Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer
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The number that completes the System of Linear Inequalities represented by the Graph y >= 2x – 2 and x + 4y > = is -12. Hence, x + 4y -12
<h3>What is a System of Linear Inequalities?</h3>
A collection of linear inequalities in the same variables is referred to as a system of linear inequalities. Any ordered pair that fulfills all of the inequalities is the solution.
<h3>What is the calculation to prove the above assertion?</h3>Recall that:
- The linear equation with slope m and intercept c is given as follows.
y = mx + c
- The formula for slope of line with points and can be expressed as
m = (y2 - y1)/(x2 - x1)
Given that
The orange line intersects y-axis at (0,-2), therefore the y-intercept is -2.
The orange line intersect the points that are (1,0) and (0, -2).
The slope of the line can be obtained as follows:
m = (-2-0)/(0-1)
= -2/-1
= 2
The slope of the line is m = 2.
Therefore, the orange line is y 2x -2
The blue line intersects y-axis at (0,-3), therefore the y-intercept is -3.
The blue line intersect the points that are (-4, -2) and (0, -3)
The slope of the line can be obtained as follows.
m = (-3-(-2))/(0-(-4))
= (-3 + 2)/4
= - (1/4)
The slope of the line is:
m = -(1/4)
The inequalities is x + 4y b passes through the point (0, -3)
(0) + 4 (-3) = b
-12 =b
Thus, -12 in is the number that completes the system. Hence, x + 4y -12
Learn more about system of inequalities at;
brainly.com/question/9774970
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Answer:
∠AB=9
Step-by-step explanation:
<em>the pyagrothyes therom= </em><em>+</em>
<em>=</em>
<em>to find ∠AB we need to find the height of the triangle.</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>
<em>=</em><em>-</em>
<em>=</em>
<em>simplify:</em>
<em>81-36=</em>
<em>now we solve for ∠AB</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>
<em>simplify:</em>
<em>36+45=</em>
<em>=9</em>
I hope this helps you!!
have a nice day!!
Answer:
The third choice is the one you want
Step-by-step explanation:
If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:
2x + y = -5 so
y = -2x - 5
The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:
Getting rid of the double negatives gives us:
Distributing then gives us:
And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):
And the final equation in slope-intercept form is: