Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
The slope-intercept form:

The formula of a slope:

We have the points (-4, 47) and (2, -16). Substitute:

Therefore we have:

Put the coordinates of the point (2, -16) to the equation:

Answer: 
Answer:
The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.
Step-by-step explanation:
A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.
In this case:
- (x1, y1): (92, 107)
- (x2, y2): (116, 113)
So:

m= 0.25
substituting the values of m, x1 and y1 in the equation y = mx + b you have:
107= 0.25*92 + b
107 - 0.25*92= b
84=b
<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>
Answer:
B
Step-by-step explanation:
Hope this helps you out! :)