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harkovskaia [24]
3 years ago
6

Complete the next steps using the distributive property please help me

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

a.

98 · 24

(100 - 2) · 24

2400 - 48 = 2352

b.

21 · 15

(20 + 1) · 15

300 + 15 = 315

c.

0.51 · 40

(0.5 + 0.01) · 40

20 + 0.4 = 20.4

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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
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Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

<h3>What are trigonometric functions?</h3>

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = \sqrt{13^{2} - 12^{2}  } = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = cos^{2}∅ - sin^{2}∅ = (\frac{12}{13}) ^{2} - (\frac{5}{13} )^{2} = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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4 0
1 year ago
A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slo
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 y-y1 x-x1 -------- = ------- y2-y1 x2-x1 
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 why: To form an linear equation for a line, you must remember 2 things 
****First find its gradient, second, find the y-intercept. 
General equation for a line: y = mx + c, where m = gradient, and c = y-intercept. 
Gradient, m = {7 - (-5)} / {(-3) - 1} = - 3 
To find the y-intercept, you must use one of the point (-3, 7) or (1, -5) and substitute the value of x and y from the coordinate u choose into the general equation y = mx + c. 
I choose (1, -5), so -5 = -3(1) + c -5 = -3 + c -5 + 3 = c -2 = c 
Thus, 
the equation in slope-intercept form is y = -3x - 2. 
the equation in standard form is y + 3x + 2 = 0 
the equation in point-slope form is y + 3x = -2 divide both sides with -2 y / (-2) + 3x / (-2) = -2 / -2 - y / 2 - x / (2/3) = 1

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Please help me!!<br> Show workings.
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The data in the table shows the population P(x) of a particular species at time x. Determine a linear model and predict the popu
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The regression equation that shows the population P(x) is given as follows:

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<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

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The prediction for the population in year 88 is given by:

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