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Leya [2.2K]
2 years ago
15

Determine if the card below represents a reflection over the x-axis or a

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

Reflection over y-axis

Step-by-step explanation:

We know that with a reflection of the x-axis, we flip the value of the y value

But since the y-values in Q3 and Q4 are both negative, we know that can't be the case

So it has to be a reflection over the y-axis where the x-values are flipped

Hope this helps

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Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth
KonstantinChe [14]

Answer:

Step-by-step explanation:

Area of a circle is defined as

A = πr²

Where

A is the area of the circle

r Is the radius of the circle

π is a constant = 3.142

Then,

Given that the area is 380 in²

So,

A = πr²

380 = 3.142 × r²

Divide both side by 3.142

380 / 3.142 = 3.142 × r² / 3.142

111.372 = r²

Take square root of both sides

√111.372 = √r²

10.5533 = r

r = 10.5533 in

Nearest hundredth means to 2d.p

Therefore

r = 10.55 inches

7 0
2 years ago
Read 2 more answers
The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i
Hunter-Best [27]

Answer:

(x+3)^2+(y+11)^2=121

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

  • Blue line is given by y = 4x + 1.
  • Point B is the center of the circle.
  • Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

(x-h)^2+(y-k)^2=r^2

then with h = -3, k = -11 and r= 11, the equation of our circle is

(x+3)^2+(y+11)^2=121

5 0
2 years ago
Average Price (dollars) 22 40 28 35 46
lakkis [162]

I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for I don’t even wanna go get my kids and get to go to work tomorrow so y’all don’t know what I gotta I wanna is the day you got me in my car so I’m going back home to you and get my kids done and then go to take my car to the house I gotta is a way I gotta is a time for
7 0
2 years ago
Write and equation with aa variable on both sides of the equal sign that has infinitely many solutions. solve the equation and e
LekaFEV [45]
X = x

to solve, subtract both sides by x:

0 = 0

x is always equals to x so infinite solutions
8 0
3 years ago
Price __________ works because human minds assign disproportionate weight to the first information they receive when making deci
Burka [1]

Answer:

Anchoring

Step-by-step explanation:

Price anchoring is when potential buying rely on first price information about the commodity to buy. Price anchoring is used to create a price reference point when making decision as compare to old price. It also gives customers perception of future price.

7 0
3 years ago
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