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AveGali [126]
3 years ago
9

Last month Maria hiked the 5 mile mountain

Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Then hiked it 3 more times how many miles did she hike?
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Can someone please help?
kipiarov [429]
The second one. Hope this helps:)

6,025, 305< 6,026,305< 6,027,305.
3 0
2 years ago
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?
MariettaO [177]

|\Omega|=6^2=36\\ |A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\ P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\%

7 0
3 years ago
Cube - Finding Volume when you have Surface Area (no model of prism for this question)
mr Goodwill [35]

Answer:

512 cm^3

Step-by-step explanation:

Divide 384 by 6 to find the surface area of one face of the cube. 384/6 = 64.

Find the square root of 64 to find both the length and width of the square. They are equal in a square. \sqrt{64} = 8 = x

Volume = xyz or x^3

8^3 = 512

5 0
3 years ago
Read 2 more answers
The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for
Flura [38]

Answer:

50

Step-by-step explanation:

The total is 200 and 25% are juniors so u multiply 200 by 25%

Hope this helps

Correct me if this is wrong

8 0
3 years ago
Read 2 more answers
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