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2 years ago

The midpoint of TU is M(1, 5). One endpoint is U(2, 0). Find the coordinates of the other endpoint T.

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

8 0

Answer:

T(0, 10)

Step-by-step explanation:

point T(x, y)

=> (x+2)/2 =1

x+2= 2

x = 2-2

x = 0

=> (y +0)/2 = 5

y+0=10

y = 10

so, point T =>(0, 10)

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What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

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3 years ago

It takes 99 apples to make 9 pies. How many apples would it take to 4 pies? (Hint simplify your ratio first)

kolbaska11 [484]

Answer:

it would take 36 apples to make 4 pies.

Step-by-step explanation:

9 x 4 = 36

4+4+4+4+4+4+4+4+4= 36

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3 years ago

What is the correlation between salaries and computer skills? * ANSWER FAST *

Licemer1 [7]

please i need help on this question too

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3 years ago

A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of

dlinn [17]

Answer: 2 bookcases.

Step-by-step explanation:

Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.

According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:

$\frac{2}{1}=\frac{5}{x}$

Now you must solve for "x" in order to find its value:

$(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5$

Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:

$x\approx2$

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3 years ago

Given the function f(x) = -0.5|2x + 2| + 1, for what values of x is f(x) = 6?

Licemer1 [7]

Answer:

No values of x can make f(x)=6

Step-by-step explanation:

Equation with Absolute Value

The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.

The function provided in the question is:

$f(x) = -0.5|2x + 2| + 1$

We need to find the value(s) of x that make:

f(x)=6

It needs to solve the equation:

$-0.5|2x + 2| + 1=6$

Subtracting 1:

$-0.5|2x + 2| =6-1=5$

Dividing by -0.5:

$|2x + 2| =5/(-0.5)=-10$

We reach to this equation to solve:

$|2x + 2| =-10$

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:

No values of x can make f(x)=6

6 0

3 years ago