Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
Answer: The height of a triangle is the perpendicular segment that joins the base with its opposite vertex.
Step-by-step explanation:
The base can be any side of the triangle.
Answer:
a
Yes
b

c

d

Step-by-step explanation:
From the question we are told that
Two fair dice, one green and one red were rolled
Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die
Generally the probability of getting a 1 on a dice rolled is 
the probability of getting a 5 on a dice rolled is 
Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as


Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as


Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as


Answer:
Do not have
More
Cell wall
Flagellum
Step-by-step explanation:
Answer:
It is a consistent way of measuring the amount of alcohol in a drink.
Step-by-step explanation:
A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.