Answer:
f(x) = (x - 4)^2
Step-by-step explanation:
When plotted upon a graph, the function passes through the line. You can find the vertex by using the formula: f(x) = a(x - h)^2 + k
h = 4, meaning the vertex is (4, 0)
Hope this helps!
Answer:
1 / 1296
Step-by-step explanation:
Rolling a 1 for one of the cubes is 1 / 6
1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296
<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT REASON </em>
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1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
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<em>Keywords: statement, length, reason, proof</em>
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Learn more about proof from brainly.com/question/13005321</em>
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<span>What you have described is a right angled triangle with a hypotenuse of length 13 feet and a base of 5 feet. To find the length of the remaining side (i.e. how far up the side of the building the ladder reaches) you have to use Pythagora's Theorem. This states that the hypotenuse squared is equal to the sum of the squares of the other two sides. So your answer should be 13^2=5^2+(how far up the side of the building the ladder reaches)^2, which becomes 169=25+(other side)^2, =169-25=(other side)^2 = 144= (other side)^2, so the height that the ladder reaches up the side of the building equals 12 feet.</span>
Answer:
5x² - 2x - 9 = 0.
Is a example
Step-by-step explanation:
