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antoniya [11.8K]
2 years ago
13

Square MATH is shown at the right. Assume its vertices have integer coordinates. What are the coordinates of the midpoint of the

diagonal from H to A?​

Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Answer: F(-0.5,-0.5)

Step-by-step explanation:

A(3,3)      H(-4,-4)

The coordinates of the midpoint of the diagonal AH F(x,y):

\displaystyle\\F(x,y)=(\frac{3+(-4)}{2} ,\frac{3+(-4)}{2} )\\\\F(x,y)=(\frac{3-4}{2} ,\frac{3-4}{2})\\\\F(x,y)=(\frac{-1}{2},\frac{-1}{2})\\\\F (x,y) =(-0.5,-0.5)

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Step-by-step explanation:

6 0
3 years ago
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
4 years ago
What’s the sequence?
Troyanec [42]

Answer:

see explanation

Step-by-step explanation:

Note that the difference between consecutive terms is - 8

To obtain the next term in the sequence subtract 8 from the previous term.

next term = 56 - 8 = 48

The sequence is 72, 64, 56, 48

3 0
3 years ago
Which unit would you use to measure the amount of water in a bathtub?
zepelin [54]
Liters the rest are to small and kg is for solids
7 0
3 years ago
!!!!How many solutions does the equation have?
Margaret [11]
No solution bc the equations aren't equal to each other
3 0
3 years ago
Read 2 more answers
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