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Nata [24]
3 years ago
14

The coordinates of point T are (0,4). The midpoint of ST is (2, - 8). Find the coordinates of point S.

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

(4,-20)

Step-by-step explanation:

midpoint ((x1+x2)/2, (y1+y2)/2)

Let S be (x,y(

(0+x)/2=2, solve for x, x=4

(4+y)/2=-8, solve for y, y=-20

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vichka [17]
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4 0
3 years ago
What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.
skad [1K]

Answer:

option A and B

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

Step-by-step explanation:

we have

2x^2+7x+4=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^2+7x+4=0

so

a=2\\b=7\\c=4

substitute in the formula

x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}

x=\frac{-7\pm\sqrt{17}} {4}

so

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

7 0
3 years ago
Use the diagram to solve. What is 135% of 280?
Darina [25.2K]
378% is the correct answer. Divide 280 by 100 to find 1 percent. Then multiply by 135 to find 135%
4 0
3 years ago
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The equation that models this trip is T= 36x + 60 where T represents the total cost for the group to take the trip and X equals
Archy [21]

We are given

The equation that models this trip is T= 36x + 60

T represents the total cost for the group to take the trip and

X equals the number of people going

we know that

Domain is all possible values of x for which any function is defined

Since, number of people can neither be negative nor in decimals

so, x can not be negative or in decimals

now, we will check each options

option-A:

x=40

This is positive and whole number

so, this can be domain

so, this is TRUE

option-B:

x=60

This is positive and whole number

so, this can be domain

so, this is TRUE

option-C:

0< x< 40

It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

option-D:

0< x< 39

It also includes decimals numbers

and we know that

x can not be in  decimals

so, this is FALSE

4 0
3 years ago
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A scale drawing of a kitchen is shown below. The scale is 1 : 20.
Arada [10]

Answer:

0.138889

Step-by-step explanation:

formula is to divide by 144

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therefore 20÷144

=0.138889

3 0
2 years ago
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