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2 years ago

The midpoint of AB is (1.2). The coordinates of A are (-3, 6) Find the coordinates of B.

Mathematics

1 answer:

Gala2k [10]2 years ago

3 0

Answer: coordinates of B are (5,-2)

Step-by-step explanation:

let B be (x2,y2)

x1 = -3 y1 = 6

x = 1

y = 2

x = (x2 + x1)/2

1 = (x2+(-3))/2

or, 2 = x2 - 3

so, x2 = 5

now

y = (y2+y1)/2

or, 2 = (y2 + 6)/2

or, 4 = y2 + 6

so, y2 = -2

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The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is

alex41 [277]

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

$y=ax^{2} +bx+c$

The line of symmetry is calculated as:

$x=\frac{-b}{2a}$

Now, we have the equation $y=ax^{2}-4x+3$ and the line of symmetry is $x=-2$

Where:

$b=-4\\c=3$

So, we can replace $b$ by -4 and $x$ by -2 and solve for $a$ using the following equation as:

$x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1$

It means that the equation of the parabola is equal to:

$y=-1x^{2}-4x+3$

7 0

2 years ago

The depth of water near a boat dock is collected by a buoy. The data shows that the water level reached 11 feet during high tide

Scorpion4ik [409]

9514 1404 393

Answer:

9.17 ft

Step-by-step explanation:

Put x=12 in the equation and evaluate. (The sine argument is in degrees.)

y = 1.5·sin(25.72(12 +1.5)) +9.5 = 1.5·sin(347.22) +9.5

y = -0.33 +9.5 = 9.17

The water will be 9.17 feet deep at noon.

3 0

2 years ago

Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was

11111nata11111 [884]

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

3 0

2 years ago

What is the value of y? PLEASE EXPLAIN<br> 8.5 = y/3 <------ Fraction

NISA [10]

Answer:

y=25.5

Step-by-step explanation:

To find y, you need to get it by itself. Ask yourself, what is being done to y, then to undo that, do the opposite. For example, if 3 was added to y, you would need to subtract 3 to cancel out the 3. In this case, what is being done to y? It's being divided by 3. So, you multiply by 3 to cancel that out. Whatever you do to one side of an equation, you also have to do to the other. So,

8.5= $\frac{y}{3}$ Multiply both sides by 3

3(8.5) = 3( $\frac{y}{3}$ ) multiply on the left side, and on the right side the 3s cancel out

25.5=y

5 0

2 years ago

Evaluate the following expressions if ×=2,y=3 and Z=4. a.4×+×-3over ×+10 b.2y-5yover y+5. c.yz-×. d.9+y+zover y+2

sammy [17]

Answer:

A= 7 11/12 or 7.916 or 95.12

B= 4 1/8 or 4.125 or 33/8

C= 12 4/5 or 12.8 or 64/5

6 0

3 years ago