Answer:
<em>-26 or 14</em>
Step-by-step explanation:
Given that
Coordinate of point A is -6.
Length of AB = 20
To find:
Coordinates for the point B = ?
Solution:
We are given that:
AB = 20
In other words, we can use modulus function to define the distance between A and B:
|Coordinates of B - Coordinates of A| = 20
Let the coordinates of B = 
Kindly refer to the attached image for the given situation.
Point B might be either on the left or on the right side of A.
That means:
Now, let us have a look at the modulus function:
So,
Therefore, the answer is:
<em>-26 or 14</em>
Answer:
31.5 units^2
Step-by-step explanation:
Rectangle area (RA) = l × w
Triangle area (TA) = (bh)/2
RA = 3 × 7
RA = 21
TA = (7 × 3)/2
TA = 21/2
TA = 10.5
(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)
Add areas together
21 + 10.5 = 31.5
Answer:
increasing
Step-by-step explanation:
This line is increasing
The slope is greater than 0 so the line is going up
There are many ways to solve number 5 as it is just an reduce/enlargement of equidistant fractions
The first method that came up to my mind is just dividing denominators.
For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.
You can use this method for b, either use a calculator because of the decimals or just remove the decimals and replace them later. Make sure when you use this method, you are always dividing the bigger number. So in B you would do 40.3 divided by 12.4
The two lines are parallel, therefor 90-28=internal angle=62. Using trigonometry, Cosine=a/h. Cos(62)=350/x. Rearrange to get 350/Cos(62) = 519.7(1dp)
