Answer:
13 31/40
Step-by-step explanation:
1) convert both fractions into improper fractions (you can do so by multiplying the whole number by the denominator/bottom part and then adding that to the numerator/top part)
by doing this, you will get 51/8 and 37/5
2) since you need a common denominator in order to add the two fractions, multiply the top and bottom of 51/8 by 5. Then, multiply the top and bottom of 37/5 by 8.
3) Then, add the top numbers together and your answer will be 551/40, which can be simplified into 13 31/40
I hope this helps!
Answer:
U can determine that lines e and f are not parallel
Step-by-step explanation:
By remembering vertical angles, u can find all the angles for the diagram. The top are: 110, 70, 70, 110. The bottom four are: 105, 75, 75, 105. As u can see they're not the same so the lines cannot be parallel
The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>
The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
Read more about line segments at
brainly.com/question/17374569
#SPJ1
Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
