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patriot [66]
2 years ago
12

I need help figuring out the answers to these kinda poorly worded questions

Mathematics
1 answer:
drek231 [11]2 years ago
7 0
<h3>Answers:</h3>
  • What is that positive integer?  400
  • What is the value of the positive root?  20
  • What is the value of the negative root?  -20

=======================================================

Explanation:

Let x be the unknown positive integer.

The square roots of x are \sqrt{x} and -\sqrt{x}, representing the positive and negative square roots respectively.

Taking the difference of those means we subtract:

\text{PositiveRoot}-\text{NegativeRoot} = \sqrt{x} - (-\sqrt{x}) = \sqrt{x}+\sqrt{x} = 2\sqrt{x}

Set that equal to 40 and solve for x

2\sqrt{x} = 40\\\\\sqrt{x} = 40/2\\\\\sqrt{x} = 20\\\\x = 20^2\\\\x = 400

Therefore, the integer we're after is 400.

The positive square root of such is \sqrt{x} = \sqrt{400} = \sqrt{20^2} = 20

And the negative square root is -\sqrt{x} = -\sqrt{400} = -\sqrt{20^2} = -20

The difference of which is:

(Positive Root) - (Negative Root) = 20-(-20) = 20+20 = 40

This helps confirm the answers.

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Answer:

A

Step-by-step explanation:

8 0
2 years ago
The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters
inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d

To find: distances when the ball is at the same height when either of the clubs  are used. Also, to find this height

Solution:

(a)

-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres

(b)

Put d = 100 in h=-0.002d^2+0.3d

h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres

4 0
3 years ago
Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t
Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

\frac{Sin(A)}{a}=\frac{Sin(B)}{b}

Upon substituting the given values of angle A, and sides a and b, we get:

\frac{Sin(75)}{2}=\frac{Sin(B)}{3}

Upon solving this equation for B, we get:

\Rightarrow 3Sin(75)=2Sin(B)\\  \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\  \Rightarrow Sin(B)=1.4488\\

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0
2 years ago
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Please help with the attachment
just olya [345]

Answer:

b

Step-by-step explanation:

In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.

Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.

Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)

6 0
2 years ago
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A truck drive drove 48 miles in 45 minutes. At this rate, how many miles can the truck driver drive in one hour?
-Dominant- [34]

Answer:

the truck driver can drive 64 miles in one hour.

Step-by-step explanation:

Number of miles driven in 45 minutes = 48 miles

48/45x60=64

8 0
2 years ago
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