Answer:
A. x=4
B. x=16
Step-by-step explanation:
A. multiply out: 3x+6=18
subtract 6 from both sides: 3x=12
divide both sides by 3: x=4
B. subtract 2 from both sides: x=16
Answer:
b) no
Step-by-step explanation:
let's put all these options in columns to visualize:
shirts: pants:
red khaki
white black
black white
now i'll list all the combos without matching colors (shirt, pants)
red, khaki;
red, black;
red, white;
white, khaki;
white, black;
white, white;
black, khaki;
black, black;
black, white;
now, we need to get rid of any combos that consist of the same color and combos that consist of black and white paired together.
and we're left with:
red, khaki;
red, black;
red, white;
white, khaki;
black, khaki;
that's only 5 options, so no, she cannot make 8 outfits
Answer: the length of the base of the banner is 3 meters.
Step-by-step explanation:
Assuming the banner is in the shape of a right angle triangle, we would apply the formula for determining the area of a triangle which is expressed as
Area = 1/2 × base × height
Let b represent the base
The banner is in the shape of a triangle with a height that is 4 times as tall as the base length of the banner. It means that the height of the banner is 4b
If the total area of the banner is 18 square meters, it means that
18 = 1/2 × b × 4b
18 = 2b²
b² = 18/2 = 9
b = √9 = 3 meters
Answer:
It doesn’t represent a function
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x+5y = 20
y = (-8/5)x + 4
slope of the line is -8/5.
slope of any perpendicular to the line is ⅝.
line of slope ⅝ that passes through P(4,5):
y-5 = ⅝(x-4)
y = ⅝x + 2.5
find intersection of lines
⅝x + 2.5 = (-8/5)x + 4
25x + 100 = -64x + 160
89x = 60
x = 60/89, y = 260/89
distance between (60/89, 260/89) and (4,5) = 3.92
