First find the slope. 4+1/3-2 = 5/1 or 5. Plug in your points to find b. 4=5(3)+b. 4=15+b. b=-11. SO the equation is y=5x-11.
Answer:
choice a
Step-by-step explanation:
angle 45 means, its a isosceles triangle.
so y = √3
x^2 = 3+3= 6
x = √6
Answer:
B. 8x^2-6x-7
Step-by-step explanation:
All you have to do is combine the like terms.
Like terms are the terms that have the same variable and same exponent.
The like terms in this equation are 6x^2 and 2x^2, 11x and -17x, and -3 and -4.
When you add 6x^2 and 2x^2, you get 8x^2
When you add 11x and -17x, you get -6x
When you add -3 and -4, you get -7.
Putting these all in order, your answer is
8x^2 - 6x - 7
A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
H + c = 605
c = h + 55
h + h + 55 = 605
2h + 55 = 605
2h = 605 - 55
2h = 550
h = 550/2
h = 275 <== there were 275 hamburgers sold on Friday
c = h + 55
c = 275 + 55
C = 330...there were 330 cheeseburgers sold on Friday
