Answer:
2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6
Step-by-step explanation:
Solve the following using Substitution method
2x – 5y = -13
3x + 4y = 15
- To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
- Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.
- Add 5y to both sides of the equation.
- Multiply
times 5y - 13.
- Substitute
for x in the other equation, 3x + 4y = 15.
- Multiply 3 times .
- Add
to 4y.
- Add
to both sides of the equation.
- Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.
- Substitute 3 for y in
. Because the resulting equation contains only one variable, you can solve for x directly.
- Add
to 
by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.
- The system is now solved. The value of x & y will be 1 & 3 respectively.
For this problem all you have to do is plug in the value that they is in parenthesis for x. If it says g (x) = x and then it asks g(5) = ?, it is saying what happens if i put 5 in for every x. in this case it would be g (5) = 5. I just replaced x with 5.
So g (-2) we sub -2 for x
g (-2) = -2 (-2)^2 + 3 (-2) - 5
= -2 (4) - 6 - 5
= -19
g (0) = -2 (0) + 3 (0) - 5
= 0 + 0 - t
= -5
g (3) = -2 (3)^2 + 3 (3) - 5
= -18 + 9 - 5
= -14
Answer:
One
Step-by-step explanation:
Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)
To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.
Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.
Answer:
r = 
Is this a live test question or a homework question?
Step-by-step explanation:
the radius is the distance between (3, 2) and (5, -2)
= 
= 
= 4 + 16 = 20
r = 
Equation of circle:
