Write the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) in slope-intercept form.

Answers

Answer 1

Answer:

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]

if two lines perpendicular,

[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]

the line perpendicular to this line is

[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R

the line passes through the point (10,-1)

so,

[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

[tex]y=-\frac{5}{2}x-24[/tex]


Related Questions

Simplify the expression

Answers

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

1 7/8 cups of ketchup times 3.​

Answers

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8

square picture has an area of 225 in^2 What is the side length of the picture

Answers

Answer:

15 in

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

Area of Square Formula: A = s²

s is the side length

Step-by-step explanation:

Step 1: Define

Identify variables

A = 225 in²

Step 2: Solve for s

Substitute in variables [Area of a Square Formula]:                                      s² = 225 in²[Equality Property] Square root both sides:                                                    s = 15 in

help me pleaseeee this is due tomorrow

Answers

Answer:

The value of A=7

The value of B=2

SEMOGA MEMBANTU

someone help with this, asap ty.

Answers

Answer:

Still C br-uh

Step-by-step explanation:

The answer would be C. :)

f(x)=3|x|
can you answer this question

Answers

(-2,6)
(-1,3)
(0,0)
(1,3)
(2,6)

Solve 4x−9y=13 for y

Please help

Answers

Answer: i dont know

Step-by-step explanation: 4

Here is the work

The answer is -1.44 (4 is repeating)

PLZ HELP (-8x-6)-4 to the 2nd power

Answers

Answer:x=-0.75

Step by step: 4 to 2nd power multiple 4 by 4 you get 16 so (-8x-6)16 multiply 16 to -6 and -8x and so on...

Evaluate the limit of sequence at infinity.
[tex] \displaystyle \large{ \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} }[/tex]
Please show your work too. Thanks!​

Answers

Answer:

[tex]\displaystyle \frac{ 1 }{3} [/tex]

Step-by-step explanation:

we would like to compute the following limit:

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} [/tex]

if we compute the limit from numerator to denominator directly,we'd end up with

[tex] \dfrac{ \infty }{ \infty } [/tex]

which is an indeterminate form so we must do it in a different way. well to compute this limit,we can consider factoring method . notice that we can factor the numerator and that yields

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{ {n}^{2} ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]

remember that ,

[tex] \sqrt{ab} \implies \sqrt{a} \sqrt{b} [/tex]

thus we acquire:

[tex]\displaystyle \lim_{n \to \infty } \frac{ {n} \sqrt{ ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]

reduce fraction:

[tex]\displaystyle \lim_{n \to \infty } \frac{ {} \sqrt{ 4 {}^{} + \frac{3}{n} } }{6} [/tex]

as n approaches to ∞ ,3/n approaches to 0 which yields:

[tex]\displaystyle \frac{ \sqrt{ 4 {}^{} } }{6} [/tex]

simplify square root:

[tex]\displaystyle \frac{ 2 }{6} [/tex]

reduce fraction:

[tex]\displaystyle \frac{ 1 }{3} [/tex]

hence,

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} = \boxed{ \frac{1}{3} }[/tex]

and we're done!

-32.306 + (-24.884) as a decimal.

Answers

-32.306 + (-24.884) = 5719/100 or -57.19

Help pleaseeeeeeeee

Answers

I hope this helps :)

Solve the equation. X+3.5 = 10

A.X = 13.5
B. X = 7.5
C. X = 6.5
D. X = 30.5

Answers

Answer:

the answer is C

Step-by-step explanation:

its making write more so yeah

Answer:

x=6.5

Step-by-step explanation:

subtract 3.5 from 10 and it gives you 6.5

:)

PLEASE ANSWER AS QUICK AS POSSIBLE
Which of the following operations would be used to solve 5x = 10?

Answers

Answer:

division

Step-by-step explanation:

you need to get x by its self. so divide by 5 on both sides and get x = 2

Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O pva
O р а
O p 9
O 9 p

Answers

I might be wrong but i think it is pva

PLSSSSSSSSS HELPPPPPOPPPOP

Answers

Answer:

Step-by-step explanation:

What is the algebraic expression for the word phrase " the quotient of 24 and 6 less than m”

Please help

Answers

Answer:

[tex]\displaystyle \frac{24}{-6 + m}[/tex]

Step-by-step explanation:

Whichever term is called first represents the numeratour and the leftover represents the denominatour.

I am joyous to assist you at any time.

The expression is 24/ m-6

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Given:

the quotient of 24 and 6 less than m

=24/m-6

Learn more about expression here:

https://brainly.com/question/24416748

#SPJ2

Look at this table:
Is this relation a function?

Answers

Answer:

Yes, because each x-value has a different y-value.

X/3 = -7.x/3 is a fraction

Answers

Lets simplify

[tex]\\ \sf\longmapsto \dfrac{x}{3}=-7.\dfrac{x}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{3}=\dfrac{-7x}{3}[/tex]

Cancel x/3

[tex]\\ \sf\longmapsto -7[/tex]

Hence its not a fraction

Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)

Plz help meee!

Answers

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

write an equivalent expression (x+2)(x-3) by using the distributive property

Answers

Answer:

x(x-6)

Step-by-step explanation:

(x+2)(x-3)

x^2-3x+2x-6

x^2-x-6

x(x-6)

work out b(4½-3⅔)+1⅔​

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

Which unit of measure provides the MOST accuracy when determining the time of a runner in the
100-meter race?
a. hour c. second
b. minute d. hundreth of a secon

Answers

Answer: hundreth of a second

Step-by-step explanation: it is most accurate unlike some of the larger units that could be used

the product of a number and 5

Answers

x • 5 hopefully this is right :)

Please help! Will mark brainliest! ^^

Answers

Answer:

1/8 = 0.125

14/20 = 0.7

2/3 = 0.67

4/5 = 0.8

Step-by-step explanation:

1/8: 0.125


14/20: 0.7


2/3: 0.6 but a slash on top of the six for the repeat sign


4/5; 0.8


1/4: 0.25


7/9: 0.7 put slash on top for repeat sign


Hope this helps *smiles*

The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?

Answers

Answer:

A'(5,-1)

Step-by-step explanation:

90° clockwise= (y,-x)

Point=A(1,5)

A(1,5)=A'(5,-1)

Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.

Answers

Answer:

y = -4/5x + 1

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m- slope, b- y-intercept

Use point (5, -3) and m = -4/5:

-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1

The line is:

y = -4/5x + 1

Answer:

b = 1

Step-by-step explanation:

We know that

y = mx + b

-3 = -4/5 × 5 + b

-3 = -20/5 + b

-3 = -4 + b

-3 + 4 = b

1 = b

Nina can braid 144 inches of rope in 3 hours find her unit rate round your answer to the nearest thousand

Answers

Answer:

48 inches

or

0.8 minutes

Step-by-step explanation:

To find the unit rate of inches per hour, divide 144 by 3.

144÷3=48

You don't need to round because there are no decimals.

To find the time to braid 1 inch, first multiply 3 by 60 (because there are 60 minutes in 1 hour).

3×60=180

Then divide 144 by 180.

144÷180= 0.8

You don't need to round because there are no thousandths.

I need to know what is the fraction, 2/5 as a decimal?

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Identify the domain of the function shown in the graph.​

Answers

Answer:

C. x is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.

How do I write this in slope intercept form: (-3,-4) and (4,-3)

PLEASE HELP I NEED IT TONIGHT!!!?!?!!!??

Answers

Slope intercept form is y = mx + b

Pick one of the coordinates, I’ll use (-3,-4) as the example.

Coordinates are just numbers plugged in for (x,y).

This means -3 would be your x and -4 would be your y.

So plug these numbers into the equation and you get -4 = m(-3) + b.

M is slope and to find slope, you need to do (y2-y1) / (x2-x1).

In other words, it would be (-3 - -4) / (4 - -3) = 1/7 which is your slope (m).

Now plug that in for m to get the b variable.

-4 = 1/7(-3) + b.

B = -3.57

Your answer is y = 1/7x -3.57
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