Given that,
Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
To find,
The length of the strip of wood.
Solution,
Mark glues together four pieces of wood to make one long strip.
Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.
L = 16.75 + 9 + 24.25 + 12.5
= 62.5 inches
Hence, the strip of wood is 62.5 inches long.
We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
My savings served to bought 10 candies on the store and left 650, or also could have served to buy 60 candies and had left 400. What is the price of the candies m ?
<span>650 + 10m = 60m + 400
</span>To know the price of the candies, we had to get the value of m:
60m - 10m = 650 - 400
50m = 250
m = 250/50
m = 5
so the price of the candies is 5, and the savings is equal to each side of the first equation:
savings = 650 + 10m = 650 + 10(5) = 650 + 50 = 700<span>
</span>savings = <span>60m + 400 = 60(5) + 400 = 300 + 400 = 700
</span>then the savings are 700
Answer:
140 Degrees
Step-by-step explanation:
