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cupoosta [38]
3 years ago
5

Which is an equation in point-slope form for the given point and slope?

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Answer:

y - 4 = 6(x - 7)

The second on is the correct option

Step-by-step explanation:

The equation to get this is: y - y_{1} = m(x - x_{1})

We just fill in: y - 4 = 6(x - 7)

You might be interested in
Whats 2.13×0.197 as a decimal
Tcecarenko [31]

Answer:

It's 0.41961.

8 0
3 years ago
Read 2 more answers
There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W
jenyasd209 [6]

Answer:

Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old.

Step-by-step explanation:

Let k be Kirk's age.

Let b be Brian's age.

Let m be Matt's age.

Let m_{1} be the boss/manager's age.

From the information given, we can set up 4 equations:

k+b+m+m_{1}=106

k=2(m_{1}-10)

b=2m_{1}-12

m=\frac{1}{2}m_{1}+6

Rewrite the first equation, substituting k, b, and m in terms of m_{1} to get:

2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106

Open up the parentheses using the distributive property (which is a(b-c)=ab-ac) and combine like terms to get:

5.5m_{1}-26=106

Add 26 to both sides to reach:

5.5m_{1}=132

Thus, m_{1}=24. Substitute 24 for m_{1} in the second, third, and fourth original equations to find that k=28, b=36, and m=18. Therefore, Kirk is <u>28</u> years old, Brian is <u>36</u> years old, Matt is <u>18</u> years old, and the manager is <u>24</u> years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

8 0
2 years ago
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

7 0
2 years ago
HELP.!!!!
k0ka [10]

Answer:

A . (2x + 9) and (x-4)

Explanation:

Given parameters:

 Given trinomial;

               2x² + x - 36

Possible dimensions of the yard = ?

Solution:

To solve this apply the quadratic factorization;

        2x² + x - 36 = 0

        2x² -8x  + 9x - 36  = 0

        2x(x - 4) + 9(x -4) = 0

      (2x + 9) (x -4) = 0

The possible dimensions of the rectangular yard is (2x + 9)  and (x -4)

 

5 0
3 years ago
Can you help me find the equation of the axis of symmetry for the parabola y=x^2-2x-9?
NNADVOKAT [17]

Answer:1,-10

Step-by-step explanation:

4 0
2 years ago
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