Step-by-step explanation:
y + 1 = -(x+5)
y + 1 = -x - 5
y = -x - 6
x + y = -6
Answer:
Diagonal of a rectangular frame = 85 inch
Step-by-step explanation:
Given:
Length of rectangle = 77 inch
Width of rectangle = 36 inch
Find:
Diagonal of a rectangular frame
Computation:
Diagonal of a rectangle = √l² + b²
Diagonal of a rectangular frame = √77² + 36²
Diagonal of a rectangular frame = √5,929 + 1,296
Diagonal of a rectangular frame = √7,225
Diagonal of a rectangular frame = 85 inch
The most important thing that you have to know is that all angles in a triangle equals 180°
Answer:
(x+2)^2+1
Step-by-step explanation:
G is shifted 2 to the left and one up. 2 to the left is represented by changing the input by adding 2 to it (as the original is 2 more than the edited), and adding 1 to the end of it adds 1, so our answer is (x+2)^2+1
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
