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2 years ago

A straight line joins the points (-1, -4) and (3, 8)

Mathematics

1 answer:

meriva2 years ago

8 0

Answer:

i)(2,4)

ii)y=3x+c

Step-by-step explanation:

I. minus them from each other

ii. draw out the graph to find the gradient, which is rise over run, this is your m and c can be any number since it is a never ending straight line.

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Name all of the properties of a parallelogram and its diagonal

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Answer: sides across from each other are parallel

- Diagonals bisect each other

- opposite sides are congruent

- opposite angles are congruent

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3 years ago

An object starts from rest and accelerates at a rate of 3.0 meters per second2 for 6.0 seconds. The velocity of the object at th

Nat2105 [25]

a= v-u/t

3 = v-0/6

3 = v/6

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3 years ago

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2 years ago

How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?

lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

$Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}$

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

$Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}$

Volume = 315/32 inches

Therefore, to find the amount of cubes;

$Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}$

Substituting into the equation, we have;

$Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}$

$Number \; of \; cubes = \frac {315}{32} * 64$

$Number \; of \; cubes = 315 * 2$

Number of cubes = 630

6 0

2 years ago

Read 2 more answers

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

5 months ago