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Norma-Jean [14]
3 years ago
5

Reduce the ratio to its lowest form. 42 : 49

Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

6:7

Step-by-step explanation:

divide both sides by 7...

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Let T:R²->R² be a linear transformation ,and assume that T (1,2)=(-1,1) and T(1,-1)=(2,3)
zavuch27 [327]

Answer:

(-4,-1)

Step-by-step explanation:

We are given T(1,2)=(-1,1) and T(1,-1)=(2,3) and T is a linear transformation.

This implies for scalars a and b that

T(a(1,2)+b(-1,1))=aT(1,2)+bT(-1,1)

T((a,2a)+(-b,b))=a(-1,1)+b(2,3)

T((a-b,2a+b))=(-a,a)+(2b,3b)

T((a-b,2a+b))=(-a+2b,a+3b)

This means we should be able to solve the system below to find a and b for T(3,3):

a-b=3 and 2a+b=3

Add equations to eliminate b and solve for a:

3a=6

Divide 3 on both sides:

a=2

If a-b=3 and a=2, then b=-1.

Plug in a=2, b=-1:

T((a-b,2a+b))=(-a+2b,a+3b)

T((2--1,2×2+-1)=(-2+2×-1,2+3×-1)

T(3,3)=(-4,-1).

4 0
3 years ago
16 - (1 - 5x) - 4x-29
Lera25 [3.4K]
-14 + x

Is the correct answer
4 0
3 years ago
Read 2 more answers
A square fits exactly inside a circle with each of the vertices being on the circumference of the circle. The square has sides l
NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. \sqrt{2}x= 2r    [Diagonal of square = \sqrt{2}(side)]

i.e. r=\dfrac{x}{\sqrt{2}}

area of circle =\pi r^2

i.e. 56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2

56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970

Hence, the value of x is 5.970.

4 0
4 years ago
I need help on number 3
MatroZZZ [7]
The first step is to turn the 3 1/5 into an improper fraction, and then change it so that the denominator is 10, just like the 4/10, I'm order to make it easier to divide. then you divide 32 by 4 to get 8.

4 0
4 years ago
Find the average rate of change for f(x) = x2 + 9x + 18 from x = -8 to x = -2.
aksik [14]
Need more information!!!!
5 0
4 years ago
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