Answer:
.
Step-by-step explanation:
It is given that Point A is at (-5, -4) and point B at (-3, 3).
We need to find the coordinates of the point which is 3/4 of the way from A to B.
Let the required point be P.


It means, point P divides segment AB in 3:1.
Section formula: If a point divides a line segment in m:n, then

Using section formula, we get




Therefore, the required point is
.
We sketch two triangles, DFE and DGH, as shown below
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS
Answer:
2k
Step-by-step explanation:
Add:
-k + 3k
or
-1k + 3k
2k
(You have to add -1 + 3)
Hope this helps :)
Answer:
Step-by-step explanation:
<em>Cost of game = $120</em>
<em>Current savings = $30</em>
<em>Rate for babysitting (per hour) = $5/hour</em>
<em></em>
<em>So, required equation is :-</em>
<em>120 = 5h + 30</em>
<em>5h = 90</em>
<em>h = 18</em>
<em></em>
<em>She must make $90 by babysitting for 18 more hours.</em>
Answer:
16
Step-by-step explanation:
=
multiplied by 
so
= 16