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Marysya12 [62]
2 years ago
14

The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the

Mathematics
1 answer:
zaharov [31]2 years ago
5 0
Heygebjfynkoikjshndncu
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What number needs to be added to 5 and 3 so that the ratio of the first number to the second
Mashcka [7]

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

\frac{5+x}{3+x}=\frac{4}{3}

"Cross-multiply."

3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

5 0
2 years ago
Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)​
denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ \frac{2[g(x)]}{2} = \frac{10x}{2} + \frac{4}{2}

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0
2 years ago
Find values for the the entries in the second matrix to satisfy this equation:
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

number of columns of A=number of rows of B

number of rows of A=number of rows of C

7 0
3 years ago
The LCM and the GCF of two numbers is 120 and 8 respectively. If the first number is 24, find the other number​
Ivanshal [37]

Answer: The other no. is 5

Step-by-step explanation: Let the other no. be x

x = LCM/First no.

x = 120/24 = 5

The other no. is 5

7 0
3 years ago
An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet a
Kipish [7]
4 i belive altho  i could be way wrong
4 0
3 years ago
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