X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)
Answer:
<h3>x = -3</h3>
Step-by-step explanation:
First let us get the equation of the coordinates
y-y0 = m(x-x0)
Using the coordinates ( - 3, 2 ), ( - 1, 0 )
m = 0-2/-1-(-3)
m = -2/2
m = -1
Substitute m = -1 and (-1, 0) into the formula
y - 0 = -1(x+1)
y = -x-1
f(x) = -x-1
Since f(x) = 2
2 = -x-1
-x = 2+1
-x = 3
x = -3
Hence the value of x is -3
Answer:
The x coordinate of S is b.
Step-by-step explanation:
a)
The coordinates of Point Q are:
(2a+2b)/2, 2c/2
= [(a + b), c].
The slope of the line AB
= (0-2c)/(2b-2a)
= -c/(b-a)
So The slope of the line QS = (b - a) / c = (b - a)/c.
Its equation is
y - c = (b - a)/c ( x - (a+b))
y = (b - a)/c ( x - (a+b)) + c.
The coordinates of Point P are:
(2a+0)/2, 2(c+ 0)/2
= (a, c)
The slope of the line AO
= (2c)/2a
= c/a
So The slope of the line PS = -a/c
Its equation is
y - c = -a/c(x - a)
y = -a/c(x - a) + c
b)
So:
(b - a)/c ( x - (a+b)) + c
= -a/c(x - a) + c
(b - a)(x - a - b) + c^2 = -a(x - a) + c^2
(b - a)(x - a - b) = -a(x - a)
bx - ab - b^2 - ax + a^2 + ab = -ax + a^2
bx - ax + ax + a^2 - a^2 - ab + ab = b^2
bx = b^2
x = b = the x coordinate of S.
c). The point R has the same x coordinate as S So RS is perpendicular to OB.
Answer:
The value of the shares Samantha owns is $3,010
Step-by-step explanation:
Step 1
We add all the shares together and find out the cost of each share per dollar
Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares.
Total amount of shares = (70 + 50 + 40) shares
= 160 shares
Step 2
The cost of share per dollar =
Values of shares/ Total number of shares
= $6,880/160 shares
= $43
1 share = $43
Step 3
The value of the shares Samantha owns is calculated as:
Number of shares Samantha owns × cost of share per dollar
Samantha owns 70 shares
Hence:
= 70 × $43
= $3010
The value of the shares Samantha owns is $3,010
Respuesta:
20/31
Explicación paso a paso:
Para obtener respuestas a la Pregunta, contamos el punto ya que representa el número de estudiantes:
El número total de estudiantes se puede obtener contando todos los puntos en el diagrama de venn = 31
Número de estudiantes que juegan fútbol solos = número de puntos en la parte F del diagrama de Venn = 4
Número de estudiantes que juegan béisbol solos = número de puntos en la parte B del diagrama de Venn = 2
Número de estudiantes que juegan fútbol y béisbol = 5
La probabilidad de que un estudiante elegido al azar no juegue fútbol o béisbol:
El número de puntos que quedan fuera de los círculos se refiere al número de estudiantes que no participan en ninguno de los dos deportes = 20
P (sin béisbol o fútbol) = 20/31
