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1 year ago

1) A line with gradient 2 passes through (0, 4). Write down the equation of the line.

1 answer:

7 0

For the attached image, note that slope is the same thing as gradient.

1) y = 2x + 4

2) Substituting in x = 1 and y = 1,

1 = 4(1) + c

1 = 4 + c

c = -3

So, the equation is y = 4x - 3

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Work out the size of angle X.

larisa [96]

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

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2 years ago

Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (-7,3) and (-8,-9).

Illusion [34]

Answer:

12x -y = -87

Step-by-step explanation:

You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-9 -3)/(-8 -(-7))(x -(-7)) +3

y = (-12/-1)(x +7) +3

y = 12x +84 +3

-12x +y = 87 . . . . . subtract the x-term

12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)

3 0

2 years ago

Does anyone know how to do this

Doss [256]

Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

Step-by-step explanation:

Considering the quadrilateral with vertices

d(0,0)

i(5,5)

n(8,4)

g(7,1)

Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.

From the figure a, it is clear that the quadrilateral has

Two pairs of sides

Each pair having two equal-length sides which are adjacent

The angles being equal where the two pairs meet

Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half

Please check the attached figure a.

4 0

3 years ago

2 questions in one. Help?..

daser333 [38]

Answer:

2. 3

3. 4^45

Step-by-step explanation:

${ ({5}^{4} ) }^{m} = {5}^{12} \\ = > {5}^{4m} = {5}^{12} \\ = > 4m = 12 \\ = > m = \frac{12}{4} \\ = > m = 3 \\ \\ number \: of \: books \: at \: library \\ = {({4}^{9})}^{5} \times {4}^{0} \\ = {4}^{45} \times 1 \\ = {4}^{45}$

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2 years ago

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What are the multiples of 4

N76 [4]

1 and 2 are the factors its a compatable number

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3 years ago

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