Hello :
<span>X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12
</span><span>The x-coordinate of the solution to the system shown is __6___.</span>
Hello :
answer : <span>D. (Y-1)=2(x+2)
because :
if x=1 ... y =7
if : x= -2 .... y= 1
the slope is : (1-7)/(-2-1) = -6/-3=2</span>
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
Answer:
The statement is true.
Step-by-step explanation:
Given the statement we have to tell the statement is true or false.
The statement is
"The circumcenter of a triangle is the center of the only circle that can be circumscribed about it"
The circumcenter of triangle is the point in the triangle where the perpendicular bisectors of sides intersect.
The center of the circumscribed circle is the the point where the perpendicular bisectors of the sides meet.
Hence,
The circumcenter is also center of the triangle's circumcircle - the circle that pass through all three of the triangle's vertices.
Therefore, the given statement is true.
