Answer:
If we call our unknown value x, then we can say that
The "product of 4 and a number" is 4x
The "difference between" 4x and 6 is 4x - 6
Step-by-step explanation:
is slope-intercept form, which is a way of writing an equation for a line.
In this equation,
represents the slope and
represents the y-intercept.
and
are the coordinates of a point on the resulting line.
Here are some examples:




7,,,,,,,,,,,,,,,,,,,,please help
Goryan [66]
Answer:
1
Step-by-step explanation:
The given expression is

Recall and use



Same bases are dividing, so we write one base and subtract the exponent.


Answer:
7/36
Step-by-step explanation:
1 die has 6 faces
When two dice are rolled, the total number of outcomes
= 6 × 6 = 36
The Probability of having(5) =
(1 & 4), (2 & 3) , ( 3 & 2), (4 & 1)
= 4
The probability of having (10) =
(5 & 5), (4 & 6) , ( 6 & 4)
= 3
The probability that the score on the dice is either 5 or 10.
P(5) + P(10)
= 4/36 + 3/36
= 7/36
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 =