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tigry1 [53]
2 years ago
6

Point B has coordinates (−4, −2). The x-coordinate of point A is 5. The distance between points A and B is 15 units. What are th

e possible coordinates of point A?
Mathematics
1 answer:
GaryK [48]2 years ago
7 0

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{AB}{15}=\sqrt{[-4 - 5]^2 + [-2 - y]^2}\implies 15^2=(-9)^2+(-2-y)^2

225=81+(-2-y)(-2-y)\implies 225=81+\stackrel{F~O~I~L}{(4+4y+y^2)} \\\\\\ 144=4+4y+y^2\implies 0=y^2+4y-140\implies 0=(y-10)(y+14) \\\\\\ y= \begin{cases} 10\\ -14 \end{cases}\qquad \qquad \qquad A(5~~,~~10)\qquad A(5~~,~~-14)

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The touchdown to fumble ratio for Bobby Boucher was 9:2 If Bobby ran for 18 touchdowns,
Vika [28.1K]

Answer: He had 14 more touchdowns than he did fumbles.

Step-by-step explanation:

Step 1. Ok, so we need to see how many times 9 will divide into 18.

18/9=2.

Step 2. So now that we know that 9 goes into 18 two times and we know he has two fumbles for every 9 touchdowns we can multiply 2 by 2 to find out how man fumbles he had.

2*2=4

Step 3. Now to find out how many more touchdowns than fumbles he had we need to subtract his fumbles from his touchdowns.

18-4= 14. So, now we know he had 14 more touchdowns than he did fumbles.

Hope this helps!

4 0
3 years ago
3(x-1)=2x+9 how many solutions are there
Nostrana [21]
There are 4 solutions
5 0
3 years ago
If the area of a circle is 121pie square units, what is the diameter
velikii [3]
Since you are given the area, we can solve for radius with this equation:
A_c = \pi r^2
r = \sqrt{ \frac{A_c}{ \pi } } = \sqrt{ \frac{121 \pi }{ \pi } } = \sqrt{121} = 11

The radius is 11, so the diameter must be 2 times that, which is 22. With the correct units, the answer is 22 units²
4 0
3 years ago
In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.
NARA [144]
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°
6 0
3 years ago
Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hou
riadik2000 [5.3K]

Step-by-step explanation:

you should only make one equation:

75 + 45x = 30 + 55x

subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:

45 = 10x

Divide by 10 and get:

4.5 = x

After 4.5 hours, the cost is equal for either worker.

8 0
3 years ago
Read 2 more answers
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