→ 6x² - 2x - 20
→ 6x² + 10x - 12x - 20
→ x(6x + 10 ) - 2 (6x + 10)
→ (6x + 10) (x - 2) .
for
6x - 10 = 0
6x = 10
for x - 2
x = 2
Answer: x = 9 (choice D)
Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length
AB = BC
3x - 5 = 22 .... substitution
3x - 5+5 = 22+5 .... add 5 to both sides
3x = 27
3x/3 = 27/3 ..... divide both sides by 3
x = 9
It is a little difficult to see the graph but I am assuming that the x-axis is temperature in Celsius and the y-axis is temperature in Fahrenheit.
Since the y-intercept is always the point at which the x-value is equal to 0, in this case the y-intercept would be the Fahrenheit temperature that is equivalent to 0°C.
I hope this helps.
Answer: [C]:
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" Equation F can be written as 4n + 1 = 6n + 8. "
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Answer:
The ramp is 21.8 ft tall.
Step-by-step explanation:
If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.
We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:
Insert values:
Multiply 40 to both sides to isolate the variable:
Insert the value of x into a calculator:
Round if necessary:
Done.