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jeka94
3 years ago
9

If Kates swing travels 8 feet forward, about how far will it travel backward?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0
Kate will travel 8 feet backwards
UNO [17]3 years ago
6 0
It would swing 8 feet back
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For what values of x and y are the triangles to the right congruent by​ HL?
vaieri [72.5K]

Answer:

x = 28/3

y = 7/3

Step-by-step explanation:

If the triangles are congruent, then corresponding sides are equal.

x = 4y

x + 1 = y + 8

Solve the system of equations using substitution or elimination.  Using substitution:

4y + 1 = y + 8

3y = 7

y = 7/3

Solving for x:

x = 28/3

6 0
3 years ago
Rewrite the function by completing the square (vertex form)<br><br> f(x)=x^2+16x-46
insens350 [35]

Answer:

\large\boxed{f(x)=(x+8)^2-110}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110

5 0
3 years ago
What number is the opposite of 35?
wlad13 [49]

Answer:

I believe its -35

Step-by-step explanation:

negatives are opposites or positives lmk ig I'm wrong

6 0
3 years ago
19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?
Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

  = 3(x² + x - 2) ← distribute by 3

  = 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0
3 years ago
Farmer Emmet used to own 2,300 acres of farmland. However, he recently sold 28% of his farm to a residential developer.
kap26 [50]

9514 1404 393

Answer:

  1. 1656 acres left
  2. 644 acres sold
  3. $32,200,000

Step-by-step explanation:

1. The number of acres sold is ...

  28% × 2300 = 0.28 × 2300 = 644

Then the number of acres Emmet has left will be ...

  2300 -644 = 1656 . . . acres left

__

2. Emmet sold 644 acres.

__

3. At $50,000 per acre, the value of the land sold was ...

  $50,000 × 644 = $32,200,000 . . . . paid by the developer

5 0
2 years ago
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