Please please help me

Wewaii [24]

You plug in x for 3 so it would be 10(3) + 2, and 10 times 3 is 30 and 30 plus 2 is 32

7 0

2 years ago

Enter an equation in point-slope form for the perpendicular bisector of the segment with endpoints M(−3, 7) and N(9, −3). The po

scZoUnD [109]

Answer:

5y - 6x = 53

Step-by-step explanation:

Given the segment with endpoints M(−3, 7) and N(9, −3), let us find the slope first

m = y2-y1/x2-x1

m = -3-7/9-(-3)

m = -10/12

m = -5/6

Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:

m = -1/(-5/6)

m = 6/5

To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c

7 = 6/5 (-3)+c

7 = -18/5 + c

c = 7 + 18/5

c = (35+18)/5

c = 53/5

Substitute m = 6/5 and c = 53/5

y = 6/5 x + 53/5

multiply through by 5

5y = 6x + 53

5y - 6x = 53

hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53

6 0

2 years ago

Mrs Wall usually buys 12 pints of milk each week and pays her milkman £3.72. One week she had visitors and ordered an extra 3 pi

ziro4ka [17]

Answer:

£4.65 is her bill

Step-by-step explanation:

Here, we firstly need to calculate the unit price of a pint

Mathematically, in this case, that will be 3.72/12 = 0.31

ordering 3 extra pints means she would be buying a total 15

The price of this will be;

0.31 * 15 = £4.65

4 0

3 years ago

Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s

netineya [11]

Answer:

The length of the loop is approximately 49.58 km.

Step-by-step explanation:

Given:

Time required to ride bicycle in loop = 2 hours and 30 mins

Now we know that;

60 mins = 1 hour

30 mins =0.5 hour

so 2 hour and 30 mins = $2+0.5 = 2.5\ hrs$

∴ Time required to ride bicycle in loop = 2.5 hrs

Let the speed at which she is riding the bicycle be 's'.

and let Total distance of the loop be 'd'

Now we know that;

Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.5s \ \ \ \ equation \ 1$

Now Given:

If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.

Hence we can say;

Speed = $s+1$

Also time will be reduce to 7 mins.

7 mins =0.12 hrs

Now time = 2.5-0.12 =2.38

Again Distance is given by speed multiplied by time.

framing in equation form we get;

$d =2.38(s+1) \ \ \ \ equation \ 2$

Now distance is same for both so we will calculate the speed by equating the equations.

$2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr$

Now Speed = 19.83 km/hr

Length of the loop (d) = $19.83\times 2.5 = 49.58 \ km$

Hence the length of the loop is approximately 49.58 km.

7 0

3 years ago

32. Martin has $4,200 in doctor bills for the year. His

slega [8]

Answer:

$1,080

Step-by-step explanation:

After the deductible is paid, $4,200-$300=$3,900 remain in fees. The policy pays 80% of this, which leaves 20% left, or 3,900*0.2=$780. Including the deductible of $300, the total cost is $780+$300=$1,080.

7 0

2 years ago