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4 years ago

Line CD passes through (0.1) and is parallel to x +y = 3. Write the standard form of the equation of line CD.

Mathematics

1 answer:

Drupady [299]4 years ago

3 0

Answer:

y = -x + 1

Step-by-step explanation:

We are asked to find the equation of a line parallel to

x + y = 3

Step 1: find the slope

x + y = 3

Following the equation of a line

y = mx + c

3 - x = y

-x + 3 = y

y = -x + 3

Slope m = -1

Step 2: substitute m = -1 into the equation

y - y_1 = m( x - x_1)

Using the point ( 0 , 1)

x_1 = 0

y_1 = 1

y - 1 = m( x - 0)

m = -1

y - 1 = -1 ( x - 0)

Open the bracket

y - 1 = -1x + 0

y - 1 = -x

y = -x + 1

The equation of the line is

y = -x + 1

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How do i graph the lines when the equations aren’t in slope intercept form????

jekas [21]

Slope-Intercept Form: y=mx+b

Standard Form: ax+by=c

Point- Slope: (y-y1)= m(x-x1)

There are multiple answers to your question-

If you are only missing b(the y-intercept) but are given a set of points, plug the points into x and y and solve for b.
If you are only missing the slope(m) but are given a set of points, plug the points into x and y and solve for m.
If you are given the standard form/point-slope form, change the equation to slope intercept form.
If you are given an complete form(there is an x and y; no missing variables), but are not sure what it is, plug in some numbers in x to find y, then graph.

7 0

3 years ago

Please help me with this question

swat32

Answer:

<h3>• y is 10.9</h3><h3>• theta is 65.4°</h3><h3>• Alpha is 24.64°</h3><h3>• sin theta is 10.9/12</h3><h3>• COS theta is 5/12</h3><h3>• tan theta is 10.9/5</h3><h3>• csc theta is 12/10.9</h3><h3>• ces is 12/5</h3><h3>• cot theta is 5/10.9</h3>

Step-by-step explanation:

<h3>Solution 1</h3>

Using the Pythagorean theorem

c²= a² + b², where c is the hypotenuse , a And b are the sides.

12² = y² + 5²

144 = y² + 25

144 - 25 = y²

√119 = √y²

10.9 = y

<h3>Solution 2</h3>

Using SOH-CAH-TOA

COS theta = Adjacent/Hypothesis

COS theta = 5/12

COS theta = 0.417

theta = COS-1 0.417

theta = 65.4°

<h3>theta is 65.4°</h3>

<h3>Solution 3</h3>

We are dealing with right triangle and it sum is 90.

To find Alpha subtract theta for 90

Alpha = 90 - 65.4 = 24.64°

<h3>Therefore Alpha is 24.64°</h3>

<h3>Solution 4</h3>

Using SOH-CAH-TOA

sin theta = opposite/ hypotenuse

sin theta = 10.9/12

<h3>sin theta is 10.9/12</h3>

<h3>Solution 5</h3>

Using SOH-CAH-TOA

COS theta = Adjacent/Hypothesis

COS theta = 5/12

<h3>COS theta is 5/12</h3>

<h3>Solution 6</h3>

Using SOH-CAH-TOA

tan theta = opposite/adjacent

tan theta = 10.9/5

<h3>tan theta is 10.9/5</h3>

<h3>Solution 7</h3>

csc theta is the reciprocal of sin theta

csc theta = 12/10.9

<h3>csc theta is 12/10.9</h3>

<h3>solution 8</h3>

ces theta is the reciprocal of COS theta.

ces theta = 12/5

<h3>Solution 9 </h3>

cot theta is the reciprocal of tan theta

cot theta = 5/ 10.9

<h3>cot theta is 5/10.9</h3>

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Is the expression below completely factored? If not, complete the factorization.

Ket [755]

Answer:

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Step-by-step explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

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