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castortr0y [4]
3 years ago
14

10x + 4y = 24 6x +12y = 48 What is the value of y? * A. 7 B. 7/2 C. 1 D. -7/2​

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

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You can use the regrouping
6 0
3 years ago
Upon descent, an airplane is 20,000 feet above the ground. The air traffic control tower is 200 feet tall. It is determined that
PIT_PIT [208]

Answer:

Base length of plane from control tower = 73,880 feet (Approx.)

Step-by-step explanation:

Given:

Height of plane from ground = 20,000 feet

Height of control tower = 200 feet

Angle of elevation from control tower = 15°

Find:

Base length of plane from control tower

Computation:

Height of plane from control tower = 20,000 - 200

Height of plane from control tower = 19,800 feet

Tan θ = Perpendicular / Base

Tan15 = 19,800 / Base length of plane from control tower

0.268 = 19,800 / Base length of plane from control tower

Base length of plane from control tower = 73,880 feet (Approx.)

6 0
3 years ago
How many times does the equation f(x)=2x^2+9x-5 intersect the x-axis
Komok [63]

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero

0=2x^2+9x-5

Factor the equation

0 = (2x+1) (x-5)

2*1

1*-5 = -5

2*-5 +1*1 = -9

This checks for the first last and middle terms so we factored correctly

Then using the zero product property

2x+1 = 0 and x-5 =0

2x = -1    x=5

x = -1/2  and x=5

This function crosses the x axis 2 times

8 0
3 years ago
Write an algebraic expression for the phrase five less than the product of six and N
GenaCL600 [577]

Answer:

6N - 5

Step-by-step explanation:

five less than the product of six and N: <em>6N</em>

five less than the product of six and N: <em>6N </em><em>- 5</em>

Answer: 6N - 5

6 0
3 years ago
Five x plus seven is greater than or equal to 2
Paul [167]
I believe equal to two because 5x+7 do 5X to both sides 7÷5 is 1.4
3 0
3 years ago
Read 2 more answers
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