Answer: 2x + 5y = -5
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope.
The equation of the line given :
2x + 5y = 10
To find the slope , we will write it in the form y = mx + c , where m is the slope and c is the y - intercept.
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10/5
y = -2/5x + 2
This means that the slope is -2/5 ,the line that is parallel to this line will also have a slope of -2/5.
using the formula:
= m (
) to find the equation of the line , we have
y - 1 = -2/5(x -{-5})
y - 1 = -2/5 ( x + 5 )
5y - 5 = -2 ( x + 5 )
5y - 5 = -2x - 10
5y + 2x = -10 + 5
therefore :
2x + 5y = -5 is the equation of the line that is parallel to 2x + 5y = 10
Answer:
5.6 x 5.6 x 6.16 x 6.16=1190
Step-by-step explanation:
5.6 x 5.6 x 6.16 x 6.16=1189.974016
Rounded up will be 1190.
9514 1404 393
Answer:
(x, y) = (3, 2)
Step-by-step explanation:
The attached graph shows the solution.
(x, y) = (3, 2)
Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
where:
is the angle- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- = ∠KLM
- A = LN = 8
- H = KL = 15.2
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
Given:
- r = 15.2
- ∠KLM = 58.24313614°
Answer:
Option (A).
Step-by-step explanation:
Option (A).
All whole numbers are integers.
True.
Option (B).
Whole numbers and integers have no element in common.
False. All whole numbers are integers. Therefore, whole numbers are contained in integers on Venn diagram.
Option (C).
All integers are whole numbers.
False. All whole numbers are integers.
Option (D).
Some whole numbers are integers.
False. All whole numbers are integers.
