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NNADVOKAT [17]
3 years ago
5

Need Help, ASAP. Math

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
It’s A, i have to type twenty characters though.
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The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is
alex41 [277]

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

y=ax^{2} +bx+c

The line of symmetry is calculated as:

x=\frac{-b}{2a}

Now, we have the equation y=ax^{2}-4x+3 and the line of symmetry is x=-2

Where:

b=-4\\c=3

So, we can replace b by -4 and x by -2 and solve for a using the following equation as:

x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1

It means that the equation of the parabola is equal to:

y=-1x^{2}-4x+3

7 0
3 years ago
13-3i=-8 what does i equal
vladimir2022 [97]

Answer:

i = 7

Step-by-step explanation:

13 - 3i = -8 -> -3i = -21 -> i = 7

5 0
3 years ago
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What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?
worty [1.4K]

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.

6 0
3 years ago
The equation for the speed/distance
asambeis [7]

Step-by-step explanation:

S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado

A) tornado travels 130 miles = d; find S

S = 93 log10(130) + 65

S = 261.6 mph rounds up to 262 mph

7 0
3 years ago
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Slope = (2)/(5), y-intercept=-2<br> Write the equation of the line in slope-intercept form please
hichkok12 [17]

Answer:

y = 2/5 - 2

Step-by-step explanation:

3 0
3 years ago
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