We know that
[scale factor ]=[real]/[drawing]
[real]=[drawing]*[scale factor ]
step 1
find the real values
if the base of Riley's drawing is 10 centimeters
[real]=[drawing]*[scale factor ]--------> 10*3-------> 30 cm
the base of the triangular clock face is 30 cm
the height of Riley's drawing is 15 centimeters
[real]=[drawing]*[scale factor ]--------> 15*3-------> 45 cm
the height of the triangular clock face is 30 cm
the area of the triangular clock face is-----> 45*30/2-------> 675 cm²
the answer is the option C. 675 square centimeters
To find the distance between 2 numbers you must take the absolute value of the difference
|90-(-20)|
|110|
110
110 degrees celsius
The answer is 200 points. Because when you add this 200 to her first 200 points, you will get her final points which is 400 points. Hope I was able to help.
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
Therefore, he bought 4 apples and 6 pears.
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
