Here is your answer and an explanation
Answer: y = -2/3x
Explanation:
This can be determined by calculating the gradient of the straight line, using:
m=ΔyΔx
=−6−34−(−2)
=−96
=−32
Then we use the slope-point form of the straight line:
y−y1=m(x−x1)
to give:
y−3=−32(x−(−2))
∴y−3=−32(x+2)
∴y−3=−32x−3
∴y=−32x
Step-by-step explanation:
4. To use SSS, you need three pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is WY ≅ KM.
5. To use ASA, you need a pair of congruent sides between two pairs of congruent angles. You're given one pair of congruent angles, and since the triangles share a common side, we know BC ≅ BC. So the additional information needed is ∠WBC ≅ ∠ACB.
6. To use SAS, you need a pair of congruent angles between two pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is ∠I ≅ ∠F.
Answer:
H
Step-by-step explanation:
Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 32
1
3
= ( 2 × 3 ) over 3
2 × 3
3
+ 1 over 3
1
3
= ( 6 + 1 ) over 3
6 + 1
3
= 7 over 3
7
3
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
32 over 9
32
9
− 7 over 3
7
3
= ( 32 × 1 ) over ( 9 × 1 )
32 × 1
9 × 1
− ( 7 × 3 ) over ( 3 × 3 )
7 × 3
3 × 3
= 32 over 9
32
9
− 21 over 9
21
9
9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Subtract.
Subtract
32 over 9
32
9
− 21 over 9
21
9
= ( 32 − 21 ) over 9
32 − 21
9
= 11 over 9
11
9
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
11 over 9
11
9
= 1 and 2 over 91
2
9
Answer:
Truck D.
Step-by-step explanation:
Below are the rates of travel of 4 shipping trucks.
Truck A: 300 miles in 4 hours Truck B: 240 miles in 3 hours Truck C: 325 miles in 5 hours Truck D: 170 miles in 2 hours.
Speed = distance/time
Speed of Truck A,
Speed of Truck B,
Speed of Truck C,
Speed of Truck D,
It can be seen that the speed of Truck D is more out of Trucks A,B and C. Hence, Truck D is moving at a faster rate.
Answer: I’m not sure what compliment is but she would have to pick 7 to guarantee that she gets at least 1 blue lollipop
Step-by-step explanation:
There are 9 in total. 6 not blue. There are 3 blue. Assuming she gets terrible luck, she would have to take all of the non blue first which is 6. Then she would take another one to make sure she gets at least 1 blue lollipop
