Answer:
B) t can be any whole number where 0 ≤ t < 75.
Step-by-step explanation:
Edge
Answer:
ADE=59º
Step-by-step explanation:
4x+15+13x+7=90
17x+22=90
17x=68
x=4
angle B=angle ADE so we plug in x=4 into 13x+7
13(4)+7=59º
Answer:
3/4 of a cookie, if you want a decimal it is 0.75 of a cookie.
Step-by-step explanation:
She has 3 cookies and 3 friends plus herself. So that is 4 people. 3 cookies, divide them by 4 people, which is 3/4, in decimal form it is 0.75
Answer:
Length = 5 cm, width = 2 cm.
Step-by-step explanation:
If L is the length and W the width we have the equations:
LW = 10 <----- The area.
2L + 2W = 14 <------ The perimeter.
From the first equation L = 10/W so substituting for L in the second equation:
2 * 10/W + 2W = 14
20/W + 2W = 14 Multiplying through by W:
20 + 2W^2 = 14W
2W^2 - 14W + 20 = 0 Dividing by 2:
W^2 - 7W + 10 = 0
(W - 5)(W - 2) = 0
W = 5 or 2.
So W is either 2 or 5 cm.
Substituting W = 2 in LW = 10
L * 2 = 10
L = 5 cm.
The length is longer than the width so the length is 5 cm and the width = 2 cm.
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
