Ok, so the quadratic coefient is 1, so great
take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2
x=-5+4√2 and -5-4√2
10cm
5cm is shown above all u gotta do is multiply by two OR add 5+5 to get 10 cm.
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Two linear equations can have no solutions, exactly one solution or infinitely many solutions. There will be no solution if the lines are parallel on a graph. There will be exactly one solution if the lines intersect each other on a single point. And finally, there will be infinite solutions if the lines overlap each other perfectly.
A single line however has infinite ordered pair solutions as the line travels infinitely in both directions on the coordinate plane. For example, using the equation y=3x, for any real value of x, we will get a real value for y.
Linear inequalities with two variables have infinitely many solutions. We can use the inequality y>3x as an example. For any real value of x, we will get a real value for y.
I hope this helps!
Answer:
45 sq. units
Step-by-step explanation:
We can draw a segment from F to S, splitting this figure into a rectangle and a triangle.
The area of a rectangle is given by the formula A=lw, where l is the length and w is the width.
The width of this figure is the distance of FW; this is 2. The length of this figure is the distance of WC; this is 9. This makes the area of the rectangle A=2(9) = 18 sq. units.
The area of a triangle is given by the formula A=1/2(b)(h), where b is the base and h is the height.
The base of the triangle is given by the distance of FS; this is 9. The height of the triangle is given from N to segment FS; this is 6. This makes the area of the triangle A=1/2(6)(9) = 27 sq. units.
This makes the total area 18+27 = 45 sq. units.
