Answer:
The scale factor is 1/5.
Step-by-step explanation:
You can find the side length of triangles by looking at the points or it might be easier to see if you look at the graphs that I have attached. I can see that the legs of the small triangle are 3 and the legs of the large triangle are 15. What do I need to multiple 3 by to get 15? 5. That is the scale factor from the little triangle to the big triangle. If I go the other way, the scale factor is the reciprocal of 5 or 1.5
÷
equals
.
First, convert
to improper fraction. Use this rule:
=
. Your problem should look like:
÷
.
Second, simplify 2 x 8 to get 16. Your problem should look like:
÷
.
Third, simplify 16 + 3 to get 19. Your problem should look like:
÷
.
Fourth, convert
to improper fraction. Use the same rule as earlier. Your problem should look like:
÷
.
Fifth, simplify 4 + 1 to get 5. Your problem should look like:
÷
.
Sixth, apply this rule: a ÷
= a ×
. Your problem should look like:
×
.
Seventh, apply this rule:
×
=
. Your problem should look like:
.
Eighth, simplify 19 × 4 to get 76. Your problem should look like:
.
Ninth, simplify 8 × 5 to get 40. Your problem should look like:
.
Tenth, simplify. Your problem should look like:
.
Eleventh, convert to mixed fraction. Your problem should look like:
which is the answer.
Answer as mixed number form:
.
Answer as exact form:
.
Answer as decimal form: 1.9.
Answer:
y = -4
Step-by-step explanation:
We can find the equation of a line that goes through two given points on the plane by finding 1) the slope of the segment that joints the two points, and using the coordinates of one of the given points, and use this information in the "point-slope" form of the line.
To find the slope of the segment that joins the two points, we use the general equation for the slope given two coordinate pair points as:
In our case, using the given (-3,-4) as , and (1,-4) as , we get the following slope:
Therefore, the slope is zero (this means we are dealing with a horizontal line.
Now we complete the work by using the point-slope form of a line which is:
Using one of the given points (let's say (1,-4) as , and the slope (0) that we just obtained, we get the following equation for the line in question:
So y = -4 is the expression for the line
Answer:
True
Explanation:
For two triangles to be congruent:
1- each side in the first triangle must be congruent to the corresponding side in the second triangle
2- each angle in the first triangle must be congruent to the corresponding angle in the second triangle.
Now applying the above dilation:
(x,y) ...........> (4x,4y)
We would note that the side lengths of the dilated triangle are larger than those of the original triangle.
Therefore, the first condition for congruency is not satisfied.
This means that dilation would cancel the congruency between the two triangles.
Hope this helps :)