4x + 3y = 12
3y = -4x + 12
y = -4/3x + 4........so the slope (or gradient) is -4/3...because in y = mx + b form, the slope(gradient) is in the m position and the y int is in the b position....so if u wanted to know the y axis, it would be (0,4)
the x intercept (where the line crosses the x axis) can be found by subbing in 0 for y in the original equation or the slope intercept equation, and solving for x.
4x + 3(0) = 12
4x = 12
x = 12/4 = 3....so the x intercept is (3,0)
Step-by-step explanation:
Hey there!
The given slope is; 3. And passing through point (-7,8).
Now,
Using one point formula.
Put all values to find equation.
Simplify them to get answer.
Therefore the required equation is 3x-y+29=0.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
Step-by-step explanation:
The circumference of a circle with radius is given by . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle is equal to .
Formulas at a glance:
- Circumference of a circle with radius :
- Length of an arc with central angle :
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
Answer:
There is no solution of the system of equations.
Step-by-step explanation:
We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.
Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.
Again, the straight line y = 4 is parallel to the x-axis.
Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)