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Pachacha [2.7K]
3 years ago
13

How do I find the coordinate of the midpoint of a segment ... -6--2

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
I'm having the same troubles with this type of geometry sort of.
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A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s
irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

8 0
2 years ago
27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.
ololo11 [35]

The polar equation will be  r=\dfrac{4}{1+cos\theta}

<h3> What is the polar equation?</h3>

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

r =\dfrac{e\times c}{1+ecos\theta}

r =\dfrac{1\times 4}{1+1\times cos\theta}  

 r=\dfrac{4}{1+cos\theta}

 

Therefore the polar equation will be  r=\dfrac{4}{1+cos\theta}

To know more about the polar equation follow

brainly.com/question/9363127

#SPJ1

4 0
2 years ago
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy? A
katovenus [111]

Answer: 14 shirts

A .   s (stands for shirts) <( less then or equal to) 14

B. because it can be exactly 14 shirts or less than 14 shirts depending if oyu want to use all the money

C. 20 would be a solution if you wouldnt have already spent the 80 dollars on other things, since the team did it  would be too much money.

Step-by-step explanation:

300- 80 = 220

220/ 15 = 14.6  round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts

4 0
3 years ago
Solve for x<br> -5x+1=31
Ghella [55]

Answer:

x = -6

Step-by-step explanation:

-5x+1=31

- Subtract 1 from both sides of the equation.

-5x = 30

x = -6

8 0
3 years ago
Read 2 more answers
Нужно срочное подробное решение заданий с подробным обьяснением<br> !!!Дам 20 очков!!!
Sergeeva-Olga [200]

Answer:whaaaat?

Step-by-step explanation:

5 0
3 years ago
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