find the value of a so tha the lines represented by 2x+3y=7 and x-8y=7 are perpendicular

Answers

Answer 1

Answer:

y = -5, x = 4

Answer 2

The value of a are; a = 6

Since Perpendicular lines have a slope that is negative reciprocal of each other. There product = -1

Solve both equations for y.

2x+3y=7                             x-8y=7

3y = ax + 7                                 8y = -4x + 2

y = ax/3 + 8/3                               y = -4x/8 + 2/8

y = a/3(x) + 8/3                              y = -1/2(x) + 1/4

Now we know that the slope;

y = -1/2(x)+ 1/4  is -1/2

Then the slope of y = a/3(x) + 8/3 is a/3.  

Now the value of "a" will make the lines perpendicular.

You know that one line slope is -1/2 so the other line slope is 2 because the slope are negative reciprocal.  

Thus remember that the slope is the coefficient of the x term.

Now   a/3 = 2 ; a = 6  

Learn more about slope here:

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Related Questions

using the elimination method how do I find x and y for the following problem:

3x+5y=-1
x + 5y = 4

Answers

Answer:

x is equal to -3, and y is equal to eight fifths, or 1.6

Step-by-step explanation:

Solving by elimination means to add or subtract one of the equations from the other, eliminating one of their common terms.

Because both of the provided ones have the term 5y (and no other y terms), let's use subtraction:

   3x + 5y = -1

- ( x + 5y = 5 )

   2x + 0 = -6

Which we can solve pretty quick:

2x = -6

x = -3

We can now solve either of the original equations for y:

x + 5y = 5

-3 + 5y = 5

5y = 8

y = 8/5, or 1.6

To make sure we're correct, let's test our results in the other equation:

3x + 5y = -1

3 × -3 + 5 × 8/5 = -1

-9 + 8 = -1

-1 = -1

So we're good!

Which shows the best use of the associative and commutative properties to
make simplifying 2.4 + 13 – 5 + 3.6 +7 easier?
O A. (2.4 + 13) + (-5 +3.6 + 7)
O B. (2.4 + (-5) + 13) + (7 + 3.6)
O C. (7+ 2.4 + 13) + [3.6+ (-5)]
O D. (2.4+ 3.6) + [13 +7+(-5)]

Answers

Answer:

D

Step-by-step explanation:

So the associative and commutative properties basically say That you can change the orders of the numbers and the answer won't change (for multiplication and addition).

Your answer would be D because they added the numbers with a decimal place together, it makes it easier to look at, and add in your head.

please help i need this done by tonight at midnight

Answers

Answer:

no se no mergas yo mejor te aconsejo que quemes tu libreta te encierres en tu cuarto para que tu mamá no te de un chanclaso

PLease help please i need helo on this

Answers

I=315
IIII
III
II
I
II
III
IIII

Plz help due tomorrow

Answers

Answer:

D, or the last option

Step-by-step explanation:

Answer:

1/2-5d

Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.

WILL MARK BRAINLEST!!!!!!
What should be the first step in adding these equations to eliminate y?
8x + 3y = 2
+ 4x - 6y= -7
O A. Multiply the top equation by 4.
O B. Multiply the bottom equation by 8.
C. Multiply the bottom equation by 2.
D. Multiply the top equation by 2.

Answers

D. Multiply the top equation by 2.

Answer:

D

Step-by-step explanation:

Given the 2 equations

8x + 3y = 2 → (1)

4x - 6y = - 7 → (2)

Multiplying the top equation (1) by 2 and adding to (2) will eliminate y

16x + 6y = 4 → (3)

Add (2) and (3) term by term to eliminate y

20x + 0 = - 3

20x = - 3 ( y has been eliminated )

A cubic foot holds about 7.5 gallons of water. A ceramic container the shape of a square pyramid has a height of 8 feet. The edges of its base measure 2.7 feet. How many gallons of water will this container hold?

Answers

Answer:

b

Step-by-step explanation:

Answer: b

Step-by-step explanation: fdfdfd

Plz help me
It's the same as the last question

Answers

Answer:

4x+4x+7x=180

15x=180

x=12

Step-by-step explanation:

Answer:

From the lines we know that that two sides are the same so the other angle is also 4x

the total of a triangle equals 180 so

4x+4x+7x=180

15x=180

x=12

Hope This Helps!!!

Help me please I will give brainliest

Answers

3rd and 4th box
I just know

Tell whether the rates are equivalent. 0.4 kilometer for every 15 minutes 0.6 kilometer for every 20 minutes

Answers

Answer:

no they are not equivalent

Step-by-step explanation:

0.4/15 = 0.026

so for every minute they travel 0.026km

0.6/20 = 0.03

so for every minute they travel 0.03km

so they are not the same/equivalent

What number is 0.409 more than 0.733? HELP

Answers

Answer:

= 1.223

Step-by-step explanation:

0.409 more than 0.733 means the addition of 0.733 + 0.409

0.733 + 0.409

= 1.223

Approximately to one decimal place = 1.2

Two swimming teams are competing in a 400 meter medley relay. During the last leg of the race,
the swimmer in lane 1 has a 1.7 second head start on the swimmer in lane 2. The swimmer in
lane 1 is swimming at 1.9 m/sec. The swimmer in lane 2 is swimming at 2.3 m/sec.
Lett be the time since the swimmer in lane 2 started the last leg. After how many seconds into
the leg will the swimmer in lane 2 catch up with the swimmer in lane 1?

Answers

Answer:

4 seconds

Step-by-step explanation:

I completed a table, swimmer 1 started with 1.7 while swimmer 2 started with 0. After adding 1.9 to swimmer 1 each time and 2.3 for swimmer 2, swimmer 2 caught up at 4 seconds

Solve using fractional law exponent rule

Answers

Answer:

hope this help

Step-by-step explanation:

8 3/ 5 so that is the answer

the answer is 8 3/5! hope this helps!!

[tex]21x^2-25x-4=0[/tex]

Answers

Answer:

That's unreadable. Could you send a photo instead?

Step-by-step explanation:

23
Knee socks are 2 pair for $3.18, and anklets are 3 pair for $4.47. Which of the following
is true?

Answers

Answer:

2 pair=3.18×2=6.36

3pair anklets=3×4.47=13.47

total=19.77

6.36+13.41

19.77

1. What is the sine of angle in the triangle below?
10
13

Answers

i can’t see the triangle

A 16-ounce package of cereal costs $4.00. What is the unit cost?

Answers

Answer:

$0.25/1oz

Step-by-step explanation:

$4.00 / 16oz = $0.25 per ounce

Answer:

The answer is D) $0.25 for every 1 oz

Step-by-step explanation:

In order to find a unit cost of something, you divide the amount of money per item, by the amount of the product. So, you divide 4/16 and get .25. Then you know already that that is the unit cost. So, every 1 oz of the product costs 25 cents. Hope this helps :)

За + 2b – 8а + Ь
Please help

Answers

Combine the like terms
3b-5a
Or -5a+3b if keeping in a certain order

Answer:

-5a+3b

Step-by-step explanation:

-5a+3b Combine like terms

What do you add to
5 3/7 to make 8?

Answers

Answer:

2 4/7

Step-by-step explanation:

3/7+4/7= 7/7 or 1 whole

So you add that to the 5 and get 6, then you need 2 to get to 8 because 6+2=8

Hope this helped!!!

Answer:

2 4/7

Step-by-step explanation:

let n = number to add to 5 3/7

change 5 3/7 to improper fraction: 38

                                                            7

change 8 to become 56

                                     7

create equation:

38 + n = 56

 7               7

n = 56 - 38

       7        7

n = 18 or 2 4/7

       7

check:  5 3 + 2 4 = 8

                 7         7

5 + 2 = 7 and 3/7 + 4/7 = 1

7 + 1 = 8

The rain gauge shows 3 centimeters of rainwater.

Which of the equations below gives the height, h, if it rains at a rate of 0.25 centimeters per hour after t hours? Hint: the h is the "y" and the t is replacing "x"


A. h=0.25t+3h is equal to 0 point 2 5 t plus 3

B. h=3t+0.25h is equal to 3 t plus 0 point 2 5

C. t=0.25h+3t is equal to 0 point 2 5 h plus 3

D. t=3h+0.25

Answers

Answer:

h=0.25t+3

Step-by-step explanation:

y=mx+b

y=0.25x+3

replace y with h and x with t

h=0.25t+3

Can someone help me with this ASAP 25 points

Answers

Answer:

180(as straight line)-125=55

so SQR or x is 55 degrees

Answer:

x = 55°

Step-by-step explanation:

Straight angle equals 180°

PQR = 180°

PQR = PQS + SQR angle addition postulate

180° = 125° + xx = 180° - 125°x = 55°

A plumber charges $55 for a service call plus $35 per hour. If the plumber’s bill was $160, how many hours was he there?

Answers

y = 35x + 55
160 = 35x + 55
-55
105 = 35x
3 = x
the plumber was there for 3 hours

Find the diagonal distance between 2,-1 -3,2 the two points given be sure to round to the nearest tenth

Answers

Answer:

[tex]d=15[/tex]

Step-by-step explanation:

From the question we are told that

Two points

[tex]x=(2,-1)\\y=(-3,2)[/tex]

Generally distance formula is mathematically given by

[tex]d=\sqrt{(x1-x2)^2(y2-y1)^2}[/tex]

[tex]d=\sqrt{(2-(-3))^2((-1)-(2))^2}[/tex]

[tex]d=15[/tex]

Which graph shows all real numbers closer to 0 than they are to 4?

Answers

It has to be A because it’s the real numbers closer 0 then they are at 4

Answer:a

Step-by-step explanation:

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?

negative 2 over 3 is located to the right of −1
negative 2 over 3 is located on the left of −1
negative 2 over 3 is located on the right of 0, and −1 is located on the left of 0
negative 2 over 3 is located on the left of 0, and −1 is located on the right of 0

Answers

Answer:

2 to the 3rd of the queation would be around 17

Step-by-step explanation:

Answer:

-2 over 3 is located to the left of -1

Step-by-step explanation:

Which polynomial is factored completely?

Answers

Completely factored:

(4x+4)(x+1) and 2x(x²-4)

Step-by-step explanation:

We have to check each option one by one, It is sum of two perfect square, As we know sum of two perfect square can't be factored. It is prime equation.

Here we have two factor (4x+4) and (x+1). In both factor degree of x is 1. It is complete factor form. Here we have two factor 4x and x²-4. For second factor it is further factor. Because it is difference of square. Factor of x²-4 = (x+2)(x-2)

Complete Factor: 2x(x+2)(x-2)[/tex],

Here variable are not same. So, it can't be factor (false)

Write a story that could represent this math problem.

A rectangle partitioned into thirds five times. The first part, the second part, the fourth part, the fifth part, the seventh part, the eighth part, the tenth part, the eleventh part, the thirteenth part, and the fourteenth part are shaded.

Answers

Answer: Bryan had 2/3 of a chocolate bar. Four of his friends also had 2/3 of a chocolate bar. How much chocolate did they have all together?

Step-by-step explanation:

The math problem is 2/3 x 5 so if he had five people, including him. That would be 2/3 x 5

Answer: it is a

Step-by-step explanation:  did when who bs ehd

Solve the following:
a)
5x - 1 = 3x + 9
b)
2x + 4 = 6x - 16

Answers

Answer:

a = 5

b = 5

Step-by-step explanation:


Increase 100 by 85%

Answers

Answer:

100, percentage increased by 85% (percent) of its value = 185 Jan 16 02:56 UTC (GMT

Answer:

=100+85%

=100.85.......

Express (x + 10)^2 as a trinomial in standard form.

Answers

Answer:

x2-20x+100

Step-by-step explanation:

You have to factor the expression in order to get your answer

Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get  , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together:  . Then combine like terms

The required trinomial in standard form is x²+20x+100.

Trinomial:

Important information:

The expression is the [tex](x+10)^2[/tex].

Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]

[tex](x+10)^2=x^2+20x+100[/tex]

Therefore, the required trinomial in standard form is x²+20x+100.

Find out more about 'Trinomial' here:

https://brainly.com/question/860565

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