1. Take the 4x and add it to the 6x = 10x (always do x first, makes it easier)
2. Subtract 45 from -105 = -150
3. Divide 10 from -150 = -15
4. x is less than or equal to -15

6 0

4 years ago

What will be the new coordinates of (3, -1) if it is reflected across the y-axis

Vaselesa [24]

Answer:

(-3,-1)

Step-by-step explanation:

7 0

3 years ago

How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:

borishaifa [10]

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

$V_{s}=\frac{4}{3} \pi r^{3}$

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

$V_{c}=\pi r^{2}h$

but h = 2r

Hence we have

$V_{c}= 2\pi r^{3}h$

We can divide the two volumes to get a constant that links them together

$\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}$

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

3 0

4 years ago

Let A and B be sets with cardinal numbers , n(A) = a and n(B) = b respectively . Decide whether the statement is true or false.

olya-2409 [2.1K]

Answer:

True

Step-by-step explanation:

$A\cup B=A\cup(A-B)\\\\A\ and\ A-B\ are\ disjoint\ that\ means\ there\ is\ no\ common\ element\ in\ these\ two.\\\\n(A\cup B)=n(B\cup(A-B))\\\\n(A\cup B)=n(B)+n(A-B)\ \ \ \ \ \ \ as\ for\ disjoint\ set\ P,Q\ n(P\cup Q)=n(P)+n(Q)\\\\(n(P-Q)=n(P)-n(P\cap Q))\\\\n(AUB)=n(B)+n(A-B)\\\\n(AUB)=n(B)+n(A)-n(A\cap B)\\\\n(AUB)=n(A)+n(B)-n(A\cap B)\\\\Hence\ given\ statement\ is\ true$

4 0

3 years ago