3 years ago

Question 7

Mathematics

1 answer:

Elina [12.6K]3 years ago

5 0

D is right because there is not tire

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QUESTION 1 1 POINT Factor: 27m3 64. Provide your answer below: Content attribution

pickupchik [31]

Answer:

$\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}$

Step-by-step explanation:

$\sf{27 {m}^{3} - 64}$

$\dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}$

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

$\longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})$

$\longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})$

Hope I helped!

Best regards! :D

5 0

3 years ago

Determine the y-intercept of the graph of this equation: y - 3 = 2(x + 5)

dimaraw [331]

Answer:

y intercept is 13

Step-by-step explanation:

y - 3 = 2(x + 5)

To find the y intercept, let x=0 and solve for y

y - 3 = 2(0 + 5)

y - 3 = 2(5)

y -3 =10

y-3+3 = 10+3

y = 13

8 0

2 years ago

The measure of the exterior angle of the triangle is what degree?

RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

$(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree$