<span>y=x+16
y=-x+4
All you have to do is substitute.
Put the second equation into the first equation.
-x + 4 = x + 16
4 = 2x + 16
-12 = 2x
-6 = x
Now substitute the x into one of the equations to get y.
y = (-6) + 16
y = 10
The solution to these equations is (-6, 10).</span>
Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
I will assume that we are trying to find the slope between (-9,2) and (9, 2)
The slope's equation ⇒ 
<u>Let's set the variables</u>:
(x1, y1) --> (-9, 2)
(x2, y2) --> (9, 2)
<u>Now let's plug them in:</u>
<u>Thus the slope of the line is 0.</u>
Hope that helps!
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
Answer:
315/8 GIVES 39.375.
But 35.375 Is actually a rational number,because it is terminating after 3 decimal places.
Hence its not a rational number
