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2 years ago

Find the equation of the straight line passing through the point (3,3) which Is perpendicular to the line y=-1/2 x+4

Mathematics

1 answer:

Nataly [62]2 years ago

3 0

Answer:

y = 2x - 3.

Step-by-step explanation:

The perpendicular line will have slope - 1 / -1/2 = 2.

Using the point-slope form of the straight line:

y - y1 = m(x - x1)

Here m = 2 and (x1, y1) = (3, 3) so we have:

y -3 = 2(x - 3)

y = 2x - 6 + 3

y = 2x - 3.

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Jen’s goal is to run a total of 22 miles in five days. The table below shows her log for the number of miles she ran on Monday,

Ronch [10]

Answer: 5.875 miles run on Friday to reach her goal by Jen

Step-by-step explanation:

Since we have given that

Part of distance covered on Monday by Jen is given by

$4\frac{3}{4}=\frac{19}{4}$

Part of distance covered on Tuesday by Jen is given by

$5\frac{1}{8}\\\\=\frac{41}{8}$

Part of distance covered on Wednesday by Jen is given by

Part of distance covered on Thursday by Jen is given by

$6\frac{1}{4}\\\\=\frac{25}{4}$

Total part of distance covered in these four days by Jen is given by

$\frac{19}{4}+\frac{41}{8}+0+\frac{25}{4}\\\\=\frac{38+41+0+50}{8}\\\\=\frac{129}{8}=16.125\ miles$

Remaining part of distance will be covered on Friday to reach her goal which is given by

$22-16.125=5.875\ miles$

Hence, 5.875 miles run on Friday to reach her goal by Jen.

5 0

3 years ago

Read 2 more answers

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:

I am Lyosha [343]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Y=3x-2<br> Y=2x-5<br> Find X and Y using substitution

tiny-mole [99]

$y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)$

4 0

2 years ago

What the answer for this ? :/

goblinko [34]

Hello there! I can help you! In order to answer those questions, we need to plug in the values, based off of the variable.

g. Okay. We are solving b - 10. b = -8. When you subtract something from a negative number, the number is even lower. Let's add the numbers first and then put in the negative symbol. 8 + 10 is 18. Put the negative sign and you get -18. The difference is -18.

h. Now, we solve a - b. a = 5 and b = -8. Because we are subtracting a negative number from a positive, we have to add both numbers, which means the number gets bigger. Ignore the negative sign and add. 5 + 8 is 13. There. The sum is 13.

i. The problem is c - a. c = -9 and a = 5. So as explained on problem G, for this problem, ignore the negative symbol and add. 9 + 5 is 14. Plug in the negative sign to get -14. There. The difference is -14.

3 0

3 years ago

Hannah buys (2 1/5) dried fruit for 1.50 how much will she pay for 1 pound?

Vlada [557]

1.5x1/5=.3
half of 1.5 (because of 2 lbs of dried fruit ) is .75
.75+.3=.78 cents for 1 lb

8 0

3 years ago