Answer: 2u+4 <8= u<2
2u+4<8
Step 1: Subtract 4 from both sides.
2u+4−4<8−4
2u<4
Step 2: Divide both sides by 2.
2u/2<4/2
u<2
<u>4u-53 15</u>
=4u−795
Step-by-step explanation:
Answer: Choice C.
Explanation: ASA stands for "angle side angle". To use ASA, we must have two pairs of congruent angles, as well as a pair of congruent sides. The sides must be between the angles in question
Answer:
42 ft in 6 seconds
Step-by-step explanation:
The person whom walks a greater distance in lees time is faster
1. If the line that we are searching for is perpendicular to the line y = -4x, this means that the gradient of our line and the gradient of the perpendicular line will multiply to give -1. Thus if we call the gradient of our line m, then:
m*(-4) = -1
-4m = -1
m = 1/4
2. Since we know that m = 1/4 and we have a point (2,6) on our line, we can use the formula y - y1 = m(x - x1) to find the equation of our line, where (x1, y1) is the coordinates of a point on the line. Thus:
y - y1 = m(x - x1)
y - 6 = (1/4)(x - 2)
y - 6 = (1/4)x - 2/4 (Expand (1/4)(x - 2))
y = (1/4)x - 1/2 + 6 (Simplify 2/4 and add 6 to each side)
y = (1/4)x + 11/2 (Evaluate -1/2 + 6)
Slope-intercept form is given by y = mx + c. As our equation is already in this form, there is nothing more to do. Thus, the answer is y = (1/4)x + 11/2
Answer:
The total allowance is $18.5, and the amount spent daily is $3.2
Step-by-step explanation:
let T and x represent the total allowance and the amount spent daily respectively.
It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days
T - 2x =12.10 (equation 1)
It was started that the amount remaining after 5 days is $2.50 , which also implies the person has spend an equal amount for 5 days
T - 5x =2.5 (equation 2)
subtract equation 2 from 1
T - 2x -( T - 5x ) = 12.10 -2.5
T - 2x -T + 5x = 9.6
3x =9.6
Divide both side by 3
x = 9.6/3 =3.2
from equation 1
T - 2x =12.10
T = 12.10 + 2x = 12.10 + 2*3.2
= 12.10 + 6.4 = 18.5
