Consider the line 7x+9y=5
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answers

Answer 1

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope b is the y-intercept

Given the equation

[tex]7x+9y=5[/tex]

simplifying to write in the lope-intercept form

[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]


Related Questions

I need help solving this

Answers

Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!

Answers

Answer:

D. 16 in.

Step-by-step explanation:

The radius of the circle is 8 in. The diameter of any circle is twice the radius.

2 x 8 = 16

The diameter is 16 in. long.

I hope this helped :)

Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.

Answers

Answer:

$15.90

Step-by-step explanation:

80 - 16.40 = 63.60

63.60÷4 =15.9

15.9 = $15.90

I need help solve this problem

Answers

Answer:

i am not sure of my answer sorry can you make the question simpler maybe then I can answer it

Step-by-step explanation:

Tickets for a family of 6 to go skiing cost $48. whats the unit price ?

Answers

The unit price would be $8.

48/6 = 8


Select all of the fractions that are equivalent to -2/3

o 2/-3

o -3/-2

o -2/-3

o - 2/3

o -3/2

o -2/2

Please helppp


Answers

Answer:

Step-by-step explanation:

⇒o 2/-3  Doesn't matter where the minus is as long as there an odd numbere of them.

o -3/-2

o -2/-3

⇒o - 2/3   This is given. Is it really listed.

o -3/2

o -2/2

There really are only 2 of them. 3/2 in any form is not equal to 2/3.

-2/2 = - 1 not -2/3

-2/-3 There are an even number of - signs. The answer is 2/3

What is 10and 1 half divided by 7 eights​

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10 1/2 / 7/8= 12

Which of the following expressions are undefined? CHOOSE ALL THAT APPLY

A. 6/0
B. 5/0
C. 6/5-5

Answers

Answer:

6/0, 5/0, 6/5-5

Step-by-step explanation:

You cannot divide a number by 0:

6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0

Helppppp
Thank You!!!

Answers

Answer: B and C

Step-by-step explanation: To start off, you subtract 3 from both sides, to get 4<z/2, then multiply both sides by 2, you get z>8. Now it's greater than 8, so it can't equal 8, so the answers would be B and C, since they are both greater than 8, and you have to select multiple choices.

Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.

Answers

Answer:

-1.6

Step-by-step explanation:

4 + 10x = -12

10x = -12 -4

x= -1.6

suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each

Answers

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

Subtract. Write your answer in simplest form.

3 1/8 - 7/12

A. 2 1/24
B. 3 13/24
C. 2 13/24
D. 3 11/24

Answers

Answer: C

Work:

1) Change the Mixed number into an improper fraction
3 x 8 = 24
1+24 = 25/3

2) Get both fractions on equal terms. Find the Greatest Common Denominator. In this case, it’s 24. Multiply by what you need to get 24. 8x3=24 and 12x2=24

3) Multiply Accordingly
25/8 x 3 = 75/24
7/12 x 2 = 14/24

4) Subtract and change back to Mixed Number
75-14 = 61
61/24 = 2 13/24


Answer:

I believe it is D

Step-by-step explanation:

What is the slope of the line represented by 3x - 7y = 28?

Answers

Answer: 3/7

Why?
Reorganize the equation 3x-7y=28 you get
Y=3/7x-4
Because y=mx+b and m=the slope this shows that the slope is 3/7

Hope this helps :D

Can anyone help me please??? Almost done Thank you!!

Answers

Answer:

you might’ve already answered this but it’s 65

Step-by-step explanation:

the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)

Answer:

65

Step-by-step explanation:

the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal

rationalise the denoninator of 1 ÷ 5 - square root of 2​

Answers

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

2/3 is square root of this and that’s the answer

Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)

Answers

Answer:

Growth rate is -0.25

Growth factor is 0.75

Step-by-step explanation:

The general form of an exponential equation is;

y = a(1 + r)^x

Where a is the initial value

r is the growth rate

For x = 3; we have

168.75 = 400(1 + r)^3 •••• (i)

For x = 2, we have

225 = 400(1 + r)^2 •••••(ii)

Divide i by ii

That will be;

168.75/225 = 1 + r

1 + r = 0.75

r = 0.75-1

r = -0.25

The growth rate is -0.25

The growth factor is 1-0.25 = 0.75

13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.

Write an equation that models the total profit for the business below.
​Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.

x | f(x)​​
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _

Answers

Answer:

The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]

So, we get slope [tex]m=\frac{3}{4}[/tex]

Now, finding y-intercept

Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept

[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]

The y-intercept is [tex]b=\frac{-29}{4}[/tex]

So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:

[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]

The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]

Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.

Answers

Answer:

1 mile

Step-by-step explanation:

Step one:

given

total distance = 15miles

Jack walks at a pace of 1.5 miles per hour

after 4 hours he will cover a distance of

1.5*4= 6 miles

Jill walks at a pace of 2 miles per hour

after 4 hours he will cover a distance of

2*4= 8 miles

Step two:

The total distance jack and jill must have covered after 4 hours is

8+6= 14 miles

the distance apart will be 15-14= 1 mile

i need help with surface area

Answers

The surface area of a solid object is a measure of the total area that the surface of the object occupies
Cube SA=6s^2 s =length of the side
Prism SA= 2B + ph B = area of the base. P = perimeter of the base. H =height

convert 18 1/10 into a decimal.

Answers

Answer:

the answer is 18.1 1/10 is the same thing as .1

What is the solution to this equation?

9x + 5 = 86

Answers

Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

I can't figure out d - 11 ​

Answers

Answer: d = 17

Step-by-step explanation:

d - 11 = 6

So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable

d = 17

d-11 would be d-11 there is nothing to combine

What is the value of z in the equation 4z-15=25

Answers

z = 10
4(10) - 15 = 25
40 - 15 = 25

Answer:

z=10

Step-by-step explanation:

4z - 15 =25

4z - 15+15 =25+15

4z=40

z=10

4. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute,
right, or obtuse.
a. Yes; acute triangle
c. Yes; right triangle
b. Yes; obtuse triangle

Answers

Yes it can be a Acute

Answer:

A. Yes; acute triangle

Step-by-step explanation:

a=6

b=14

c=13

Using Pythagorean theorem-

c^2 = a^2 + b^2

13^2 = 6^2 + 14^2

169 = 36 + 196

169 = 232

169 < 232

Therefore, (a) the triangle is acute.

If 169 =169 there would be a right triangle.

If c were greater than a + b there would be an obtuse triangle.

Given that g(x) = −2x+20, find g(−3).

Answers

Answer: 26

Step-by-step explanation:

Okay, so... The new equation would be -2(-3)+20...

So follow the rule of PEMDAS, PEMDAS is;

Parentheses

Exponents

Multiplication

Division

Adding

and Subtracting

Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.

-2(-3) = 6 because a negative multiplied by a negative is a positive..

Now we have 6 + 20 which is 26, so 26 is your answer.

Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?

Answers

Answer:when x= -2/3

That means, when the common product of f(x) & g(x) is x+2/3

Step-by-step explanation:

If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?

Answers

Answer:

The remainder is: f(-1) = -4

Step-by-step explanation:

We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)

Given the function

[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]

It is stated that the function f(x) is divided by x + 1.

Thus, substituting x = -1 in the function to find the remainder f(-1)

i.e

f(-1) = (-1)⁴ - 5

f(-1) = 1 - 5

f(-1) = -4

Therefore,

The remainder is: f(-1) = -4

Answer:

9

Step-by-step explanation:

Given the quadratic equation: f(x) = x2+4x-21

What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY

Answers

[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]

These are x-intercepts form. So the answer is (x+7)(x-3).

What sum is represented by the arrow diagram?

Answers

Answer:

Would it be 1?

Step-by-step explanation:

I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..

a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?

A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)

Answers

Answer:

c or d

Step-by-step explanation:

Y = 3/4x + b
2 = 3/4 + b, b = 1.25
Y = 3/4x + 1.25
Plug in the points and see
6 = 3 + 1.25, false
7 = 3 + 1.25, false
5 = 3.75 + 1.25, true
Solution: C. (5,5) is the answer
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