Answer:
y = - 10x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here slope m = - 10, hence
y = - 10x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 10 + c ⇒ c = 4 - 10 = - 6
y = - 10x - 6 ← equation of line
Answer:
B) 1
Step-by-step explanation:
Given:
We need to solve the given expression.
Now We know that when base of the exponents then the law of indices applied for the same.
Now According to Law of Indices.
On Solving the above expression we get;
Hence The Simplified form of given expression is 1.
Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
Answer:
6°F
Step-by-step explanation:
Given that:
Temperature at 11pm = 48°F
Temperature at 7am = 6° cooler
Temperature at 11am = 48°F
Number of degrees temperature changed from 7am to 11 am
Exact temperature at 7am = (temperature at 11 pm - 6°)
= 48°F - 6°F
= 42°F
Temperature change from 7am to 11am
Temperature at 11 am - temperature at 7am
48°F - 42°F
= 6°F
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant
