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2 years ago

Find the slope of the line perpendicular

Mathematics

1 answer:

siniylev [52]2 years ago

6 0

Ok since your given two points of (-5,2) and origin which is always (0,0) you can find the slope with this formula of y2-y1/x2-x1 plug them in the formula and you should get 0-2/0-5 which is equal to -2/-5 or 2/5 negative signs cancel out now you found your slope but remember the promblem was asking for perpendicular slope to get this you simply flip or reciprocate the slope and take take the opposite sign in our case the slope is 2/5 but the perpendicular version is -5/2 hope this helps.

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X² + y² = 34<br>x + y =8

Nataly [62]

Step-by-step explanation:

${x}^{2} + {y}^{2} = 34 \\ x + y = 8 \\ x = 8 - y \\ substitute \: x \: in \\ {x}^{2} + {y}^{2} = 34 \\ {(8 - 4)}^{2} + {y}^{2} = 34 \\ {(8 - 4) }^{2} = {y}^{2} - 16y + 64 \\ {y}^{2} - 16y + 64 + {y}^{2} = 34 \\ {2y}^{2} - 16y + 64 = 34 \\ {2y}^{2} - 16y + 64 - 34 = 0 \\ {2y}^{2} - 16y + 30 = 0 \\ 2 {y}^{2} - 6y - 10y + 30 = 0 \\ (2 {y}^{2} - 6y) - (10y + 30) = 0 \\ 2y(y - 3) - 10(y - 3) = 0 \\ (2y - 10)(y - 3) \\ 2y = 10 \\ y = \frac{10}{2} \\ y = 5 \\ or \\ y = 3 \\ if \: y = 5 \: \: x = 3 \\ if \: y = 3 \: \: x = 5$

4 0

2 years ago

A tourist boat is used for sightseeing in a nearby river. The boat travels 2.4 miles downstream and in the same amount of time,

topjm [15]

Answer: the current of the river is 3 mph.

Step-by-step explanation:

Let x represent the current of the river.

The boat travels 2.4 miles downstream. Assuming it travelled with the current of the river. If the boat travels at an average speed of 21 miles per hour in the still water, it means that the total speed at which the boat travelled downstream is

(21 + x) mph

Time = distance/speed

Time taken to travel downstream is

2.4/(21 + x)

it travels 1.8 miles upstream. Assuming it travelled against the current of the river. it means that the total speed at which the boat travelled upstream is

(21 - x) mph

Time taken to travel upstream is

1.8/(21 - x)

Since the time taken to travel upstream and downstream is the same, then

2.4/(21 + x) = 1.8/(21 - x)

Cross multiplying, it becomes

2.4(21 - x) = 1.8(21 + x)

50.4 - 2.4x = 37.8 + 1.8x

2.4x + 1.8x = 50.4 - 37.8

4.2x = 12.6

x = 12.6/4.2

x = 3 mph

7 0

2 years ago

Read 2 more answers

What is the solution to the inequality 5x - 11 ≥ 31

Molodets [167]

1

Add 1111 to both sides

5x\ge 31+115x≥31+11

2

Simplify 31+1131+11 to 4242

5x\ge 425x≥42

3

Divide both sides by 55

x\ge \frac{42}{5}x≥542

7 0

2 years ago

Consider the polynomial p(x)=8x3+12x2+2x+3.

Ivahew [28]

A: $(4x^2+1)(2x+3)$

B: grouping

Step-by-step explanation:

We are given the polynomial: $p(x)=8x^3+12x^2+2x+3$

Part A: What is the correct factorization of $p(x)=8x^3+12x^2+2x+3$ over the integers?

We need to factorize the term $p(x)=8x^3+12x^2+2x+3$

Factorizing by grouping:

$p(x)=8x^3+12x^2+2x+3$

$p(x)=(8x^3+12x^2)+(2x+3)$

$p(x)=4x^2(2x+3)+1(2x+3)$

$p(x)=(4x^2+1)(2x+3)$

So, factors of the term $p(x)=8x^3+12x^2+2x+3$ are $p(x)=(4x^2+1)(2x+3)$

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

The method used to factor the given polynomial is grouping.

We group the terms and then find the common terms in that specific group

So, the answers are:

A: $(4x^2+1)(2x+3)$

B: grouping

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

3 0

2 years ago

I have a friend who is really stressed and depressed and couldn't get this done. it's 2am for them so they're going to sleep. I

lisabon 2012 [21]

Answer:

Step-by-step explanation:

first problem:

3 is a solution to x^2=9, so to a, b, c and d

second problem

-2 is a solution to:

a, b, c and d because (-2)^2=4, 4=4, b) 5*(-2)^2=5*4=20 and so on

basically to all choices

the third, solve the equations:

x^2=1, $\sqrt{x^2}$ = $\sqrt{1}$ , x=1

x^2=81 sqrtx^2=sqrt81, x=+and -9

4x^2=1 divide by 4 , x^2=1/4, x=+&- 1/2 (plus si minus 1/2, amindoua solutiile sint valabile)

3x^2=75, we divide by 3, we get x^2=25, x=+&-5

49x^2=121 , x=+and- 11/7

25x^2=225 divide by 25, x^2=9, x =+and - 3

36x^2=144 we divide by 36, we get x^2=4, x = +and- 2

x^2-0.25=0 x^2=0.25, x=+and - 1/2

2x^2-0.32=0 , 2x^2=0.32, x^2=0.16 ( i divided by 2) , x=+and- 2/5

4x^2=0.04, divide by 4, x^2=0.01, x=+and - 0.1

3x^2=10.8, divide by 3, x^2=3.6, x=+and - 1,89

for the : determinati solutiile ecuatiilor

a) (x-1)^2=49, do the quadratic, you get x=8 and -6

due to the length of this page, i cant explain every step

b) (2x+1)^2=81, you get x= 4 and -5

c)(3x-1)^2=121, do the quadratic, x=- 10/3 and +4

d) 3(x-3)^2=48, we divide by 3 first , (x-3)^2=16, we get x=7 and -1

e)5(x+2)^2=45 we divide by 5, (x+2)^2=9, x=+1and -5

f) 7(2x-1)^2=175 we divide by 7 and we have (2x-1)^2=25 x=+3 and -2

Determine x belong to R

a) 1/9 x^2=16, we multiply 9*16=144, x^2=144, x=+and - 12

1/100x^2-1/64=0, or 1/100 x^2=1/64, x=+and - 5/4

1/25 x^2=0.49, x^2=0.49*25=12.25, x=+ and - 7/2

8 0

2 years ago