Answer: 
.
Step-by-step explanation:
Given problem : 
First we convert mixed fraction into improper fractions as
Now , plug these values in the given expression , we get
![\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}](https://tex.z-dn.net/?f=%5Cleft%28-5%5Cdfrac%7B5%7D%7B6%7D%5Cright%29%5Cdiv%5Cleft%28-4%5Cdfrac%7B9%7D%7B10%7D%5Cright%29%3D-%5Cdfrac%7B35%7D%7B6%7D%5Cdiv%5Cleft%28-%5Cdfrac%7B49%7D%7B10%7D%5Cright%29%5C%5C%5C%5C%3D%5Cdfrac%7B-35%7D%7B6%7D%5Ctimes%5Cdfrac%7B-10%7D%7B49%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20Property%20of%20fraction%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B350%7D%7B294%7D%5C%5C%5C%5C%3D%5Cdfrac%7B25%7D%7B21%7D%3D1%5Cdfrac%7B4%7D%7B21%7D)
Hence, the answer is .
The first picture about the rational numbers I am not sure the answer.
In the second picture the set that are all equivalent to the fraction is the second set.
In the third picture
the equivalent expression is the first one.
In the fourth picture the correct situation is the first one about buying popcorn.
Hope this helps a little, sorry I could not help more.
Answer:
For Lin's answer
Step-by-step explanation:
When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.
Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.
Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.
Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
Answer:
(x, y) ⟶ (x + 4, y + 2)
Step-by-step explanation:
If you shift a point four units to the right, x ⟶ x + 4.
If you shift it up two units, y ⟶ y + 2.
If you combine the two shifts into one transformation, the rule becomes
(x, y) ⟶ (x + 4, y + 2)
