MATHEMATICS MIDDLE SCHOOL

M(5,7) is the midpoint of RS the coordinates of S are (6,9) what are the coordinates of R

Answers

Answer 1

Answer:

Answer:

(4,5) i believe

Answer 2

Answer:

Answer:

(4, 5)

Step-by-step explanation:

Using the midpoint formula and equating x to 5 and y to 7, that is the coordinates of the midpoint M

let the coordinates of R be (x, y), then

0.5(x + 6) = 5 ( multiply both sides by 2 )

x + 6 = 10 ( subtract 6 from both sides )

x = 4

Similarly

0.5(y + 9) = 7 ( multiply both sides by 2 )

y + 9 = 14 ( subtract 9 from both sides )

y = 5

Thus coordinates of R = (4, 5 )

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10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the house and drove the sameroute as her father, but at an average speed of 48 mph. How far from homewere they when Miranda overtook her father?

Answers

Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t ⇒d=48t (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

Plz help, so confused, will report, just need these answers and explainations, correctly, thanks:)

Answers

Answer: 35

Step-by-step explanation:

it is 35 good luck :)

Please help me asap!

Answers

Answer:

$(7x + 7)/((x-3)(x+4))$

Excluded values are 3 and -4

Step-by-step explanation:

To simplify the expression multiply to create a common denominator.

Multiply the first fraction by (x-3) and the second fraction by (x+4).

$(3)/(x+4) + (4)/(x-3)\n\n(3(x-3))/((x+4)(x-3)) + (4(x+4))/((x-3)(x+4))$

$(3(x-3))/((x+4)(x-3)) + (4(x+4))/((x-3)(x+4)) \n\n(3(x-3) + 4(x+4))/((x-3)(x+4))\n\n(3x - 9 + 4x + 16)/((x-3)(x+4))\n\n(7x + 7)/((x-3)(x+4))$

Excluded values are values which make the denominator 0. This means (x-3)(x+4) cannot be 0. This means x cannot be 3 or -4. These are excluded values.

Write an equation in slope intercept form of the line m=3/2 and contains the point 2,9

Answers

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \n\n\n y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6$