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igor_vitrenko [27]
2 years ago
8

Please help and give a explanation I will give brainliest and 25 points

Mathematics
1 answer:
Doss [256]2 years ago
8 0

Answer:

Addition: -1 + -3 = -4

Subtraction: (-4) - 5 = -10

Step-by-step explanation:

Since adding a positive makes a negative number stay negative, it equals -4.

Then by subtracting a negative with a positive (5), the number stays negative once again, which then equals -10.

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Find the side of a square whose diagonal is of the given measure. Given = 15 square root 2
MatroZZZ [7]
If the square is 15 units on each side, then its diagonal would be √(15²)+(15)²=√450=15√2 ☺☺☺☺
6 0
3 years ago
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When running a 100 meter race Bill reaches his maximum speed when he is 45 meters from the starting line and 5 seconds have elap
Mkey [24]

Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

<h3>Methods used to calculate speed and distance traveled</h3>

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, <em>t</em> = 10 s - 5 s = 5 s

Speed = \mathbf{\dfrac{Distance}{Time}}

Therefore;

  • Bill's \  maximum \ speed = \dfrac{40 \ m}{5 \ s} = \underline{8 \ m/s}

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance,<em> s</em> = Speed, <em>v</em> × Time, <em>t</em>

<em />

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

  • Bill's distance from the starting line 8 seconds after start is 45 meters + 25 meters = <u>69 meters</u>

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

  • Bill's distance from the starting line 6.5 seconds after start of the race = 45 meters + 12 meters = <u>57 meters</u>

Learn more about distance, speed, time, relationship here:

https://brainly.in/question/49075584

6 0
2 years ago
determine the dimensions of a quadrilateral with a perimeter of 48 feet that will create the smallest area
Vsevolod [243]
A quadrilateral 24 ft long and 0 ft wide will have the smallest area.
4 0
3 years ago
-14 farenheit in the morning, dropped by 7 farenheit.
umka21 [38]
The answer is negative 21
7 0
3 years ago
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Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
gregori [183]

Answer:

(f-g)(x)=x^2-4x-21

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-3x-28\text{ and } g(x)=x-7

And we want to find:

(f-g)(x)

This is equivalent to:

=f(x)-g(x)

Substitute:

=(x^2-3x-28)-(x-7)

Distribute:

=x^2-3x-28-x+7

Rearrange:

=(x^2)+(-3x-x)+(-28+7)

Hence:

(f-g)(x)=x^2-4x-21

6 0
3 years ago
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