The curve produced by the water coming from a hose is sketched onto a graph with zeros at 1 and 5. The point (4,1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and
x represents the horizontal distance, which statements are true? Check all that apply
The scenario can be represented by the function h(x)=-0256)(x-5).
The scenario can be represented by the function h(x)= 16)(x + 5).
The vertex is on the line x=25.
The greatest height that the water reaches is 15 units.
The scenario can be represented by the function h(x)=-166-5).
Answers
Answer:
A and C.
Step-by-step explanation:
From the problem, we deduct that the function has to be quadratic, because it's mention two zeros, which is proper of a polynomial expression with grade 2.
So, we can say that:
Because, 5 and 0 are roots of the expression.
Also, we know that the point is on the curve, this means:
Replacing this relation in the first expression, we have:
So, the expression would be:
If we graph, we could get the vertex easier.
You can see in the image, that the vertex is at x = 2.5
Therefore, the option C is the answer.
However, the first option has this function:
h(x) = –0.25(x)(x – 5).
Which also can be solution, because, if we try x = 4:
h(4) = –0.25(4)(4 – 5)=1
Therefore, option A is also part of the answer.
Answer
answer A and C are right
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14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To find the length of the cloth needed to make the tent, we can use the Pythagorean theorem.
The triangle formed by the tent is isosceles, the hypotenuse is equal to one of the equal sides, and we can use the Pythagorean theorem to solve for "x".
The length of the hypotenuse is:
√(1/2× 8)² + 6² )
√16 + 36 )
√52= 2√13
Since the tent is isosceles, the length of each of the two equal sides of the triangle is also "x", so we have:
2x = 2√13
Solving for "x", we get:
x = √13
Therefore, the length of the cloth needed to make the tent is:
2x + 8
= 2√13 + 8
= 14.61 feet
So the cloth would have to be 14.61 feet long.
Hence, 14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.
To learn more on trigonometry click:
#SPJ3
Answers
Minus 12.7 from each side
x=8.3
8.3+12.7=21
Your answer is "?" or x=8.3
8.3+12.7=21
Use this information to determine the probability of
selecting
1) a white marble
2) a red marble
3) a yellow marble
4) a purple marble
5) a black marble
Answers
Answer:
1) 1/23 2) 6/23 3) 2/23 4) 0/23 5) 7/23
Step-by-step explanation:
There are 23 marbles in total.
1) 1/23 There is 1 white marble.
2) 6/23 There are 6 red marbles.
3) 2/23 There are 2 yellow marbles.
4) 0/23 There are 0 purple marbles.
5) 7/23 There are 7 black marbles.
Answers
your welcome
Answers
11.6 is closer to 12 than it is to 11 so we can estimate that
11.6≈12
And .25 is closer to 0 than it is to .5 so we can estimate
.25≈0
It also depends what place we are rounding to, we can say that .25 is close to .3 because we don't want to have a 0 value
.25≈.3