Answer: a = 3
Step-by-step explanation: when you multiply 6 by -3 you get -18 and if you add 16 you get -2
so the slope is -3 and the y-intercept is 16
so a*-3 + 16 = 7
by subtracting 16 on both sides you get
-3a = -9
and to get a by itself you divide -3 on both sides
a = -9/-3
a= 9/3
a = 3
Answer:
The correct answer is the number in the note is 80 and the first digit is 8.
Step-by-step explanation:
Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.
Number of nets that they must bring is 320.
Each box contains 4 nets.
There number of boxes necessary to be brought is given by 
= 80.
Therefore the missing digit of number the number in the note is 8.
Answer:
Inequality symbol = ≥
Solution = d≥4
Step-by-step explanation:
If a family drives 350 miles per day, then;
1 day = 350 miles
To determine the number of days they will use to reach at least 1400mles
d days = 1400miles
Divide both expressions
1/d = 350/1400
Cross multiply
350 * d = 1400
350d = 1400
Since we are told that it ia at least 1400miles, this means the total miles can be greater than 1400. Hence the correct inequality sign to use will be a greater than or equal to sign(≥).
The expression above becomes 350d ≥ 1400
Divide both sides by 3350
350d ≥ 1400/350
d≥ 4
Hence the solution that represent the situation is d≥ 4
Answer:
Option C is true.
Step-by-step explanation:
See the attached diagram.
Since MN is a diameter of the circle at P, so it will always make a right angle at a point on the circumference of the circle.
Therefore, ∠ MLN = 90° as L is a point on the circumference.
Now, given that LM = 2x and LN = 3x, then we have to find MN.
So, applying Pythagoras Theorem, MN² = LM² + LN²
⇒ MN² = 4x² + 9x² = 13x²
⇒ MN = x√13
Therefore, option C is true. (Answer)
