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emmainna [20.7K]
3 years ago
11

Whats -0.25 as a fraction

Mathematics
1 answer:
jonny [76]3 years ago
3 0
-0.25 would be -25/100 which can be reduced to -1/4
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What is the vertex form of y=2x^2-8x+1
bezimeni [28]

Answer:

2(x-2)^2-7

Step-by-step explanation:

y=2x^2-8x+1

When comparing to standard form of a parabola: ax^2+bx+c

  • a=2
  • b=-8
  • c=1

Vertex form of a parabola is: a(x-h)^2+k, which is what we are trying to convert this quadratic equation into.

To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: \frac{-b}{2a}.

Substitute in -8 for b and 2 for a.

\frac{-(-8)}{2(2)}

Simplify this fraction.

\frac{8}{4} \rightarrow2

\boxed{h=2}

The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.

y=2(2)^2-8(2)+1

Simplify.

y=-7

\boxed{k=-7}

We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).

a(x-h)^2+k\\ \\ 2(x-2)^2-7

6 0
3 years ago
The sum of the measures of two acute angles is always greater than 90 degrees
kotykmax [81]

Answer:

One acute angle will always measure between 0° and 90° . Two acute angles can sum to be either greater than, less than, or equal to a right angle. Two acute angles can be complementary angles (adding to 90° ). Two acute angles alone cannot sum to make a straight angle (180° )

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3 years ago
What is the measure of angle of 1?
Ludmilka [50]

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

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3 years ago
Q + 12 ≥ 5<br> Solve the inequality
koban [17]

Answer:

Q≥-7

Step-by-step explanation:

Q+12≥5 subtract 12 from both sides Then simplify

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Which statement is false?
Zolol [24]

Some integers are irrational is false

5 0
3 years ago
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