of as the length around a figure. The formula for the perimeter of a circle, called the circumference, is diameter*pi, so multiply the diameter, 5, by pi to find the distance around the rounded parts of the figure

  • 5*pi

After finding the length around the rounded part, we need the length of the straight part, which is given to us as 6 feet. To find the total perimeter, add up the distances around each part:

<u>6+5pi</u>

Question 2:

Area:

For this question, we need to use the same base*height/2 formula to find the area of the small triangle. At first glance, the base is not obvious. Look on the right side of the rectangle. Notice how it lines up with the right side of the triangle? This side is the base, and it is given as 6 meters. The height is given as 4 meters. Usually you would think of height as how tall something is, but in triangles, a height is a line that will form a 90 degree angle with a base. Multiply 6 and 4, then divide by 2:

  • 6*4/2
  • 24/2
  • 12

Now we need find the area of the rectangle next to the small triangle. The formula for the area of a rectangle is length*width. The length and the width are given as 10 and 6, so multiply 10 and 6:

  • 10*6
  • 60

Finally, add the areas of the triangle and the rectangle:

60+12=<u>72</u>

<u />

Perimeter:

Add up the lengths around the figure- they are already given:

5+5+10+10+6=<u>36</u>

<u />

Question 3:

Area:

This figure is made up of two shapes: A square, and a semicircle, or half circle. Since it is half of a circle, we need to calculate the area of a circle, and divide by two. The problem gives us a diameter of 6, which we know we must divide by two because a diameter is twice the size of the radius, and the formula is radius^2*pi. Divide 6 by 2:

  • 6/2
  • 3

Plug three into the area formula:

  • 3^2*pi
  • 9*pi

Divide by two because it is a half circle and has half the area:

  • 9*pi/2
  • 4.5*pi

Multiply the length and width of the square to find its area:

  • 2*2
  • 4

Now add the areas of the two parts together:

<u>4+4.5pi</u>

<u />

Perimeter:

For the perimeter of the rounded part, use the diameter*pi formula and also divide by 2 because it is a semicircle:

  • 6*pi/2
  • 3*pi

The semicircle also has a bottom that is part of the perimeter and it is 6 millimeters. Add that to 3*pi:

  • 3*pi+6

In a square, all sides are equal, so since one side is 2 millimeters, all four sides are 2 millimeters. Multiply 2 by 4:

  • 2*4
  • 8

Add these perimeters together:

  • 8+3*pi+6
  • 14+3*pi

We're almost done now. Notice how one side of the square is hidden and 2 millimeters of the bottom of the semicircle are hidden? This means that we need to subtract 4 before getting a final answer:

14+3*pi-4=<u>10*3pi</u>

<u />

please let me know if anything is incorrect or hard to understand, hope this helps!!

6 0
2 years ago
216 divided by 31
Aleksandr-060686 [28]

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

             

 3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

 3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

       0    

 3 1 ⟌ 2 1 6

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (1) like this:

       0    

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1  

Step 9:

Move down the last digit of the dividend (6) like this:

       0 0  

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

       1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

       0 0 6

 3 1 ⟌ 2 1 6

     - 0    

       2 1  

     -   0  

       2 1 6

     - 1 8 6

         3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

8 0
2 years ago
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