Answer:
The distance is 5
Step-by-step explanation:
You can use the distance formula or Pythagorean theorem for this
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
Know about the following<span> topics. </span>1<span>. Converse of Pythagorean Theorem. </span>2. 45-45-<span>90 </span>Right Triangles<span>. </span>3<span>. 30-60-90 </span>Right Triangles<span>. </span>4<span>. Tangent Ratio. </span>5. Sine Ratio. 6<span>. ... </span>Check<span> to see whether the </span>side lengthssatisfy the equation c2. = a2 + b2. (√113)2<span> = 72 + 82. 113 = 49 + 64. 113 = 113 </span>✓<span>. </span>7<span>. 8. √113 ? ? The triangle is a.</span>
Answer:
D -$7.20
Step-by-step explanation:
- If she takes (substance) $2.40 every times she forgets to do a chores you have to substance
- but first you have to multiply because she forgets 3 times
- 2.40 × 3 is 7.20
- but since she taking it away it would be negative
so your answer is -$7.20
I hope this helps
