Transmission: automatic, manual
Color: red, blue, black, yellow
Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24
Answer:
Option B. 6
Step-by-step explanation:
Jalen is buying a new car. His options are below:
Model : Compact, luxury, sport = 3 options
Transmission : automatic, manual = 2 options
Color : red, blue, black, yellow = 4 options
Jalen decides that he wants a yellow car.
Now he has total number of choices = 3 × 2 = 6 choices
Option B. 6 choices is the answer.
B.The sum of two rational numbers is rational.
C.The product of two irrational numbers is irrational.
D.The product of two rational numbers is rational.
The scale of the model is 1 inch : 61 feet.
To find the scale of the model, we need to compare the height of the scale model to the real Statue of Liberty. The scale is the ratio of the height of the scale model to the height of the real object. In this case, the height of the scale model is 5 inches and the height of the statue is 305 feet. To find the scale, we can set up a proportion:
5 inches / x = 305 feet / 1
Cross multiplying, we get 5x = 305. Solving for x, we find that x = 305/5 = 61. So the scale of the model is 1 inch : 61 feet.
#SPJ2
In summary, a line is perpendicular to x + 3y = -3 if its slope is 3.
The subject requested is about finding the slope of a line that is perpendicular to the line specified by the equation x + 3y = -3. To find the slope, we'll first have to rewrite the given equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Rewriting x + 3y = -3, we get y = -x/3 - 1. So the slope of the given line is -1/3. Now, two lines are perpendicular if and only if the product of their slopes is -1. Therefore, the slope of the line perpendicular to the given line will be -1 / original slope = -1 / (-1/3) = 3.
Thus, the slope of a line perpendicular to the line x + 3y = -3 is 3.
#SPJ3
Answer:
Step-by-step explanation:
x^2-6x-16=0
Answer:
x = 8 or
x = -2
Step-by-step explanation:
x² - 6x - 16 = 0
Here,
a = 1
b = -6
c = -16
Now,
x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0
x² - 6x + (6/2)² - (6/2)² - 16 = 0
x² - 6x + (3)² - (3)² - 16 = 0
(x - 3)² - 9 - 16 = 0
(x - 3)² - 25 = 0
(x - 3)² = 25
x - 3 = +-√25
x - 3 = +- 5
x = 3 +- 5
x = 3 + 5 or x = 3 - 5
x = 8 or x = -2
Hope it's helpful
Answer:
Step-by-step explanation: