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2 years ago

The line l passes through the points (-2,2) and (5,1) Find the gradient of line l

Mathematics

1 answer:

crimeas [40]2 years ago

5 0

Step-by-step explanation:

gradient (m) = y2 - y1 / x2 -x1.

(-2 =x1, 2 =y1) and ( 5 = x2 , 1 = y2).

plug in the values and solve...

m = 1-2 / 5-(-2)

m = -1 / 5+2

m = -1/7 or -0.14.

Hope this helps.

Good luck.

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The function f(x) is to be graphed on a coordinate plane.

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3 years ago

Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71

Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17) = 71 (*)

Use common factor (17*14*4 = 952) as the denominator to combine terms:

1/4 = (17*14)/ 952 = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952 = 56/952

so 1/4 + 1/14 + 1/17 = (238 + 68 + 56)/ 952 = 362/952 = 181/476

Substituting in (*) gives

x ( 181/476) = 71 => multiply both sides by 476/181

x = (71 * 476)/181 => 71* 476 =33769

x = 33769/181

Thank you,

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3 years ago

Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each

Wittaler [7]

Answer:

3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

$\dfrac{3}{4}\div 5$

Convert the whole number 5 into fraction using 1 as denominator:

$\dfrac{3}{4}\div \dfrac{5}{1}$

Transform the division into multiplication changing the divisor into its reciprocal:

$\dfrac{3}{4}\times \dfrac{1}{5}$

Multiply numerator with numerator and denominator with denominator:

$\dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer$

7 0

4 years ago