Hey there!
Distance formula:
d =
Plug in variables:
d =
Simplify.
d =
d =
The distance between the two points is units.
Hope this helps!
PLZZZ ANSWER ASAP!!!
1 answer:
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Answer:
x = -10
Step-by-step explanation:
We just have to translate the problem correctly
>8 times a number is the same
this tells me that
>as 30 less than 5 times the number.
Now set them equal to eachother
Now isolate the variable x
Answer:
L.S = R.S ⇒ Proved down
Step-by-step explanation:
Let us revise some rules in trigonometry
- sin²α + cos²α = 1
- sin2α = 2 sin α cosα
- cscα = 1/sinα
To solve the question let us find the simplest form of the right side and the left side, then show that they are equal
∵ L.S = csc2α + 1
→ By using the 3rd rule above
∴ L.S = + 1
→ Change 1 to
∴ L.S = +
→ The denominators are equal, then add the numerators
∴ L.S =
∵ R. S =
∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α
∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα
→ By using the 1st rule above, equate sin²α + cos²α by 1
∴ (sinα + cosα)² = 1 + 2 sinα cosα
→ By using the 2nd rule above, equate 2 sinα cosα by sin2α
∴ (sinα + cosα)² = 1 + sin2α
→ Substitute it in the R.S above
∴ R. S =
∵ L.S = R.S
∴ csc 2α + 1 =