What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

[tex]y = \frac{2}{5} x - 4[/tex]

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

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

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

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


Related Questions

Find the missing length of the triangle. If necessary, round your answer to the nearest tenth

Answers

Answer: 26

Step-by-step explanation:

a² + b² = c²         Use Pythagorean Theorem to find the missing length, a & b are the side of a right triangle, and c is the hypotenuse of the right triangle.    

10² + 24² = x²     In this triangle, the x was the hypotenuse, which is c, plug 10 and 24 into a and b.

100 + 576 = x²

          676= x²            

rewrite as

            x²  = 676

          √x² = √676     [solve the square root from both side]

             x   = 26

GIVING BRAINLIEST
will someone explain to me how to factor a quadratic equation using GCF?
explain it to me thoroughly

Answers

Answer:

To factor the GCF out of a polynomial, we do the following:

Find the GCF of all the terms in the polynomial.

Express each term as a product of the GCF and another factor.

Use the distributive property to factor out the GCF.

Answer:

1.Find the GCF of all the terms in the polynomial.

2.Express each term as a product of the GCF and another factor.

3.Use the distributive property to factor out the GCF.

Step-by-step explanation:

At the restaurant i 23 Σ π, they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options. How many unique 4-course meals

Answers

Answer:

129168

Step-by-step explanation:

they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.

Number of 4 course meal ( all unique) that can be made

=13C1×23C1×24C1×18C1

= 13×23×24×18 = 129168

Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.

Combination:

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.

Given that,

[tex]13[/tex] appetizer   [tex]23[/tex] soup    [tex]24[/tex] entree   [tex]18[/tex] dessert

[tex]4-[/tex]course meal can be prepared as follows:

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex]   (use combination for each given)

Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]

[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]

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What is the circumference of a circle that has an area of 56?
HELPPP

Answers

Answer:

6.283

Step-by-step explanation:

A cylinder has a base radius of 6 feet and a height of 12 feet. What is its volume in cubic feet, to the nearest tenths place?

Answers

Answer:

its is either 339.3 or 1357.2

Step-by-step explanation:

The volume of the cylinder having radius 6 feet and height 12 feet is  1357.7 cubic feet.

What is volume?

Volume is referred to as the area occupied within an object's three-dimensional space.

Given that,

The radius of cylinder r = 6 feet,

And the height of the cylinder h = 12 feet.

To find the volume of the cylinder, use formula,

Volume of cylinder = π × r² ×h

= (22/7) × 6 × 6 × 12

= (22/7) × 432

= 9504 / 7

= 1357.7 cubic feet.

The required volume of the cylinder is 1357.7 cubic feet.

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can somebody help I am really bad at this

Answers

Answer:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

Volume?????????????????????

Answers

Answer:

2340

Step-by-step explanation:

LxWxH

20x22x3(2)

=440x6

=2340

2340
LxWxH
22x20x2(3)

2340

How do you simplify (4 – 5) – (13 – 18 + 2) ?

Answers

Answer:

2

Step-by-step explanation:

4-5= -1

13-18+2= (-5+2)= -3

-1-(-3)=2

Don't forget your order of operations

P (parenthesis)

E (exponents)

MD (multiplication/division)

AS (addition/subtraction)

Answer:

2

Step-by-step explanation:

use pemdas (parenthesis, exponents, multiplication, division, addition, and subtraction) to solve:

first: 4-5 = -1

second: 13-18+2 = -3

third: (-1) - (-3) = 2

Please help it’s due today

Answers

Answer:

answer is B hope this helps

Step-by-step explanation:

Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?

Answers

Answer:

7 cars

Step-by-step explanation:

The computation of the number of cars to be filled is shown below:

A car that is 90% full and the total people is 20 so 90% would be

= (.90)(20)

= 18

A car that is 65% full and the total people is 20 so 65% would be

= (.65)(20)

= 13

Now

Total number of people = (5)(18) + (3)(13).

= 129

Now the number of cars to be filled is

= 129 ÷ 20

= 6.45

= 7 cars

3 2/3 x+3 1/4=6 whats the value of x

Answers

Answer:

x = 3/4

Step-by-step explanation:

Answer:

x = 3/4

Step-by-step explanation:

Find the LCD of the fractions.  Multiplying the denominators 3 and 4 together, we get LCD = 12.  

Rewriting the mixed numbers, we get

3 2/3 = 3 8/12 and 3 1/4 = 3 3/12

So the original equation becomes

(3 8/12)x + 3 3/12 = 6

We must now combine like terms:  subtract 3 3/12 from both sides of this equation, obtaining:

(3 8/12)x = 6 - 3 3/12, or

(3 8/12)x = 2 9/12.  Converting the mixed numbers into improper fractions, we get:

(44/12)x = 33/12.  Multiplying both sides by 12 yields 44x = 33

and so x = 33/44 = 3/4

x = 3/4

Alternatively, convert the original mixed numbers into improper fractions right away.  Then the original   3 2/3 x+3 1/4=6

becomes (11/3)x + 13/4 = 72/12, or

                 (44/12)x + 39/12 = 72/12

Multiplying all three terms by 12 yields:

44x + 39 = 72, which simplifies to 44x = 33, or x = 3/4

Please help. Find the value of x in the triangle shown below.
5
8

Answers

Answer:

x=+-[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex]=[tex]8^{2}[/tex] + [tex]5^{2}[/tex]

[tex]x^{2}[/tex]=64+25

[tex]x^{2}[/tex]=89  

x=+-[tex]\sqrt{89}[/tex]

A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​

Answers

Answer:

4⁴/7³ or 256/343

Step-by-step explanation:

Given GP with

a₄ = 4a₅ = 7a₁ = ?

Let the common difference is r, then

a₅ = a₄ra₁r³ = 4a₁r⁴ = 7

Solve for r and then a₁:

4r = 7 ⇒ r = 7/4a₁(7/4)³ = 4a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343

need help im struggling ​

Answers

Answer:

the first answer is correct

Step-by-step explanation:

before we started we had not caught any fish

Answer:

I think a is correct bc the rest aren't true

hope this helped

Jordan is mailing a package at the post office. The box measures 8 3/4 inches long, 2 6/7 inches wide, and 5 inches high. What is the volume of his box? Answer without units.

Answers

Answer: Volume of box( without units)=125

Step-by-step explanation:

Volume of a box  Length x width x height

Given that the  box weighs

8 3/4 inches  in length

2 6/7 inches in width ,

5 inches in height

Volume = 8 3/4in x 2 6/7in  x 5in

= 35/4in x 20/7 in x 5in

=5/4 x 20 x 5

=5x5x5=125 in³

Angle 5 and angle 6 or vertical 6 is 55° what is the measure of angle 6

Answers

Answer:

76 becuase of i took the test

Step-by-step explanation:

Item 6
Find the selling price.

Cost to store: $50

Markup: 10%

The selling price is?

Answers

50×100÷110=45.454545r6

Given circle B below, find the value of x.

(3x + 10)
(2x - 17)

Answers

Answer: 44

Step-by-step explanation:

since the inscribed angle is half of true arc measure, (3x+10)= 2(2x-17).

when you work this out, you get 44 as x.

The value of x from the given figure is 44°. Therefore, option B is the correct answer.

What is relation between angle at the center and the angle at the circumference?

The angle subtended by an arc at the center is twice the angle subtended at the circumference . More simply, the angle at the center is double the angle at the circumference.

From the given figure,

Angle at circumference is (2x-17)° and angle at center is (3x+10)°.

Now, (3x+10)°=2(2x-17)°

3x+10=4x-34

4x-3x=10+34

x=44°

Therefore, option B is the correct answer.

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In 2007, the value of a house was £119,995 From 2007 to 2018, house prices decreased by 9.4%. How much has the value of the house decreased by?

Answers

Answer: £11,279.53

Step-by-step explanation:

Given

In 2007, the price of the house was £119,995

Price decreases by 9.4%

[tex]\Rightarrow \text{Current Price}=\text{Old Price}-9.4\%\text{Old Price}\\\Rightarrow 119,995-9.4\%\ \text{of}\ 119,995\\\Rightarrow 119,995(1-0.094)=119,995\times 0.906\\\Rightarrow 108,715.47[/tex]

Price decreased by 119,995-108,715.47=£11,279.53

A cone has a volume of 314 cubic millimeters and a height of 12 millimeters. What is its
radius?
Use 3.14 and round your answer to the nearest hundredth.
(Please no links just a straightforward answer ASAP)

Answers

Answer:

The answer is 14

Step-by-step explanation:

HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

a is 44

b is 8.8

c is 33

Step-by-step explanation:

giv me brainliest plz

Which point is coplanar with a, b and c in the diagram below

Answers

Answer:

D because it on the same plane as abc so it is a coplanar. also I got it right on my test.

Point D is coplanar with A, B, and C because it is on the same plane as A, B, and C option (4) is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

A rectangular prism is given,

Geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

As we know in the rectangular prism there are eight vertices and six faces.

From the figure, we can see clearly that point D is coplanar with A, B, and C.

Point D is coplanar with A, B, and, C.

Thus, point D is coplanar with A, B, and C because it is on the same plane as A, B, and C option (4) is correct.

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Consider this story problem: "Priscilla bought cheese that weighs ¾ pounds. If she divides it into portions that are each 1/8 pound, how many portions can she make?" The value 3/4 is which part of the equation?

Answers

Answer:

4

Step-by-step explanation:

If the determinant of this matrix is 24, what is the value of b? A. 4 B. 8 C. 16 D. 20

Answers

Answer: B=8

Step-by-step explanation: I got this right on Edmentum.

The value of the variable b will be 8. Then the correct option is B.

What is determinant?

The determinant in math is a scalar quantity that is a result of the rows and columns of a matrix form.

If the determinant of this matrix is 24.

The matrix is given below.

[tex]\begin{bmatrix}-5 & 4 & 1 \\5 & -7 & -4 \\-6 & b & 6 \\\end{bmatrix}[/tex]

R₁ ⇒ R₁ + R₂

[tex]\begin{bmatrix}0 & -3 & -3 \\5 & -7 & -4 \\-6 & b & 6 \\\end{bmatrix}[/tex]

C₂ ⇒ C₂ – C₃

[tex]\begin{bmatrix}0 & 0 & -3 \\5 & -3 & -4 \\-6 & b-6 & 6 \\\end{bmatrix}[/tex]

Then the value of b will be

–3[5(b – 6) – (–3)(–6)] = 24

             (5b – 30 – 18) = –8

                                5b = 40

                                  b = 8

Then the correct option is B.

The question was incomplete, but the complete question is given below.

More about the determinant link is given below.

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I'll give brainliest to whoever answers correctly.

Answers

Answer:

29

Step-by-step explanation: pls dont get mad if it is wrong

<3<3<3<3<3<3

Answer:

29

<3<3<3<3<3<3

MATH HELP PLZ 15 BRAINLY POINTS ASAPTYSM IF YOU PUT IN A RADNOM ANSWER JUST TO GET POINTS I WILLREPORT YOU I SWEAR

Answers

Answer:

4.75s+48

Step-by-step explanation:

4.75 times s + the amount of scarves

because in the problem it says the fee is for each scarf

SELECT ALL THAT APPLY!!

Which lines have a slope of -2?

line a
line c
line b
line d

Answers

Answer:

lines a and b

Step-by-step explanation:

A negative slope makes the line face leftward so that leaves a and b.

Answer:

Lines A & B

Step-by-step explanation:

What is the measure of the missing angle? 33° 119° ?

Answers

Answer:

28 degrees

Step-by-step explanation:

If the total angles equal 180, then 33 + 119 = 152, 180 - 152 = 28 degrees

A company received a total of $75,000 over a period of 5 years on an initial investment of $15,000. What is its annualized ROI?
final value - initial value
ROI =
100
Anualized ROI =
initial value
ROI
number of years
26%
80%
66.67%

Answers

Answer:

80%

Step-by-step explanation:

solve the following monomial
(2x³).(5x³)​

Answers

Answer:

10x^6

hope this helps

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