I am pretty sure the answer is x=25 degrees. Since those two line segments intersect each other straightly, those two angles in the question will be the same. Therefore, y
Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
Now we have a negative exponent, which is the opposite of a positive exponent.
If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then
the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.
Examples:
The trick is to recognize that
is the same thing as 
and 
mean the same thing.
So, 
For your exercise, 
means you'll move the decimal point 24 places to the left, to make the number smaller.
Answer: she spent $10.21
Step-by-step explanation:
She buys 10 eggs for $0.33 per egg. This means that the total cost of eggs that she bought would be
10 × 0.33 = $3.3
She also buys 3 pounds of beets at a cost of $1.42 per pound. This means that the total cost of of beets that she bought would be
3 × 1.42 = $4.26
Before she leaves, Ms. Littlebird purchases 5/8 lb of spinach, which costs $4.24 per pound. This means that the total cost of spinach that she bought would be
5/8 × 4.24 = $2.65
Total amount that Ms Littlebird spend at the farmers market is
3.3 + 4.26 + 2.65 = $10.21
Answer:
70 students
Step-by-step explanation:
As, 30% Mike surveyed
And these 30% are 21 students
So 30% of X = 21
= 30/100 x X = 21
= 30X = 2100
So X = 2100/30
X = 70
So 70 students were surveyed
