![Slope= \frac{y_2-y_1}{x_2-x_1} = \frac{-\frac{9}{2} - (-1)}{-2- (-\frac{5}{3})}=\frac{ - \frac{9}{2} + 1}{-2 + \frac{5}{3}} \\= \frac{ - \frac{7}{2}}{ - \frac{1}{3}} \\= \frac{ - \frac{7}{2}\cdot6}{ - \frac{1}{3}\cdot6} \\=\frac{-21}{ -2} \\ =\boxed{\bf{ \frac{21}{2}}}](https://tex.z-dn.net/?f=Slope%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%20%5Cfrac%7B-%5Cfrac%7B9%7D%7B2%7D%20-%20%28-1%29%7D%7B-2-%20%28-%5Cfrac%7B5%7D%7B3%7D%29%7D%3D%5Cfrac%7B%20-%20%5Cfrac%7B9%7D%7B2%7D%20%2B%20%201%7D%7B-2%20%2B%20%20%20%5Cfrac%7B5%7D%7B3%7D%7D%20%5C%5C%3D%20%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%20%5C%5C%3D%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%5Ccdot6%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot6%7D%20%5C%5C%3D%5Cfrac%7B-21%7D%7B%20-2%7D%20%20%5C%5C%20%20%3D%5Cboxed%7B%5Cbf%7B%20%5Cfrac%7B21%7D%7B2%7D%7D%7D)
So... none of your answers are correct. The correct answer is
21/2.
Given:
M is the mid-point of RS
N is the mid-point of ST
MN = 18.4
To find:
The length of RT.
Solution:
The reference image is attached below.
Joining mid-point M and N, we get mid-segment MN.
MN is parallel to RT.
Triangle mid-segment theorem:
If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.
![$\Rightarrow MN=\frac{1}{2} RT](https://tex.z-dn.net/?f=%24%5CRightarrow%20MN%3D%5Cfrac%7B1%7D%7B2%7D%20RT)
Substitute MN = 18.4
![$\Rightarrow 18.4 =\frac{1}{2} RT](https://tex.z-dn.net/?f=%24%5CRightarrow%2018.4%20%3D%5Cfrac%7B1%7D%7B2%7D%20RT)
Multiply by 2 on both sides.
![$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT](https://tex.z-dn.net/?f=%24%5CRightarrow%202%5Ctimes%2018.4%20%3D2%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20RT)
![$\Rightarrow 36.8=RT](https://tex.z-dn.net/?f=%24%5CRightarrow%2036.8%3DRT)
The length of RT is 36.8.
Answer:
(a) So the top of the hill is 365 feet above sea level.
(b) Checkpoint 5 is 185 feet higher than checkpoint 2.
Step-by-step explanation:
<u>Solution for (a):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
The top of a hill rises 583 feet above Checkpoint 2.
The altitude of the top of the hill = -218 + 583 = 365
So the top of the hill is 365 feet above sea level.
<u>Solution for (b):</u>
<u />
Checkpoint 2 is -218 feet above sea level.
Checkpoint 5 is -33 feet above sea level.
Checkpoint 5 is -33 - -218 = 185 feet higher than checkpoint 2.
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.