y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:The height of the pharmacy area is 17 feet
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The pharmacy area is rectangular. The height of the pharmacy area becomes the width of the rectangle.
The area of the pharmacy area is given as 391 ft^2
The length of the pharmacy area is given 23 feet
Therefore
23 × h = 391
h = 391/23 = 17 feet
m=number of miles
A=$110+$0.50m
B=$80+$0.80m
$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)
$30=$0.30m Divide each side by $0.30
100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.
Answer: 7p+3
Step-by-step explanation: Product indicates there will be multiplication involved. You see that it will occur with "a number and 7." This means you will have 7 times any variable. The word "increased" suggests addition will occur. This says the product of previously mentioned numbers will be increased by 3. You now have 7p+3
The Volume and Surface Area of Prism is 294 in² and 114.33 in³.
<h3>What is pyramid?</h3>
A large structure built especially in ancient Egypt that usually has a square base and four triangular sides meeting at a point and that contains tombs.
Surface rea of rectangular prism,
= 2( lb +bh +lh)
= 2 ( 7*7 + 7*7+ 7*7)
= 2 ( 49+49+49)
= 2*3*49
= 294 in²
Now, Volume,
= bhl/3
= 7*7*7/3
= 114.33 in³
Learn more about volume and surface area here:
brainly.com/question/23302816
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