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Alborosie
3 years ago
13

What are the coordinates of the vertex if the focus is at (5, 1) and the directrix is at y = -5?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

Answer:

x = 5. I dont know if this is what your looking for but good luck.

Step-by-step explanation:

I got this question too and x = 5 was correct

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Subtract the sum of 13 and 6 from 40. *
Helen [10]

Answer:

40-19 = 21

Step-by-step explanation:

I think this is correct dear

6 0
3 years ago
Read 2 more answers
The ratio of blue crayons to red crayons in a classroom is 32:28. The classroom has 16 blue crayons.
AnnyKZ [126]
32/28=16/x
32x= 448
x=14
There are 14 red crayons in classroom
5 0
2 years ago
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The interior angle of a regular polygon is five times its corresponding exterior angle. Find the
tiny-mole [99]

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

6 0
3 years ago
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meters each to tie some presents. He then used t
dexar [7]

Answer: 8.4; 14.

Step-by-step explanation:

To find how much ribbon we used to tie presents, we need to multiply 9 and 0.4.

9 x 0.4 = 3.6.

Diego used 3.6 meters of yard to tie some presents. We can subtract that from 12 to find how much ribbon we have left.

12 - 3.6 = 8.4.

We have 8.4 meters of ribbon to make wreaths.

Now we have to find how many wreaths we can make wiht 8.4 meters of ribbon. We know that each wreath needs 0.6, so we should divide 8.4 by 0.6 to find how many wreaths we can make.

8.4 ÷ 0.6 = 14.

Therefore, we can make 14 wreaths with the 8.4 meters of leftover ribbon.

(Part A's answer is 8.4, and Part B's answer is 14)

4 0
3 years ago
Read 2 more answers
Algebra 1 question 4.
Brrunno [24]

Greetings!

To start this problem, let's first assign a variable for the missing, consecutive odd numbers. Since they are consecutive and odd, we add two.

<u>Proof:</u> <em>3-1=2, 5-3=2</em>

The first, consecutive, odd number: x

The second, consecutive, odd number: x+2

The third, consecutive, odd number: x+4

The fourth, consecutive, odd number: x+6

The sum of the values are equal to 3 times the sum of the first two numbers, of which this is equal to 35 less than the fourth number. Let's create an equation to simplify this:

3((x)+(x+2))=(x+6)-35

Complete the operations inside the parenthesis:

3(2x+2)=(x+6)-35

Distribute the parenthesis (utilizing the distributive property)

(((2x)(3))+((2)(3)))=(x+6)-35

(6x+6)=(x+6)-35

Simplify both sides:

6x+6=x-29

Add -6 and -x to both sides of the equation:

(6x+6)+(-6)+(-x)=(x-29)+(-6)+(-x)

5x=-35

Divide both sides of the equation by 5:

\frac{5x}{5}=\frac{-35}{5}

x=-7

If x is equal to -7:

x+2=-5

x+4=-3

x+6=-1

The four numbers are:

\boxed{-7,-5,-3,-1}

I hope this helps!

-Benjamin

4 0
3 years ago
Read 2 more answers
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