Answer: f(x) = -3/2x -2
Step-by-step explanation:
Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.
The measure of angle BOC is 41 degrees
<h3>How to determine the measure of BOC?</h3>
The angles are given as:
<AOD = (5x - 4)° and BOC = (4x + 5)°
The angles are vertical angles.
So, we have:
(5x - 4)° = (4x + 5)°
Remove the bracket
5x- 4 = 4x + 5
Collect the like terms
5x - 4x = 4 +5
Evaluate the like terms
x = 9
Substitute x = 9 in BOC = (4x + 5)°
BOC = (4 * 9 + 5)°
Evaluate
BOC = 41°
Hence, the measure of angle BOC is 41 degrees
Read more about vertical angles at:
brainly.com/question/14362353
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<u>Complete question</u>
Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?
Answer:b
Step-by-step explanation: i tried it and worked
Step-by-step explanation:
Hey there!
Given;
The line passed through point (8,4) and made slope (-3/4).
<u>Note</u><u>:</u><u> </u><u>Use</u><u> </u><u>one-po</u><u>int</u><u> formula</u><u>.</u>
Put all values.
<u>There</u><u>fore</u><u>,</u><u> </u><u>the</u><u> </u><u>equation</u><u> is</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>3</u><u>/</u><u>4</u><u>x</u><u> </u><u>+</u><u>1</u><u>0</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>he</u></em><em><u>lps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
<h3>
Answer: Choice B 6x^3-4x^2-8x-16</h3>
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Work Shown:
(3x^2+ 4x+4)(2x-4)
(2x-4)(3x^2+4x+4)
y(3x^2+4x+4) ...... let y = 2x-4
y(3x^2)+y(4x)+y(4) .... distribute
3x^2(y) + 4x(y) + 4(y)
3x^2(2x-4) + 4x(2x-4) + 4(2x-4) .... replace y with 2x-4
3x^2*2x+3x^2(-4)+4x(2x)+4x(-4)+4(2x)+4(-4) .... distribute
6x^3-12x^2+8x^2-16x+8x-16
6x^3-4x^2-8x-16
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Below is a diagram which might help you keep track of all the terms
Each cell is the result of multiplying the outer red and green terms. Example: Row 1, column 2 has 2x times 4x = 8x^2 (due to the 2x and 4x outside)