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makvit [3.9K]
3 years ago
13

What is the solution to the system of equations below? 2 x + 3 y = 17. 3 x + 6 y = 30. (Negative 7, 24) (3, 4) (4, 3) (24, Negat

ive 7)
PLEASE HELP 98 POINTS
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0
( x , y ) = ( 4 , 3 )
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What is an equation of the line that passes through the point ( − 3 , − 1 ) and is perpendicular to the line x − 2 y =6
Tems11 [23]

Answer: y = -2x - 7

Step-by-step explanation:

The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.

Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).

x - 2y = 6

- 2y = 6 - x

y = (1/2) x -3

The slope is (1/2), so a perpendicular line will have a slope of -2.

y = -2x + b

We can find b by using the given point ((-3,-1), a known solution):

-1 = -2*(-3) + b

-1 = 6 + b

b = -7

The perpendicular equation is y = -2x - 7

y = -2x

5 0
3 years ago
In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population
KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

P(A) = 87e^{0.035t}

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

P(B) = 243e^{0.006t} where t = time in years and P in millions

a) P(A) = 2*87 when

2=e^{0.035t}

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42

Approximately after 35.5 years the populations of both countries would be equal.

7 0
3 years ago
Read 2 more answers
Plz answer immediately
makkiz [27]

1 2/3 because 3 * 5/3 = 5 and 1 2/3 = 5/3

6 0
3 years ago
Each visitor at Eacky World Water Park gets a free towel to use at the park. At the entrance workers arrange tje towels in stack
arsen [322]
37 and 29 won't work because these numbers are prime numbers, which can't be divided equally. This problem is basically saying which one of these are prime numbers.
8 0
3 years ago
Refer to the number line. Find the coordinate of point D that is 7/16 M to J. of the distance from M to J.​
Usimov [2.4K]

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:

If point D(x, y) is 7/16 M to J, then:

x = (7/16)(4 - 20) + 20 = 13

y = (7/16)(17 - 1) + 1 = 8

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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