460 < 2x + 10 and 2x + 10 < 660
Solve x in each equation:
Rewrite so X is on the left side:
2x +10 >460
Subtract 10 from each side:
2x > 450
Divide both sides by 2:
x > 450 /2
x > 225
2x +10 <660
Subtract 10 from both sides:
2x < 650
Divide both sides by 2:
x < 650 / 2
x < 325
Combine the answer: 225 < x < 325
This means her carb intake needs to be more than 225 and less than 325 grams.
Answer:
x = 1
Step-by-step explanation:






Given:
The equation
goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

...(i)

...(ii)
Adding (i) and (ii), we get


Divide both sides by 4.

Put A=5 in (i), we get
Divide both sides by 5.

Therefore, the values of A and B are 5 and -4 respectively.
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32