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2 years ago

Find the equation of a line that passes through the point (0,4) and has a gradient of 2.

Mathematics

1 answer:

valina [46]2 years ago

6 0

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

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2 years ago

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2 years ago

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Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

Represent the number with x

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

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3 years ago

Find the area of each face of the triangular prism and the total surface area.

Mashutka [201]

Answer:

area of each triangular base = 24

area of bottom rectangular face = 160

area of back rectangular face = 120

area of sloped rectangular face = 200

Total = 504

Step-by-step explanation:

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3 years ago