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nordsb [41]
2 years ago
7

PLEASE HELP WITH MATH GRADIENTS I WILL GIVE BRAINLIEST.

Mathematics
2 answers:
Svet_ta [14]2 years ago
7 0

Answer:

12

Step-by-step explanation: So the straight line is given by the equation: y = k * x + by=k∗x+b

Let write line L as: y_1(x) = k_1 * x + b_1y

1

​

(x)=k

1

​

∗x+b

1

​

Line L: 4 * y - 6 * x = 334∗y−6∗x=33

Let write line L in general form: y = \dfrac{33 + 6 * x}{4} = 1.5 * x + 8.25y=

4

33+6∗x

​

=1.5∗x+8.25

From L line's equation: k_1 = 1.5k

1

​

=1.5 , b_1 = 8.25b

1

​

=8.25

Let write line M as: y_2(x) = k_2 * x + b_2y

2

​

(x)=k

2

​

∗x+b

2

​

Perpendicularity condition of two lines is: k_2 = - \dfrac{1}{k_1}k

2

​

=−

k

1

​

1

​

k_2 = -\dfrac{1}{1.5} = -\dfrac{2}{3}k

2

​

=−

1.5

1

​

=−

3

2

​

Substitute the numbers in M line's equation:

M: y_2(x) = -\dfrac{2}{3} * x + b_2M:y

2

​

(x)=−

3

2

​

∗x+b

2

​

Let put in this equation values from point A(x_a = 5, y_a = 6)A(x

a

​

=5,y

a

​

=6)

M: 6 = -\dfrac{2}{3} * 5 + b_2M:6=−

3

2

​

∗5+b

2

​

b_2=6 + \dfrac{2}{3} * 5=\dfrac{28}{3}b

2

​

=6+

3

2

​

∗5=

3

28

​

Substitute b_2b

2

​

 in M line's equation:

M: y_2(x) = -\dfrac{2}{3} * x + \dfrac{28}{3}M:y

2

​

(x)=−

3

2

​

∗x+

3

28

​

Let put in this equation values from point B(x_b = -4, y_b = k)B(x

b

​

=−4,y

b

​

=k)

M: k = -\dfrac{2}{3} * (-4) + \dfrac{28}{3} = \dfrac{8+28}{3}=\dfrac{36}{3}=12M:k=−

3

2

​

∗(−4)+

3

28

​

=

3

8+28

​

=

3

36

​

=12

k = 12k=12

Scrat [10]2 years ago
5 0

Answer: 12

Step-by-step explanation: do not lie to me you better mark me a brainly or going to report you

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jek_recluse [69]

9514 1404 393

Answer:

  1. 2x
  2. 2
  3. 128x +640

Step-by-step explanation:

1.

  \displaystyle\frac{8x^2-4x}{4x-2}=\frac{4x(2x-1)}{2(2x-1)}=\boxed{2x}

__

2.

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3.

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5 0
3 years ago
The ratio of trucks to cars in a parking lot was 5 to 2. How many trucks were in the lot if there where 18 cars?
Elena L [17]
90 trucks- for every 2 cars there are 5 trucks
6 0
3 years ago
What is 3x+4y=16 for x
sergiy2304 [10]
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4 0
3 years ago
The equation to model Exponential Growth is:
abruzzese [7]

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

5 0
2 years ago
A business has two loans totaling $85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business e
butalik [34]

Answer:

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Step-by-step explanation:

If 4.5% loan is x, and the 6% loan is y, then:

x + y = 85000

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Solve the system of equations with substitution or elimination.  Using substitution:

0.045x + 0.06(85000 − x) = 4650

0.045x + 5100 − 0.06x = 4650

450 = 0.015x

x = 30000

y = 55000

5 0
2 years ago
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