Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees
Answer:
The lcm is 48. Hope this helps
3/4=6/8
6/8 + 3/8 = 9/8
9/8=1 and 1/8
Answer: Raquel made 1 and 1/8 of hot chocolate
Scarlet is leaning a 12 foot ladder. When you lean a 12 foot ladder, it is s slanted so we will make 12 our slanted side or hypotenuse. It makes a 80 degree angle after contact with the ground so it will be on the lowest angle on the right. We are asked to find the vertical side or how high up the ground is. We are asked to a angle that is opposite of the given angle which is x .. And we are also given the hypotenuse. We are going to use sin using our SOHCAHTOA

Where there is our given angle.
Let plug it in

Multiply 12 by both sides and we get

Which about 11.8 if rounded to nearest tenth or 11.82 if rounded to nearest hundredth.
IF ROUNDED TO NEAREST TENTH, 11.8
IF ROUNDED TO NEAREST HUNDRETH, 11.82
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation
, then, the slope is given by

Hence, the slope is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-2,3) and the slope
, in the above formula, we get,

Simplifying, we get,



Therefore, the equation of the line is 