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AlexFokin [52]
3 years ago
12

PLEASE HELPP MEEEEE

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.

Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11

Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Kryger [21]

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

x^2+y^2-2x-8=0

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

(x^2-2x)+(y^2)=8

And complete the square for the first term:

(x^2-2x+1)+(y^2)=8+1

Factor and simplify:

(x-1)^2+y^2=9

We can rewrite our equation as:

(x-(1))^2+(y-(0))^2=(3)^2

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

8 0
3 years ago
Read 2 more answers
a farmer plants 265 acres of cotton and soybeans in the ratio of 12 to 8. How many acres of cotton did he plant?
Mkey [24]

Answer: He planted 159 acres of cotton

Step-by-step explanation: divide 265 by 20 then multiply that number by 12 for the answer. if you wanna double check me but this is right.

8 0
2 years ago
What does h(3.2) represent?
marshall27 [118]

Answer:

the height of the rock 3.2 seconds after it is propelled

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot

Let

t------> the time in seconds

h----> the the height of a rock after it is propelled by a slingshot in meters

we know that

h(t)=-16t^{2} +28t+500

For x=3.2\ sec

Find the value of h(t)

h(3.2)=-16(3.2)^{2} +28(3.2)+500=425.76\ meters

therefore

h(3.2) represent the height of the rock 3.2 seconds after it is propelled

see the attached figure to better understand the problem

8 0
2 years ago
Write the equation of the line perpendicular to F(x)=5 that goes through (-1, -3)
Ainat [17]

Answer:

x = -1

Step-by-step explanation:

y = 5 is a horizontal line

It's perpendicular would be a vertical line of the form:

x = a

Since it passes through (-1,-3)

a = -1

Hence line is: x = -1

3 0
3 years ago
Create the equation of a parabola using the function h(t) = -16t2 + h0 where h(t) is the height (in feet) of an object thrown fr
butalik [34]
H(t)=-16t²+500
0=-16t²+500
16t²=500
t²=31.25
t=5.9 seconds before the object hits the ground
☺☺☺☺
7 0
3 years ago
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