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pishuonlain [190]
3 years ago
8

−7y−4x=1 ​7y−2x=53 Solve the system of equations​​

Mathematics
1 answer:
Reptile [31]3 years ago
3 0
-7y-4x=17y-2x=53
-4x=24y-2x=53
-2x=24y=53
24y+2x=53

You would have to solve one at a time.
y=53/24 
y=2.21
x=53/2
x=26.5
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The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length
BartSMP [9]

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

5 0
3 years ago
A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path
katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0
2 years ago
Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
SSSSS [86.1K]

Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

f(g(9)) = 945/16

7 0
3 years ago
If 1 inch is 500 miles, then 4 inches is how many miles?
tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

1 inch=500 miles

This can be rewritten as:

\frac{500 miles}{1inch}

This is representative of a unit rate, as we have a 1 in the denominator. To calculate the number of miles in 4 inches, simply multiply the unit rate by 4:

\frac{500 miles}{1inch}*4=

\frac{2000 miles}{4 inches}

This can rewritten as:

4inches=2000miles

Therefore, there are 2,000 miles in 4 inches.

-

We can check our solution by simplifying the fraction \frac{2000 miles}{4 inches} by dividing both 2000 and 4 by 4 to see if we achieve the unit rate:

\frac{500 miles}{1 inch}

Since this is in fact the unit rate, our solution is correct!

6 0
2 years ago
Read 2 more answers
Marking Brainlist 7-9g+3g
coldgirl [10]

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

5 0
3 years ago
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