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vaieri [72.5K]
3 years ago
12

2. The water level of a river was measured each day during a two-week period. The

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Step-by-step explanation:

day during a two-week period. The

graph models the linear relationship between the water level of the river in feet

and the number of days the water level was measured.

Water Level of River

The initi

28

Ο Ο Ο

The max

24

20

The wate

16

Water Level (ft)

12

o

The water

CLEAR ALL

4

0

2

4

12

6 8 10

Number of Days

Which statement best describes the y-intercept of the graph?

< PREVIOUS

O 3

Os Oo Or

0.8

HH

Misha Larkins [42]3 years ago
4 0

Answer:

It is C. The initial water level is 16 ft

Step-by-step explanation:

The Y-intercept goes across 16 lol

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A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
Find the measure of each angle.
Feliz [49]

Answer:

I mite be rong but I think 8x and 3x

6 0
3 years ago
Rearrange w=3(2a+b)-4 to make a the subject
garik1379 [7]

Answer:

w-6b+4/6

Step-by-step explanation:

To get the answer you have to first open the bracket which will give you w=6a+6b-4.You then take 6b-4 to the other side to meet w after this divide all by 6 to make a the subject of the formula.

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3 years ago
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Art [367]

Answer:

missing side = 50

Step-by-step explanation:

using Pythagoras theorem,

30² + 40² = (missing side)²

900 + 1600 = (missing side)²

(missing side)² = 2500

missing side = √2500

missing side = 50

8 0
2 years ago
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