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3 years ago

Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.

Mathematics

1 answer:

MAVERICK [17]3 years ago

6 0

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1 x2 - x1

y - 5 = 13 - 5 = 8/2 = 4 x - 2 4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

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worty [1.4K]

Answer:

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3 years ago

3 A piece of ibbon of lengh 84 cm is divided

xxMikexx [17]

Add the 3 ratio portions together: 1 + 4 + 7 = 12

Divide total length by 12:

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Multiply each ratio portion by 7:

1 x 7 = 7

4 x 7 = 28

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3 years ago

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Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1

Tcecarenko [31]

Answer:

$\dfrac{6750}{7}$

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make $\dfrac{x}{10}$ flowers in an hour. If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make $\dfrac{x}{15}$ flowers in an hour.

The groups decided to work together. They can make $\dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6}$ together in an hour and it takes them $\dfrac{x}{\frac{x}{6}}=6$ hours. Group B took a break for 1 hour and 40 minutes ( $1\dfrac{2}{3}$ hour), then Group B works

$6-1\dfrac{2}{3}=4\dfrac{1}{3}$ hours.

Thus,

$\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.$

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3 years ago

If one factor of x2 + 2x - 24 is (x+6), what is the other factor?

steposvetlana [31]

Answer:

( x - 4)

Step-by-step explanation:

x² + 2x - 24

From here, you must find the two factors of -24 (the first and third terms' coefficients multiplied together) that add up to 2 (the middle terms coefficient)

( x - 4) ( x + 6)

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3 years ago

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miskamm [114]

Answer:

The answer is 50.24

Step-by-step explanation:

C=2Лr

C=16Л

C=50.24

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3 years ago