Finding the distance between (-4,2) and (146,52)
Use the distance formula<span> to determine the </span>distance<span> between the two </span>points<span>.
</span><span>Distance= </span>√<span>(<span>x2</span>−<span>x1</span><span>)^2</span>+(<span>y2</span>−<span>y1</span><span>)^2
</span></span>Substitute the actual values of the points<span> into the </span>distance formula<span>.
</span>√<span>((146)−(−4)<span>)^2</span>+((52)−(2)<span>)^2
</span></span>Simplify the expression<span>.
</span>√19400<span>
</span>Rewrite 19400<span> as </span><span><span><span>10^2</span>⋅194</span>.
</span>√10^<span>2⋅194
</span>
Pull terms<span> out from under the </span>radical<span>.
</span>10√<span>194
</span>The approximate<span> value for the </span>distance<span> between the two </span>points<span> is </span><span>139.28389.
</span>
10√<span>194≈139.28389</span>
Answer:
The predicted GPA is then y = 0.149(15) + 0.89 = 3.125
Step-by-step explanation:
Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data: GPA versus number of hours of study per week.
Here, y = 0.149x + 0.89 and the number of study hours of interest is 15.
The predicted GPA is then y = 0.149(15) + 0.89 = 3.125
Each bottle of juice costs $1.05
because 26.91-1.71 = 25.2/24 = 1.05