Answer:
Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.
Step-by-step explanation:
so, if f (x) equals 13, you replace the x in the equation to 13.
f(x)=-2x+5
f(x)=-2(13)+5
f(x)=26+5
f(x)=31
I believe 41 would be your answer. Hope this is right and it helped!
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)
Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.
=>√5 units, √2 units
c² = (√5)² + (√2)²
c² = 5 + 2 = 7
c = √7
The hypothenuse length that matches √5 units, √2 units is √7
=>√3 units, 4 units
c² = (√3)² + (4)²
c² = 3 + 16 = 19
c = √19
This given pair of legs doesn't match any given hypotenuse length
=>2 units, √5 units
c² = (2)² + (√5)²
c² = 4 + 5 = 9
c = √9 = 3
legs 2 units, and √5 units matche hypotenuse length of 3
=>2 units, 2 units
c² = 2² + 2² = 4 + 4
c² = 8
c = √8
Legs 2 units, and 2 units matche hypotenuse length of √8
=> 1 unit, 2 units
c² = 1² + 2² = 1 + 4
c² = 5
c = √5
Leg lengths, 1 unit and 2 units match the hypotenuse length, √5
If order doesn't matter then the number of possible choices is:
