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FinnZ [79.3K]
3 years ago
12

At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​

Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

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Trigonometry please help
kotykmax [81]

Answer:

7.5

Step-by-step explanation:

x = 10 \tan \: 37 \degree \\  \\  \therefore \: x = 7.535540501 \\  \\ \therefore \: x  \approx 7.5

3 0
3 years ago
Read 2 more answers
HELP ME PLEASE!!! I DON'T UNDERSTAND!
Rama09 [41]

Answer: 12

Step-by-step explanation:

this is a right angled triangle so you use the pythagorean theory

which is a^2 + b^2 = c^2

you have c and b already. c is the hypotenuse.

a^2 + 16^2 = 20^2

a^2 + 256 = 400

a^2 = 400 - 256

a^2 = 144

then you square root 144 and get..

a = 12

3 0
3 years ago
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Is the product of two imaginary numbers always imaginary?
Diano4ka-milaya [45]
No. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12
3 0
3 years ago
Find the equation of the line whose slope is -3 and which passes through the point (-5, 3)
nadezda [96]

Answer:

y=-3x-12

Step-by-step explanation:

Plug into equation y=mx+b

3=(-3)-5+b

Simplify

3=15+b

Subtract 15 from both sides

-12=b

Add slope and y-intercept into base equation

y=-3x-12

4 0
3 years ago
soymeal is 14 percent protein cornmeal is 7 percent protein how many pounds of each should be mixed together in order to get 280
erma4kov [3.2K]
Let the weight of soymeal be s, and let the weight of cornmeal be c.
You need a total of 280 lb, so that gives us one equation.

s + c = 280

Now we use the protein to write another equation.
The protein in s lb of soymeal is 0.14s.
The protein in c lb of cornmeal is 0.07c.
The protein in 280 lb of 0.09% protein mix is 0.09(280).
This gives us a second equation.

0.14s + 0.07c = 0.09(280)

Now we solve the two equations as a system of equations.

s + c = 280
0.14s + 0.07c = 0.09(280)

Solve the first equation for s and plug in tot eh second equation.

s = 280 - c

0.14(280 - c) + 0.07c = 25.2

39.2 - 0.14c + 0.07c = 25.2

-0.07c = -14

c = 200

Now we substitute c = 200 in the first equation to find s.

s + 200 = 280

s = 80

Answer: 200 lb of soymeal and 80 lb of cornmeal
6 0
3 years ago
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