Answer:
<h2>-1/5</h2>
Step-by-step explanation:
Starting at -3/5 you need to subtract -2/5.
When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.
<em>+ + = +</em>
<em>- - = -</em>
<em>+ - = -</em>
<em>- + = -</em>
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This means -3/5 - -2/5 becomes -3/5 + 2/5.
Because you are adding, you move two lines to the right on the number line.
You end at -1/5.
The slope is 2 and the equation of the line is y = mx+b with m =2
Then the equation becomes: y = 2x+b. How to calculate b?
Since this line passes through the point (-3 , 4), we replace x with -3 and y=4
4= 2.(-3) + b
4 = - 6 + b
and b= 10. The final equation is : y = 2x + 10 (answer a)
Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
The space shuttle makes an ORBIT
